Quiz 2: Review and Applications of Algebra

Evaluate: L(1 - d₁)(1 - d₂) for L = $1000, d₁ = 0.30, and d₂ = 0.20. A) $440.00 B) $500.00 C) $1785.71 D) $560.00 E) $600.00

Simplify and collect like terms: -a + (2b - c) - (a -b +c) A) -2a + 3b - 2c B) -2a + b - 2c C) 3b - 2c D) -2a + 3b E) -2a + 2b - 2c

Simplify and collect like terms: 1 - (3x - xy + y) - (-x + y - 5xy) A) 1 - 2x - 2y - 6xy B) 1 - 2x - 2y + 6xy C) 1 - 4x - 2y + 6xy D) 1 - 2x - 2y + 4xy E) 1 - 4x - 2y - 6xy

2(b - 2) - (b - 2) = A) b + 6 B) 3b - 2 C) 3b + 2 D) b - 2 E) b - 6

Simplify and collect like terms: 3(x - 2y)(2x + y) A) 6x² - 6xy - 6y² B) 6x² + 10xy - 6y² C) 6x² - 9xy - 6y² D) 6x² - 9xy + 6y² E) 6x² + 10xy + 6y²

Simplify and collect like terms: 9x - [4y - 3(x - y)] A) 12 x + 7y B) 6x - 7y C) 6x + 7y D) 12x - 7y E) 9x - 7y

Simplify and collect like terms: A) 4x + 2y B) 4xy - 2y C) 4xy + 2y² D) 4x - 2y E) 4xy - 2y²

Simplify and collect like terms: A) 2y² - 3x²y + 5y³ B) 2xy - 3x²y + 5y³ C) 2y - 3x²y + 5y D) 2y - 3x² + 5y E) 2y - 3x²y + 5y³

The following algebraic expression , can be classified as: A) monomial B) binomial C) trinomial D) multinomial E) All choices are incorrect

The following numerical coefficient(s) of , is/are: A) -4,2 B) 3,4 C) 2 D) 3,-4,2 E) 3,-4

The following algebraic expression can be classified as: A) monomial B) binomial C) trinomial D) multinomial E) All choices are incorrect

Simplify and collect like terms: 4x + 5 - 2.1(x - 7) 8 A) -1.6x - 14.075 B) -1.6x - 15.325 C) 2.6x + 15.325 D) 2.6x - 14.075 E) -1.6x + 15.325

Simplify: A) -2a + 13 B) -2a - 1 C) -2a + 7 D) 2a + 7 E) 2a - 1

Simplify the following: a² x a⁶ x a A) a⁸ B) a⁷ C) a⁹ D) a¹² E) a¹³

Simplify the following: (a²) (a^-6) (a³) A) a¹¹ B) a C) a^-36 D) a^-1 E) a^-5

Simplify the following: b⁸  b² A) b⁴ B) b¹⁰ C) b¹⁶ D) b^-6 E) b⁶

Simplify the following: y⁸  y⁵ A) y¹³ B) y³ C) y^-40 D) y⁴⁰ E) y^-13

Simplify the following: (x⁵)⁴ A) x⁹ B) x²⁰ C) x D) x^-1 E) x⁰

Simplify the following: (2x³)⁵ A) 10x¹⁵ B) 32x⁸ C) 32x¹⁵ D) 2x¹⁵ E) 2x⁸

Simplify the following: A) x^-1 B) x⁶ C) x^-2 D) x⁷ E) x²

Simplify the following: A) a⁰ B) a C) a^-11 D) a^-5 E) a^-12

Simplify the following: A) 16a¹⁰b⁵ B) 2a¹⁰b⁵ C) 16a³b³ D) 2a⁵b⁵ E) 16a⁵b³

Simplify the following: A) B) C) D) E)

Simplify: 8 - (2x + 4y - 3) - (4y + 10) A) -8y - 2x + 21 B) -8y - 2x + 1 C) -8y - 2x - 2 D) -2x + 1 E) -2x + 21

(5x - 2y)(x - 2y) = A) 5x² - 12xy - 4y² B) 5x² + 8xy - 4y² C) 5x² - 12xy + 4y² D) 5x² - 8xy + 4y² E) 5x² + 12xy + 4y²

Simplify and collect like terms: A) -0.7x² - .4x + 1.15 B) 0.7x² - .4x + 1.15 C) -0.7x² - .4x + .35 D) 0.7x² - .4x + .35 E) -0.7x² + .8x + 1.15

Simplify and collect like terms: A) 3.076P B) 3.018P C) 2.787P D) 3.532P E) 2.956P

Simplify and collect like terms: A) 2.957x B) 2.208x C) 3.057x D) 2.068x E) 1.983x

Evaluate: -4(r - t) - (2r - 4t) for r = 1/2 and t = 1/4. A) 1 B) 5 C) 3 D) -5 E) -1

Evaluate the following expression: 3x + 4y -6xy, for x = 2, y = -3 A) 30 B) -42 C) 54 D) -18 E) 24

Evaluate the following expression: P(1 + rt), for P = $1575, r = .055, A) $39.87 B) $1614.87 C) $1973.71 D) $16,128 E) $724.96

Evaluate the following: 25^3/2 A) 8.6 B) 37.5 C) 125 D) 5 E) 625

Evaluate the following: -16^5/4 A) 32 B) 64 C) -64 D) -32 E) 10

Evaluate the following: 2.48832^1/5 = A) 95.396217 B) 0.0104826 C) 1.2 D) 3.0 E) 0.8333333

Evaluate the following: A) 14,857.17 B) 487.56 C) 3714.29 D) 60.945 E) 11.04

Evaluate the following: A) 12.006 B) 698.137 C) 1.201 D) 36.006 E) 35.58

Evaluate the following: A) 233.95 B) 6.888 C) 0.689 D) 23.395 E) 23.763

Evaluate the following: A) -5.857 B) -10.446 C) 5.857 D) 0.5857 E) 13.485

Evaluate the following: A) -9.971 B) -22.579 C) 58.29 D) 9.971 E) 25.743

Evaluate the following: = A) r⁹t⁴ B) r⁶t⁶ C) r⁶t⁷ D) r⁹t¹¹ E) r⁹t⁹

Evaluate the following: = A) r⁵ B) r^17/12 C) r¹² D) r² E) r³⁶

(8²)(2^-4)( -2)² = A) 1024 B) 256 C) 4 D) 48 E) 16

Calculate the final result to two decimal places, where x = $6.80 A) $26.28 B) $27.38 C) $28.48 D) $18.58 E) $30.28

Calculate the final result to two decimal places, where f = $8.25 A) -15.22 B) - 18.22 C) 12.22 D) 15.22 E) 18.22

Calculate the final result to two decimal places, where z = .1515 A) .48 B) 2.65 C) 1.48 D) 3.22 E) 5.48

Calculate the result to the nearest cent given n = 3; i = .087 and R = $925 A) $18,716.57 B) $22,512.13 C) $5,341.55 D) $2,354.02 E) $2,158.21

Calculate the result to two decimal places given t = 1.25 A) 4.43 B) 5.27 C) 3.85 D) 4.67 E) 3.10

Calculate the result to four decimal places given r = 1.3 and t = 2.6 A) 1.0683 B) .0563 C) .0885 D) 1.2573 E) 6.2675

Solve the following to four decimal places A) 49.5768 B) 45.1526 C) 47.4774 D) 21.6818 E) 32.9871

Solve the following to four decimal places A) 1.0390 B) 0.0678 C) 0.0412 D) 0.0390 E) 0.0098

Evaluate the following: A) B) C) D) E) 1

Solve for the unknown rounded to the nearest dollar. A) 1,500 B) 2,500 C) 1,750 D) 3,750 E) 875

Solve for the unknown rounded to the nearest cent. A) 108.74 B) 98.44 C) 68.41 D) 15.25 E) 88.67

Solve for the unknown rounded to two decimal places A) 1,875.13 B) 2,388.44 C) 3,960.51 D) 4,137.68 E) 5,408.77

Solve for x and y: x + y = 40 -x + y = -20 A) x = 30; y = 10 B) x = - 10; y = 30 C) x = - 30; y = - 10 D) x = - 60; y = 20 E) x = - 60; y = - 20

Solve for x and y: 2x + 3y = 7 3x - y = 5 A) x = 6; y = 2 B) x = - 2; y = 1 C) x = - 2; y = - 1 D) x = 2; y = 1 E) x = 2; y = - 1

Solve for x: = 2x - 10 A) 6 B) -6 C) -10 D) E) 10

Solve for x: 2x + = x + 10 A) B) C) D) E)

Solve for x and y in the following pair of equations: y = -0.2x + 4.2 X - 0.5y = 10 A) x = 11; y = 2 B) x = 2; y = 11 C) x = 11; y = 6.4 D) x = 6.45; y = 2.9 E) x = 6.4; y = 11

Solve for x: 2/3 ( x + 3) = -1/2 (6 x + 20) + 15 A) B) C) 1.5 D) E) 3.875

Solve for the unknown rounded to two decimal places A) 17.68 B) 24.67 C) -24.22 D) -65.11 E) -85.28

Solve for x: A) 13.9082 B) 13.8996 C) 14.8148 D) 25.0000 E) 225.0000

What is the range of y given the domain x = -3 to x = 5 for the equation -3x + y = 15? A) 0 to 24 B) 6 to 30 C) 24 to 30 D) -6 to -3.3 E) 0 to 30

The retail price of a sweater is $161.00, which includes a markup of 40% of cost. What is the cost price of the sweater? A) $115 B) $70.84 C) $64.40 D) $96.60 E) $100.63

Sam has $20,000 to invest. He invested part at 5% and part at 6%. His investments earned $1,120 total interest for the year. How much did Sam invest at each rate? A) $12,000; $8000 B) $10,000; $10,000 C) $6000; $14,000 D) $14,000; $6000 E) $8000; $12,000

Anders has $35,000 to invest. He invested part at 5.5% and part at 7%. His investments earned $2,195 total interest for the year. How much did Anders invest at each rate? A) $17,000; $18,000 B) $18,000; $17,000 C) $20,000; $15,000 D) $15,000; $20,000 E) $10,000; $25,000

Tickets for the school play were $3 for students and $5 for all others. The box office sold 750 tickets for a total of $3,200. How many student tickets were sold? A) 475 B) 275 C) 500 D) 250 E) 300

The retail price of a packaged CD is $60.00, which includes a markup of 150% of cost. What is the cost price of the CD? A) $40 B) $24 C) $36 D) $20 E) $32

An employee earns $1,562.50 for 55 hours of work during last week. His regular workweek is 40 hours and he gets overtime at time and one-half the regular rate of pay. What is the regular hourly rate of pay? A) $37.50 B) $28.41 C) $42.61 D) $58.59 E) $25.00

It takes 40 minutes to produce product A and 60 minutes to produce product B. Last week 60 hours were used in manufacturing both products. A total of 140 units were produced. Determine the number of product A and B produced. A) Product A = 100; Product B = 40 B) Product A = 40; Product B = 100 C) Product A =80; Product B = 60 D) Product A = 70; Product B = 70

The stock market index decreased this month by one-thirteenth of last month's index. If this month's index is 2,400, what was last month's index? A) 2,585 B) 2,320 C) 2,483 D) 2,600 E) 2,215

The commission on a transaction is 3% of the first $100,000 and 2% of the balance. What was the amount of a transaction where the commission charged was $10,100? A) $225,000 B) $545,000 C) $310,000 D) $355,000 E) $455,000

At a United Way fund raiser, students sold cinnamon buns for $2 each or 3 for $5. They sold 500 all together, and raised $900. How many of the 3 for $5 were sold? A) 100 B) 200 C) 300 D) 250 E) 150

Stavros sells gold and green fabric in his drapery store. He buys the same quantity of both each quarter for $18 per metre for the gold fabric and $20 for the green fabric. His last order totalled $2,290. The supplier has advised Stavros that the gold fabric will increase by 20% and the green fabric by 25%, and his total order for the next quarter will be $2813. How many metres of gold fabric does Stavros order each quarter? A) 65 B) 56 C) 85 D) 55 E) 25

If actual sales of $18,000 were 36% of budgeted sales, what were the budgeted sales? A) $50,000 B) $52,920 C) $25,920 D) $10,080 E) $46,080

A company laid off 80% of its work force. The number of employees after the layoff is 3,000. How many employees were there before the layoff? A) 5,400 B) 7,200 C) 3,600 D) 15,000 E) 3,750

Bart purchased three-quarters of a 32% interest in a Swiss Chalet franchise for $270,000. What is implied value of the franchise? A) $115,200 B) $632,800 C) $980,750 D) $1,125,000 E) $1,625,000

A project manager needs to allocate a staff of 460 employees to a 3-stage project. Stage 2 must have 20% more staff than Stage 1. Stage 3 required 50% more than Stage 2. Determine the number of employees needed for stage 1, 2 and 3 respectively. A) Stage 1 = 115; Stage 2 = 138; Stage 3 = 207 B) Stage 1 = 120; Stage 2 = 120; Stage 3 = 320 C) Stage 1 = 320; Stage 2 = 120; Stage 3 = 120 D) Stage 1 = 207; Stage 2 = 115; Stage 3 = 138 E) Stage 1 = 200; Stage 2 = 100; Stage 3 = 60

A moving company charges an hourly rate plus a per kilometer rate. Sam paid $128.50 for his rental, having traveled 77Km over a 6 hour period. Taylor paid $205 for her rental, having traveled 140 km over a nine hour period. Determine the hourly rate and per Km rate charged by the rental company. A) Hourly rate = $20; Km rate = $.25 B) Hourly rate = $18; Km rate = $.50 C) Hourly rate = $15; Km rate = $.50 D) Hourly rate = $12; Km rate = $.75 E) Hourly rate = $15; Km rate = $.75

Ajax Corporation has $48,000 to spend on advertising and is considering radio, television and newspaper ads. For radio ads, Ajax will spend a quarter of what it will spend on newspaper ads. For television ads, it will also spend 70% of what it will spend on radio ads. How much will the company spend on radio, newspaper and television ads respectively? A) radio = $8,421; newspaper = $33,684; television = $5,985 B) radio = $5,985; newspaper = $33,684; television = $8,421 C) radio = $33,684; newspaper= $5,985; television = $8,421 D) radio = $12,000; newspaper = $24,000; television = $12,000 E) radio = $6,000; newspaper = $30,000; television = $12,000

John and Jill agree to form a partnership. The partnership agreement requires that John invests $7,000.00 less than one-half of what Jill is to invest. If the total investment of both is $125,000.00, how much is Jill's investment? A) $88,000.00 B) $37,000.00 C) $78,666.67 D) $46,333.33 E) $74,393.33

The difference between two numbers is 42. If one-half of the larger number is three more than twice the smaller number, what are the two numbers? A) -12 and -54 B) 12 and 54 C) 16.0 and 58.0 D) 11 and 31 E) -12.5 and 29.5

What was the percent change in unit price when a box of tissues dropped from 200 to 150 tissues per box? (with no change in the price per box)? A) 25% B) 20% C) 30% D) 35% E) 33.3%

What was the percent change in unit price when a box of tissues dropped from 400 to 350 tissues per box? (with no change in the price per box)? A) 12.5% B) 15% C) 17.5% D) 11.7% E) 14.3%

What is the percent change in unit price of a bag of cookies if the number of cookies per box is decreased by 15% (with no change in the price per bag)? A) 17.6% B) 15% C) 20% D) 10% E) 11.1%

A loan company dropped the interest rate it charges on second mortgages from 9.5% to 7.9%. What percent reduction did this represent? A) 16% B) 16.8% C) 1.6% D) 20.3% E) 15.7%

A loan company dropped the interest rate it charges on second mortgages from 8.7% to 7.3%. What percent reduction did this represent? A) 1.4% B) 19.2% C) 16.1% D) 14% E) 15.6%

If the Canadian dollar is worth18% less than the U.S. dollar, by what percentage does the U.S. dollar exceed the value of the Canadian dollar? A) 15% B) 18% C) 24% D) 21.95% E) 20%

A car dealer normally lists cars at 25% above cost. During a sale the manger offered a 10% reduction. If a car sold for $20,812.50, what was the cost price to the dealership? A) $18,500 B) $23,125 C) $18,315 D) $16,650 E) $17,250

If the euro is worth 60% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro? A) 40% B) 37.5% C) 62.5% D) 45% E) 55%

If the euro is worth 57% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro? A) 43% B) 63.7% C) 36.3% D) 42% E) 45%

What number is 25% less than 96? A) 120 B) 128 C) 384 D) 72 E) 125

0.51% of $8500.00 = A) $43,444.44 B) $1663.04 C) $43.35 D) $166,304.35 E) $434.44

$100 is what percent less than $125? A) 125% B) 45% C) 25% D) 20% E) 15%

What sum of money, increased by 7% equals $187.25? A) $200.36 B) $174.14 C) $180.25 D) $175.00 E) $170.00

35% of $180.00 is what amount? A) $63.00 B) $243.00 C) $117.00 D) $514.29 E) $276.92

What number is less than 250? A) 218.75 B) 468.75 C) 133.33 D) 383.33 E) 31.25

How much is 600 increased by 44%? A) 840 B) 644 C) 864 D) 1,367 E) 788

What amount, when reduced by 60% equals $840? A) $336 B) $900 C) $1,680 D) $1,400 E) $2,100

After a 5.25% raise, Johnny earned $19.28 per hour. What was his hourly rate before the raise? A) $18.27 B) $18.32 C) $20.26 D) $18.78 E) $10.11

The population of Enfield has increased by 36% over the last five years. If the current population is 89,244 what was it 5 years ago? A) 65,621 B) 53,244 C) 19,182 D) 57,123 E) 70,377

How much is 50 increased by 300%? A) 350 B) 300 C) 250 D) 200 E) 150

A retailer purchases merchandise at 25% below the suggested retail price. If the retailer pays $375 for an item, what is the suggested retail price? A) $468.75 B) $500.00 C) $525.00 D) $475.00 E) $450.00

The share value of Rip-off Technologies has dropped this year by 85%, to a new low of $7.50 per share. How much money has been lost per share? A) $42.50 B) $63.75 C) $8.82 D) $92.50 E) $15.00

During the last 30 years the price of gasoline has increased by 440%. If the current price per litre is $0.589, what was it 30 years ago? A) $0.201 B) $0.149 C) $0.134 D) $0.109 E) $0.037

After adding to a sum of money, the new amount is $45,000.00. What was the original amount of money? A) $43,987.50 B) $44,009.78 C) $2,000,000.00 D) $46,035.81 E) $20,000.00

Susan is paid a 15% commission of her sales. If she earns a commission of $3800, what was the amount of her sales? A) $44,705.88 B) $25,333.33 C) $4470.59 D) $7030.00 E) $3230.00

An item listed at 40% above cost was sold by a dealer during a special sale at a 15% reduction from the list price. What did the item cost the dealer if it was sold for $23,765.00? A) $23,494.81 B) $33,271.00 C) $19,970.59 D) $27,958.82 E) $43,965.25

After real estate fees of 3% had been deducted from the proceeds of the sale of a property, the real estate agent sent the vendor (seller) of the property $244,400. What was the amount of fees retained by the real estate agent? A) $7,558.76 B) $251,958.76 C) $7,800.00 D) $7,118.45 E) $237,281.55

The retail price of an item is $625.50. This includes a markup of three-quarters of the wholesale cost to the retailer. What is the wholesale cost? A) $1,094.63 B) $469.13 C) $834.00 D) $156.38 E) $357.43

New computer hardware uses 40% less energy than the current model. How much more efficient is the new computer? A) 100% B) 60% C) 40% D) 67% E) 33%

The Vancouver Real Estate Board stated that the average house price was $405,000 this year; an 8% increase over the same time last year. Determine the average house price last year. A) 355,000 B) 365,000 C) 375,000 D) 385,000 E) 395,000

BCIT is considering decreasing its student to teacher ratio by 20%. Currently there are 35 students per instructor. By what amount should instructors be increased? A) 25% B) 20% C) 45% D) 15% E) 10%

A car dealership's list price on cars is 18% above cost. Recently a demo was sold for $21,000, which is 15% off the list price. Determine the cost of the demo vehicle. A) $21,500 B) $20,937 C) $20,500 D) $19,750 E) $17,750

The final value of (d⁷)⁴ is d¹¹.

The final value of is b¹³.

When x is 3, the result of 5x³ + 7x² -30 is 127.

When N = $135 and d = .085, the result of is $124.42.

When x = 6, then the result of is 0.

The final value of is 10.25

The value of c is 4 given the formula 21c - 15 = 18 - 12c.

The final value of x is 134.40 given the formula

The final value of x is 325.25 given the formula

75 is 20% more than 60.

The net amount after a 34% reduction on $180 is $122.50.

Simplify and collect like terms: (-p) + (-3p) + (4p)

Simplify and collect like terms: (5s - 2t) - (2s - 4t)

Simplify and collect like terms: 4x²y + (-3x²y) - (-5x²y)

Simplify and collect like terms: 1 - (7e² - 5 +3e - e³)

Simplify and collect like terms: (6x² - 3xy + 4y²) - (8y² - 10xy - x²)

Simplify and collect like terms: 6a - 3a - 2(2b - a)

Perform the operation indicated and collect like terms: 4a(3ab - 5a + 6b)

Perform the operation indicated and collect like terms: 9k(4 - 8k + 7k²)

Perform the operation indicated and collect like terms: -5xy(2x² - xy - 3y²)

Perform the operation indicated and collect like terms: (3p² - 5p)( -4p + 2)

Perform the operation indicated and collect like terms: 3(a - 2)(4a + 1) - 5(2a + 3)(a - 7)

Perform the operation indicated and collect like terms: 5(2x - y)(y + 3x) - 6x(x - 5y)

Perform operations and gather like terms: 6(4y - 3)(2 - 3y) - 3(5 - y)(1 + 4y)

Multiply and collect like terms: 4(3a + 2b)(2b - a) - 5a(2a - b)

Perform the operation indicated and collect like terms:

Perform the operation indicated and collect like terms:

Perform the operation indicated and collect like terms:

Perform the operation indicated and collect like terms:

Perform the operation indicated and collect like terms:

Perform operations and gather like terms:

Perform operations and gather like terms:

Simplify: a² x a³

Simplify: (x⁶) (x^-4)

Simplify: b¹⁰  b⁶

Simplify: h⁷  h^-4

Simplify: (1 + i)⁴ x (1 + i)⁹

Simplify: (1 + i) x (1 + i)ⁿ

Simplify: (x⁴)⁷

Simplify: (y³)³

Simplify: (n^0.5)⁸⁺

Simplify:

Simplify:

Simplify: [2(1 + i)]²

Simplify:

Simplify and collect like terms:

Simplify and collect like terms:

Simplify and collect like terms:

Simplify and collect like terms:

Perform the operation indicated and collect like terms:

Simplify:

Simplify:

Simplify:

Evaluate to six-figure accuracy: (1.0075)²⁴

Evaluate: 3d² - 4d + 15 for d = 2.5

Evaluate: 15g - 9h + 3 for g = 14, h = 15

Evaluate: 7x(4y - 8) for x = 3.2, y = 1.5

Evaluate: I ¸ Pr for P = $500, I = $13.75, r = 0.11

Evaluate and calculate to the cent:

Evaluate and calculate to the cent: P(1 + rt) for P = $770, r = 0.013,

Evaluate and calculate to the cent:

Evaluate to six-figure accuracy: (1.05)^1/6 - 1

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy: (1 + 0.025)^1/3 - 1

Evaluate and calculate to the cent: P(1 + i)ⁿ for P = $1,280, i = 0.025, n = 3

Evaluate and calculate to the cent:

Evaluate accurate to the cent: L(1-d₁)(1-d₂)(1-d₃) for L = $340, d₁ = 0.15, d₂ = 0.08, d₃ = 0.05

Evaluate accurate to the cent:

Using the formula I = Pr t, solve for P given r=0.30, t=6 and I=$25.50 to the nearest cent.

Using the formula S=P(1+rt), solve for r given S=$2250, P=$1500 and t=1.2 to the nearest hundredth.

Using the formula

Evaluate to six-figure accuracy: 8^4/3

Evaluate to six-figure accuracy: (-27^2/3)

Evaluate to six-figure accuracy: 5^-3/4

Evaluate to six-figure accuracy: (0.001)^-2

Evaluate to six-figure accuracy: 0.893^-1/2

Evaluate to six-figure accuracy: (1.0085)⁵ (1.0085)³

Evaluate to six-figure accuracy: (1.0085)⁵ (1.0085)³

Evaluate to six-figure accuracy: (1 + 0.055)^1/6 - 1

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy:

Evaluate to six-figure accuracy:

Evaluate and calculate to the cent:

Evaluate and calculate to the cent:

Evaluate and calculate to the cent:

Simplify:

Solve:

Solve: y = 192 + 0.04y

Solve: x - 0.025x = 341.25

Solve: 12x - 4(2x - 1) = 6(x + 1) - 3

Solve: 3y - 4 = 3(y + 6) - 2(y + 3)

Solve: 8 - 0.5(x + 3) = 0.25(x - 1)

Solve: 5(2 - c) = 10(2c - 4) - 6(3c + 1)

Solve the following pair of equations. Verify your solution. x - y = 2 3x + 4y = 20

Solve the following pair of equations. Verify your solution. y - 3x = 11 5x + 30 = 4y

Solve the following pair of equations. Verify your solution. 7p - 3q = 23 -2p - 3q = 5

Solve the following pair of equations. Verify your solution. y = 2x 7x - y = 35

Solve for x to five-figure accuracy:

Solve for x to five-figure accuracy:

Solve for x to five-figure accuracy:

Solve for x to five-figure accuracy:

Solve accurate to the cent:

Solve accurate to the cent:

Solve the following pair of equations. Verify your solution. -3c + d = - 550 0.7c + 0.2d = 550

Solve the following pair of equations. Verify your solution. 0.03x + 0.05y = 51 0.8x - 0.7y = 140

Solve the following pair of equations. Verify your solution. 2v + 6w = 1 -9w + 10v = 18

Solve the following pair of equations. Verify your solution. 2.5a + 2b = 11 8a + 3.5b = 13

Solve the following pair of equations. Verify your solution. 37x - 63y = 235 18x + 26y = 468

Solve the following pair of equations. Verify your solution. 68.9n - 38.5m = 57 45.1n - 79.4m = -658

Solve the following pair of equations. Verify your solution. 3x + 5y = 11 2x - y = 16

Solve accurate to the cent:

Solve accurate to the cent:

Solve accurate to the cent:

Graph the following equation: -2x + y = 0 over the range x = -3 to x = 6

Graph following equation: 3x - 4y + 12 = 0 over the range x = -8 to x = 12

Graph following equation: 2x + y = 4 over the range x = -3 to x = 6

Graph the following equation: y = 60x + 6,000 over the range x = 0 to x = 50

Graph the following equation: y = 4.5x + 5,000 over the range x = 0 to x = 6,000

A plumber charges a flat $100 for a home service call plus $20 per 15 minutes of labour. Write an equation for calculating the total charges, C, in terms of the hours of labour, H. If you were to plot a graph of C vs. H, what would be the slope and C-intercept of the line?

In his sales job, Ehud earns a base salary of $1500 per month plus a commission of 5% on sales revenue. Write an equation for calculating his gross earnings, E, for a month in terms of his sales revenue, R. If you were to plot a graph of E vs. R, what would be the slope and E-intercept of the line?

The formula for converting from Celsius temperatures, C, to Fahrenheit temperatures, F, is F = C. Use the value of the slope to determine the increase in Fahrenheit temperature corresponding to a 10 Celsius-degree rise. c) Rearrange the given formula to obtain a formula for converting from Fahrenheit temperatures to Celsius temperatures. What would be the slope and C-intercept if C vs. F were plotted on a graph? a) Slope = 9/5; intercept = 32; b) 18F; c) slope = 5/9; intercept = -17

Use the graphical method to solve the following pair of equations. x + y = 2 x = 5

Use the graphical method to solve the following pair of equations. x - 3y = 3 y = -2

Use the graphical method to solve the following pair of equations. x + y = 4 2x - y = 8

Use the graphical method to solve the following pair of equations. y - 3x = 11 5x + 30 = 4y

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

The retail price of a pair of skis consists of the wholesale cost to the retailer plus the retailer's markup. If skis retailing for $712 are marked up by 60% of the wholesale cost, what is that wholesale cost?

The price tags in Annie's Flower Shop include the 13% Harmonized Sales Tax (HST). How much HST will she report for a plant sold at $39.95?

A stockbroker's commission on a transaction is 2.5% of the first $5,000 of the transaction amount and 1.5% of the remainder. What was the amount of a transaction that generated a total commission of $227?

A caterer has the following price structure for banquets. The first 20 meals are charged the basic price per meal. The next 20 meals are discounted by $2 each and all additional meals are each reduced by $3. If the total cost for 73 meals comes to $1686, what is the basic price per meal?

The annual dues for the Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?

Product X requires 30 minutes of machining on a lathe, and product Y requires 45 minutes of machining. If the lathe was operated for 60.5 hours last week for machining a combined total of 93 units of Products X and Y, how many units of each product were produced?

Mr. Parker structured his will so that each of his four children will receive half as much from the proceeds of his estate as his wife, and each of 13 grandchildren will receive one-third as much as each child. After his death, $759,000 remains after expenses and taxes for distribution among his heirs. How much will each child and grandchild receive?

Econo Car offers two plans for one-week rentals of a compact car. A rate of $295 per week includes the first 1,000 kilometres. Extra distance costs 15 cents per kilometre. A weekly rate of $389 allows unlimited driving. Rounded to the nearest kilometre, beyond what driving distance is the unlimited driving plan cheaper?

Alicia pays 38% income tax on any additional earnings. She has an opportunity to work overtime at 1.5 times her base wage of $23.50 per hour. Rounded to the nearest quarter hour, how much overtime must she work to earn enough money (after tax) to buy a canoe that costs $2750 including sales taxes?

A firm received a bill from its accountant for $3,310, representing a combined total of 41 "billable" hours for both the Certified General Accountant (CGA) and her accounting technician, for conducting the firm's audit. If the CGA charges her time at $120 per hour and the technician's time at $50 per hour, how many hours did each work on the audit?

The annual net income of the SGR partnership is to be distributed so that Sven receives 30% less than George, and Robert receives 25% more than George. If the past year's net income was $88,880, what amount should be allocated to each?

It takes 20 minutes of machine time to manufacture Product X and 30 minutes of machine time to manufacture Product Y. If the machine operated 47 hours last week to produce a combined total of 120 units of the two products, how many units of Y were manufactured?

The tickets for a hockey game cost $19.00 for the blue LO and $25.50 for the red LO. If 4,460 tickets were sold for a total of $93,450, how many seats were sold in each LO?

Regal Resources owns a 58% interest in a mineral claim. Yukon Explorations owns the remainder. If Regal sells one-fifth of its interest for $1.2 million, what is the implied value of Yukon's interest?

The statistics for a professional accounting program indicate that five-sevenths of those who enter the program complete Level 1. Two-ninths of Level 1 completers do not finish Level 2. If 587 students completed Level 2 last year, how many (including this group of 587) began Level 1?

The profits from a partnership are to be distributed so that Grace receives 20% more than Kajsa, and Mary Anne receives five-eighths as much as Grace. How much should each receive from a total distribution of $36,000?

A hockey arena has 2500 seats in the preferred red LOs near centre ice and 4500 seats in the less desirable blue LOs. At regular season prices, a sell-out would generate ticket revenue of $50,250 for a single game. Ticket prices are raised by 20% in the "blues" and 30% in the "reds" for the playoffs. Ticket revenue from a playoff sell-out would be $62,400. What are the ticket prices for the playoffs?

Rory invested a total of $7,800 in shares of ABC Ltd. and XYZ Inc. One year later the investment was worth $9,310, after the shares of ABC had increased in value by 15% and the shares of XYZ were up 25%. How much did Rory invest in each company?

Fred has centralized the purchasing and recordkeeping functions for his three pharmacies in a single office. The annual costs of the office are allocated to the three stores. The Hillside store is charged $1,000 less than twice the charge to the Barnett store. The Westside store is charged $2,000 more than the Hillside store. What is the charge to the Westside store if the cost of operating the central office for a year is $27,600?

Classic Homes has found from experience that there should be 40% as many two-bedroom homes as three-bedroom homes in a subdivision, and twice as many two-bedroom homes as four-bedroom homes. How many homes of each type should Classic build in a new 96-home subdivision?

Broadway Mazda usually spends half as much on radio advertising as on newspaper advertising, and 60% as much on television advertising as on radio advertising. If next year's total advertising budget is $160,000, how much (rounded to the nearest dollar) should be allocated to each form of advertising?

A city's commercial construction by-laws require five parking spaces for every 100 square metres of retail rental space in a shopping centre. Four percent of the parking spaces must be large spaces for the physically handicapped. Of the remainder, there must be 40% more regular-size spaces than "small-car" spaces. How many parking spaces of each type are required for a 27,500 square metre shopping centre?

Erin has invested in both an equity mutual fund and a bond mutual fund. Her financial advisor told her that her overall portfolio rose in value by 1.1% last year. Erin noted in the newspaper that the equity fund lost 3.3% last year while the bond fund rose 7.7%. To the nearest 0.1%, what percentage of her portfolio was in the equity fund at the beginning of the year?

Steel is an alloy of iron and nickel. A steel recycling company has two piles of scrap steel. Pile A contains steel with 5.25% nickel content. Pile B contains steel with 2.84% nickel. The company has an order for 32.5 tonnes of steel containing 4.15% nickel. How much scrap steel should be taken from each pile for reprocessing?

Quality Grocer makes its own bulk "trail mix" by mixing raisins and peanuts. The wholesale cost of raisins is $3.75 per kg and the cost of peanuts is $2.89 per kg. To the nearest 0.1 kg, what amounts of peanuts and raisins should be mixed to produce 50 kg of trail mix with an effective wholesale cost of $3.20 per kg?

Mr. and Mrs. Chudnowski paid $1,050 to fly with their three children from Winnipeg to Regina. Mrs. Ramsey paid $610 for herself and two children on the same flight. What were the airfares per adult and per child?

Calculate the missing value: Initial Value = $95; Final Value = $100; Percent Change =?

Calculate the missing value: Initial Value = 135kg; Final Value = 35kg; Percent Change =?

Calculate the missing value: Initial Value = 0.11; Final Value = 0.13; Percent Change =?

Calculate the missing value: Initial Value = 0.095; Final Value = 0.085; Percent Change =?

Calculate the missing value: Initial Value = $134.39; Final Value =?; Percent Change = -12%

Calculate the missing value: Initial Value = 112g; Final Value =?; Percent Change = 112%

Calculate the missing value: Initial Value =?; Final Value = $75; Percent Change = 200%

Calculate the missing value: Initial Value =?; Final Value = $75; Percent Change = -50%

$100 is what percent more than $90?

$100 is what percent less than $110?

What amount is 17.5% more than $29.43?

What amount reduced by 80% leaves $100?

What amount reduced by 15% equals $100?

What is $47.50 increased by 320%?

What amount when increased by 25% equals $100?

$75 is 75% more than what amount?

How much is $75 after an increase of 75%?

What amount when decreased by 62% equals $213.56?

What amount when increased by 125% equals $787.50?

What amount is 30% less than $300?

$100 is 10% less than what amount?

What amount after a reduction of 20% equals $100?

How much is $900 after a decrease of 90%?

How much is $10,000 increased by ¾%?

What amount after being increased by 210% equals $465?

The total cost of a coat, including HST of 13% on the retail price, was $281.37. What is the retail price of the coat?

The number of hammers sold?

The average selling price?

The revenue from the sale of hammers?

In the first year

In the second year

Over both years

Mountain Sports is advertising "30% Off All Skiing Equipment" in its Spring Clearance Sale. On ski boots marked down to $348.60, what is the regular price?

The price of the shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars and cents, how much did the price of each share drop in the past year?

Barry recently sold some stock after holding it for 2 years. The stock rose 150% in price during the first year but fell 40% in the second year. At what price did he buy the stock if he sold it for $24 per share?

After Island Farms increased the container size for its premium ice cream from 1.65 L to 2.2 L, the retail price increased from $5.49 to $7.98. What was the percent change in the unit price?

Mutual Fund A charges an annual management fee of 2.38% of money under management. The corresponding management fee for Mutual Fund B is 1.65%. On the same invested amount, what percentage more fees will you pay to Fund A than to Fund B?