Question 1

Solve the problem.
-A baseball team played 156 complete games last season. They had 54 fewer wins than losses. How many games did the team win?

Accepted Answer

The team played 156 games in total. Let's denote the number of wins as W and the number of losses as L. We know that W + L = 156 and L = W + 54. Solving these equations simultaneously, we get W = 51 and L = 105. Therefore, the team won 51 games.

Question 2

Solve the problem.
-Brand X copier advertises that its copiers run 22% longer between service calls than its competitor. If Brand X copiers run 39,000 copies between service calls, how many copies would the competitor run (to the nearest Copy)?

Accepted Answer

The answer of Solve the problem.
-Brand X copier advertises that...

Question 3

Solve the problem.
-CopyMart charges $23 plus 47¢ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $86.92 $\text { (Hint: } 47 \$ = \$ 0.47 )$

Accepted Answer

First, subtract the fixed cost of $23 from the total budget of $86.92, leaving $63.92 for copies. Then, divide $63.92 by $0.47 per copy to find the number of brochures: $63.92 / $0.47 = 136 brochures.

Question 4

Solve the problem.
-On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 2%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1479? Round to the Nearest dollar if necessary.

Accepted Answer

The answer of Solve the problem.
-On Monday, an investor bought...

Question 5

Solve the problem.
-On a road trip from Chicago to New Orleans, Joe stopped in Memphis which is 540 miles from Chicago. If Memphis is 0.6 of the trip to New Orleans, how far is it from Chicago to New Orleans?

Accepted Answer

Since Memphis is 0.6 of the trip to New Orleans, the total distance from Chicago to New Orleans is 540 miles / 0.6 = 900 miles.

Question 6

Solve.
-Elaine was cooking dinner for some friends. She went out to do the shopping and spent $120. She spent twice as much on food as on drinks. How much did she spend on each?

Accepted Answer

The answer of Solve.
-Elaine was cooking dinner for some friends....

Question 7

Solve.
-A city government budgeted $36.7 million for public transportation. This was $13.3 million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Accepted Answer

The amount budgeted for parks and recreation is found by subtracting the additional amount for public transportation from the total budgeted for it: $36.7 million - $13.3 million = $23.4 million.

Question 8

Solve the problem.
-A high school graduating class is made up of 547 students. There are 111 more girls than boys. How many boys are in the class?

Accepted Answer

Let the number of boys be x. Then the number of girls is x + 111. The total number of students is 547, so x + (x + 111) = 547. Solving for x gives 2x + 111 = 547, so 2x = 436, and x = 218. Therefore, there are 218 boys in the class.

Question 9

Solve.
-The area of Mark's backyard is about 3 times the area of Jon's backyard. The area of Mark's backyard is 2010 $\mathrm { ft } ^ { 2 }$ What is the area of Jon's backyard?

Accepted Answer

To find the area of Jon's backyard, divide the area of Mark's backyard by 3: $2010 \, \mathrm{ft}^2 / 3 = 670 \, \mathrm{ft}^2$.

Question 10

Solve.
-You are traveling to your aunt's house that is 282 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Accepted Answer

You have traveled 188 miles. If you are twice as far from home as from your aunt's, the distance from your aunt's is 1/3 of the total distance (282 miles). So, 282 miles / 3 = 94 miles from your aunt's, meaning you've traveled 282 - 94 = 188 miles.

Question 11

Solve.
-Greg sold his used motorcycle and accessories for $790. If he received nine times as much money for the motorcycle as he did for the accessories, how much did he receive for the motorcycle?

Accepted Answer

Let the amount received for the accessories be x dollars. Therefore, the amount received for the motorcycle is 9x dollars. According to the problem, x + 9x = 790, which simplifies to 10x = 790. Solving for x gives x = 79 dollars for the accessories. Thus, for the motorcycle, Greg received 9x = 9 * 79 = 711 dollars.

Question 12

Solve the problem.
-Recently, the cost of 12 6-oz jars of baby food was $8.16. What was the cost of one jar?

Accepted Answer

To find the cost of one jar, divide the total cost by the number of jars: $8.16 / 12 = $0.68.

Question 13

Solve the problem.
-At the end of the day, a storekeeper had $1456 in the cash register, counting both the sale of goods and the sales tax of 4%. Find the amount that is the tax. Round to the nearest dollar if necessary.

Accepted Answer

To find the sales tax, divide the total amount by 1.04 to find the pre-tax amount, then subtract this from the total. $1456 / 1.04 = $1400 (pre-tax amount). The tax is $1456 - $1400 = $56.

Question 14

Solve.
-A car rental business rents a compact car at a daily rate of $\$ 30.20$ plus $20 \$$ per mile. Mike can afford to spend 557 on the car rental for one day. How many miles can he drive and stay within his budget? (Hint: 20c = $\$ 0.20$ )

Accepted Answer

The answer of Solve.
-A car rental business rents a compact...

Question 15

Solve the problem.
-Stevie bought a stereo for $225 and put it on sale at his store at a 55% markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Accepted Answer

The retail price is calculated by adding the markup to the original price. A 55% markup on $225 is $225 * 0.55 = $123.75. Adding this to the original price gives $225 + $123.75 = $348.75.

Question 16

Solve.
-The height of the tallest building in Anne's home town is 699 feet, which is about 378 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Accepted Answer

To find the height of the tallest building in Laurie's home town, subtract 378 feet from the height of the tallest building in Anne's home town: 699 feet - 378 feet = 321 feet.

Question 17

Solve the problem.
-Every basketball season Phill competes in a free throw contest. This year Phill was successful at 0.5 of his free throws. If he succeeded at 18 free throws, how many free throws did he attempt?

Accepted Answer

Phill's success rate was 0.5 (or 50%), so if he made 18 successful free throws, he must have attempted twice that number, which is 36.

Question 18

Solve the problem.
-If Gloria received a 7 percent raise and is now making $23,540 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Accepted Answer

The answer of Solve the problem.
-If Gloria received a 7...

Question 19

Solve the problem.
-A pie-shaped (triangular)lake-front lot has a perimeter of 2200 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

The perimeter of a triangle is the sum of the lengths of its three sides. Let x be the length of the shortest side. Then the other two sides are x + 200 and x + 500. The perimeter is 2200 feet, so we have the equation:x + (x + 200) + (x + 500) = 2200Simplifying the equation, we get:3x + 700 = 2200Subtracting 700 from both sides, we get:3x = 1500Dividing both sides by 3, we get:x = 500Therefore, the lengths of the three sides are 500 feet, 700 feet, and 1000 feet.

Question 20

Solve.
-A 209-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times as long as the second. How long is each piece of rope?

Accepted Answer

Let the length of the first piece be x. The second piece is 2x, and the third piece is 4(2x) = 8x. The total length is x + 2x + 8x = 11x = 209 feet. Solving for x gives x = 19 feet. Therefore, the lengths are 19 ft, 38 ft (2x), and 152 ft (8x).

Quiz 2: Solving Equations and Inequalities

Solve the problem. -A baseball team played 156 complete games last season. They had 54 fewer wins than losses. How many games did the team win?

Solve the problem. -Brand X copier advertises that its copiers run 22% longer between service calls than its competitor. If Brand X copiers run 39,000 copies between service calls, how many copies would the competitor run (to the nearest Copy) ?

Solve the problem. -CopyMart charges $23 plus 47¢ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $86.92 $\text { (Hint: } 47 \$ = \$ 0.47 )$

Solve the problem. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 2%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1479? Round to the Nearest dollar if necessary.

Solve the problem. -On a road trip from Chicago to New Orleans, Joe stopped in Memphis which is 540 miles from Chicago. If Memphis is 0.6 of the trip to New Orleans, how far is it from Chicago to New Orleans?

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $120. She spent twice as much on food as on drinks. How much did she spend on each?

Solve. -A city government budgeted $36.7 million for public transportation. This was $13.3 million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Solve the problem. -A high school graduating class is made up of 547 students. There are 111 more girls than boys. How many boys are in the class?

Solve. -The area of Mark's backyard is about 3 times the area of Jon's backyard. The area of Mark's backyard is 2010 $\mathrm { ft } ^ { 2 }$ What is the area of Jon's backyard?

Solve. -You are traveling to your aunt's house that is 282 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Solve. -Greg sold his used motorcycle and accessories for $790. If he received nine times as much money for the motorcycle as he did for the accessories, how much did he receive for the motorcycle?

Solve the problem. -Recently, the cost of 12 6-oz jars of baby food was $8.16. What was the cost of one jar?

Solve the problem. -At the end of the day, a storekeeper had $1456 in the cash register, counting both the sale of goods and the sales tax of 4%. Find the amount that is the tax. Round to the nearest dollar if necessary.

Solve. -A car rental business rents a compact car at a daily rate of $\$ 30.20$ plus $20 \$$ per mile. Mike can afford to spend 557 on the car rental for one day. How many miles can he drive and stay within his budget? (Hint: 20c = $\$ 0.20$ )

Solve the problem. -Stevie bought a stereo for $225 and put it on sale at his store at a 55% markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Solve. -The height of the tallest building in Anne's home town is 699 feet, which is about 378 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Solve the problem. -Every basketball season Phill competes in a free throw contest. This year Phill was successful at 0.5 of his free throws. If he succeeded at 18 free throws, how many free throws did he attempt?

Solve the problem. -If Gloria received a 7 percent raise and is now making $23,540 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve the problem. -A pie-shaped (triangular) lake-front lot has a perimeter of 2200 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Solve. -A 209-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times as long as the second. How long is each piece of rope?