Question 1

Find three consecutive even numbers whose sum is 48.
A)7, 9, 11
B)14, 16, 18
C)-14, -12, -10
D)16, 18, 20
E)10, 13, 16

Accepted Answer

The sum of three consecutive even numbers can be represented as n + (n + 2) + (n + 4) = 48. Solving this equation gives n = 14, so the numbers are 14, 16, and 18.

Question 2

After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.80 to $1.92. What percent of increase is this? __________ %

Accepted Answer

The answer of After flooding damaged much of the crop,...

Question 3

Solve the formula $c = \frac { 1 } { 2 } ( B + t ) x$ for the variable $x$ .
A) $x = \frac { B + t } { 2 c }$
B) $x = \frac { c } { 2 ( B + t ) }$
C) $x = \frac { 2 ( B + t ) } { c }$
D) $x = \frac { 2 c } { B + t }$
E) $\chi = \frac { c } { 2 B + 2 t }$

Accepted Answer

To solve for $x$, you need to isolate $x$ on one side of the equation. Starting with $c = \frac { 1 } { 2 } ( B + t ) x$, you can multiply both sides by 2 to get rid of the fraction, resulting in $2c = (B + t)x$. Then, divide both sides by $(B + t)$ to isolate $x$, which gives $x = \frac { 2 c } { B + t }$.

Question 4

Complete the table by finding the simple interest earned. Principal Rate Time Interest earned $ 13000 8 % 3 yrs. ?
A)$31200
B)$312000
C)$3120
D)$31.2
E)$312

Accepted Answer

Simple interest formula: I = PRT

Given: 
Principal = $13000 
Rate = 8% 
Time = 3 years

Substitute the values into the formula: 
I = ($13000)(0.08)(3) 
I = $3120

Therefore, the simple interest earned is $3120. Answer choice C is the best option.

Question 5

Solve the formula $V = 6 ( r - 1 ) b$ for the variable $r$ .
A) $r = \frac { 6 \mathrm {~V} } { b } - 1$
B) $r = \frac { V + 1 } { 6 b }$
C) $= \frac { V } { 6 b } - 1$
D) $r = \frac { 6 \mathrm {~V} } { b } + 1$
E) $r = \frac { V } { 6 b } + 1$

Accepted Answer

The answer of Solve the formula \(V = 6 (...

Question 6

In an isosceles triangle, two sides are four times the length of the third side. Find the length of the SHORTEST side if the perimeter is 54 feet.
A)9 feet
B)8 feet
C)6 feet
D)5 feet

Accepted Answer

Let x be the length of the shortest side. Then the other two sides are 4x. Since the triangle is isosceles, we have:

x + 4x + 4x = 54

9x = 54

x = 6

Therefore, the length of the shortest side is 6 feet.

Question 7

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 33.
A)-10, -11, -12
B)10, 9, 8
C)12, 13, 14
D)15, 16, 17
E)10, 11, 12

Accepted Answer

Let the three consecutive integers be x, x+1, and x+2. Their sum is x + (x+1) + (x+2) = 3x + 3 = 33. Solving for x gives x = 10, so the integers are 10, 11, and 12.

Question 8

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 3 in.  __________ in $2$

Accepted Answer

The answer of Find the area of the circle to...

Question 9

Find the perimeter of the figure if $$a = 12 \mathrm { in } .$$ 
A)144 in.
B)12 in.
C)24 in.
D)48 in.
E)288 in.

Accepted Answer

The answer of Find the perimeter of the figure if...

Question 10

A 18-inch board has been cut into 2 sections, one 8 inches longer than the other. How long is the shorter piece.
A)5 inches
B)4 inches
C)7 inches
D)6 inches

Accepted Answer

The answer of A 18-inch board has been cut into...

Question 11

If one of two supplementary angles is $38 ^ { \circ }$ larger than the other, find the measure of the smaller angle.
A) $65.5 ^ { \circ }$
B) $74 ^ { \circ }$
C) $79.5 ^ { \circ }$
D) $71 ^ { \circ }$
E) $68 ^ { \circ }$

Accepted Answer

The answer of If one of two supplementary angles is...

Question 12

A jewelry store buys pairs of earrings for $114 each and marks them up $17. What is the retail price of a pair of earrings? $__________

Accepted Answer

The answer of A jewelry store buys pairs of earrings...

Question 13

A cattle rancher is going to sell one of his prize bulls at an auction and would like to make $46500 after paying a 7% commission to the auctioneer. For what selling price will the rancher make this amount of money?
A)$49,755
B)$50,000
C)$50,555
D)$55,000

Accepted Answer

The answer of A cattle rancher is going to sell...

Question 14

Complete the financial statement shown in the table. Quarterly Financials Income statement (dollar amounts in millions)Quarter ending Mar 00 Quarter ending Dec 99 Revenue $1,323.80 $1,513.20 Cost of goods sold $460.20 $780.70 Gross profit ? ?
A)Gross profit $863.60 $732.50
B)Gross profit $1,784.00 $2,293.90
C)Gross profit $873.80 $722.30

Accepted Answer

To calculate the gross profit, we need to subtract the cost of goods sold from revenue.

For the quarter ending Mar 00: 
Gross profit = Revenue - Cost of goods sold 
Gross profit = $1,323.80 - $460.20 
Gross profit = $863.60

For the quarter ending Dec 99: 
Gross profit = Revenue - Cost of goods sold 
Gross profit = $1,513.20 - $780.70 
Gross profit = $732.50

Therefore, the best choice is A, which shows the correct gross profits for both quarters.

Question 15

The host of a TV infomercial says that the suggested retail price of a rotisserie grill is $40.00 and that it is now offered "for just 4 easy payments of only $6.30." What is the discount rate? __________ %

Accepted Answer

The answer of The host of a TV infomercial says...

Question 16

A person has a temperature of $102 ^ { \circ } \mathrm { F }$ . What is the person's temperature, to the nearest tenth, on the Celsius scale?
A) $37.9 ^ { \circ } \mathrm { C }$
B) $36.9 ^ { \circ } \mathrm { C }$
C) $37.4 ^ { \circ } \mathrm { C }$
D) $38.4 ^ { \circ } \mathrm { C }$
E) $38.9 ^ { \circ } \mathrm { C }$

Accepted Answer

The answer of A person has a temperature of \(102...

Question 17

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot.  a = 455, b = 755 __________ ft $3$

Accepted Answer

The answer of The Great Pyramid at Giza in northern...

Question 18

Find the largest of three consecutive whole numbers such that twice the sum of the two smallest numbers is 12 more than three times the largest number.
A)20
B)16
C)17
D)19
E)18

Accepted Answer

Let the three consecutive whole numbers be $x$, $x+1$, and $x+2$. According to the problem, twice the sum of the two smallest numbers is 12 more than three times the largest number. This can be written as:$$2(x + (x+1)) = 3(x+2) + 12$$Simplifying the equation:$$2(2x + 1) = 3x + 6 + 12$$$$4x + 2 = 3x + 18$$$$x = 16$$Therefore, the largest number is $x+2 = 18$.

Question 19

Convert $50 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.
A) $117 ^ { \circ } \mathrm { F }$
B) $122 ^ { \circ } \mathrm { F }$
C) $113 ^ { \circ } \mathrm { F }$
D) $482 ^ { \circ } \mathrm { F }$
E) $90 ^ { \circ } \mathrm { F }$

Accepted Answer

To convert Celsius to Fahrenheit, use the equation $F = \frac{9}{5}C + 32$. Plugging in $C = 50$, we get $F = \frac{9}{5}(50) + 32 = 122$. Therefore, the answer is choice $\boxed{	extbf{(B)}\ 122 ^\circ \mathrm{F}}$.

Question 20

Solve the formula $H = P T$ for the variable $T$ .
A) $T = \frac { P } { H }$
B) $T = H P$
C) $T = \frac { H } { P }$
D) $\frac { 1 } { T } = \frac { H } { P }$
E) $T = \frac { 1 } { H P }$

Accepted Answer

To solve for the variable T, we need to isolate T on one side of the equation. We can do this by dividing both sides by P: 
$$\frac{H}{P}=\frac{P T}{P}$$
This simplifies to:
$$\frac{H}{P}=T$$
Therefore, the correct choice is C: $T = \frac{H}{P}$.

Quiz 2: Equations, Inequalities, and Problem Solving

Find three consecutive even numbers whose sum is 48.

After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.80 to $1.92. What percent of increase is this? __________ %

Solve the formula $c = \frac { 1 } { 2 } ( B + t ) x$ for the variable $x$ .

Complete the table by finding the simple interest earned. Principal Rate Time Interest earned $ 13000 8 % 3 yrs. ?

Solve the formula $V = 6 ( r - 1 ) b$ for the variable $r$ .

In an isosceles triangle, two sides are four times the length of the third side. Find the length of the SHORTEST side if the perimeter is 54 feet.

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 33.

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 3 in. $Find the area of the circle to the nearest tenth, if \pi = 3.14 and a = 3 in. in 2$ in $2$

Find the perimeter of the figure if $a = 12 \mathrm { in } .$ $Find the perimeter of the figure if a = 12 \mathrm { in } . A) 144 in. B) 12 in. C) 24 in. D) 48 in. E) 288 in.$

A 18-inch board has been cut into 2 sections, one 8 inches longer than the other. How long is the shorter piece.

If one of two supplementary angles is $38 ^ { \circ }$ larger than the other, find the measure of the smaller angle.

A jewelry store buys pairs of earrings for $114 each and marks them up $17. What is the retail price of a pair of earrings? $__________

A cattle rancher is going to sell one of his prize bulls at an auction and would like to make $46500 after paying a 7% commission to the auctioneer. For what selling price will the rancher make this amount of money?

Complete the financial statement shown in the table. Quarterly Financials Income statement (dollar amounts in millions) Quarter ending Mar 00 Quarter ending Dec 99 Revenue $1,323.80 $1,513.20 Cost of goods sold $460.20 $780.70 Gross profit ? ?

The host of a TV infomercial says that the suggested retail price of a rotisserie grill is $40.00 and that it is now offered "for just 4 easy payments of only $6.30." What is the discount rate? __________ %

A person has a temperature of $102 ^ { \circ } \mathrm { F }$ . What is the person's temperature, to the nearest tenth, on the Celsius scale?

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot. a = 455, b = 755 __________ ft $3$

Find the largest of three consecutive whole numbers such that twice the sum of the two smallest numbers is 12 more than three times the largest number.

Convert $50 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Solve the formula $H = P T$ for the variable $T$ .

Quiz 2: Equations, Inequalities, and Problem Solving

Find three consecutive even numbers whose sum is 48.

After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.80 to $1.92. What percent of increase is this? __________ %

Solve the formula c=12(B+t) xc = \frac { 1 } { 2 } ( B + t ) xc=21​(B+t) x for the variable xxx .

Complete the table by finding the simple interest earned. Principal Rate Time Interest earned $ 13000 8 % 3 yrs. ?

Solve the formula V=6(r−1) bV = 6 ( r - 1 ) bV=6(r−1) b for the variable rrr .

In an isosceles triangle, two sides are four times the length of the third side. Find the length of the SHORTEST side if the perimeter is 54 feet.

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 33.

Find the area of the circle to the nearest tenth, if π=3.14\pi = 3.14π=3.14 and a = 3 in. __________ in 222

Find the perimeter of the figure if a=12in.a = 12 \mathrm { in } .a=12in.

A 18-inch board has been cut into 2 sections, one 8 inches longer than the other. How long is the shorter piece.

If one of two supplementary angles is 38∘38 ^ { \circ }38∘ larger than the other, find the measure of the smaller angle.

A jewelry store buys pairs of earrings for $114 each and marks them up $17. What is the retail price of a pair of earrings? $__________

A cattle rancher is going to sell one of his prize bulls at an auction and would like to make $46500 after paying a 7% commission to the auctioneer. For what selling price will the rancher make this amount of money?

Complete the financial statement shown in the table. Quarterly Financials Income statement (dollar amounts in millions) Quarter ending Mar 00 Quarter ending Dec 99 Revenue $1,323.80 $1,513.20 Cost of goods sold $460.20 $780.70 Gross profit ? ?

The host of a TV infomercial says that the suggested retail price of a rotisserie grill is $40.00 and that it is now offered "for just 4 easy payments of only $6.30." What is the discount rate? __________ %

A person has a temperature of 102∘F102 ^ { \circ } \mathrm { F }102∘F . What is the person's temperature, to the nearest tenth, on the Celsius scale?

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot. a = 455, b = 755 __________ ft 333

Find the largest of three consecutive whole numbers such that twice the sum of the two smallest numbers is 12 more than three times the largest number.

Convert 50∘C50 ^ { \circ } \mathrm { C }50∘C to degrees Fahrenheit.

Solve the formula H=PTH = P TH=PT for the variable TTT .

Solve the formula $c = \frac { 1 } { 2 } ( B + t ) x$ for the variable $x$ .

Solve the formula $V = 6 ( r - 1 ) b$ for the variable $r$ .

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 3 in. $Find the area of the circle to the nearest tenth, if \pi = 3.14 and a = 3 in. in 2$ in $2$

Find the perimeter of the figure if $a = 12 \mathrm { in } .$ $Find the perimeter of the figure if a = 12 \mathrm { in } . A) 144 in. B) 12 in. C) 24 in. D) 48 in. E) 288 in.$

If one of two supplementary angles is $38 ^ { \circ }$ larger than the other, find the measure of the smaller angle.

A person has a temperature of $102 ^ { \circ } \mathrm { F }$ . What is the person's temperature, to the nearest tenth, on the Celsius scale?

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot. a = 455, b = 755 __________ ft $3$

Convert $50 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Solve the formula $H = P T$ for the variable $T$ .