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Questions and Answers
A factory makes 3,132 chairs each month. What is the total amount of chairs the factory makes in 9 months?
A factory makes 3,132 chairs each month. What is the total amount of chairs the factory makes in 9 months?
28,188 chairs
Mr. Diaz bought a board that was 12 feet long. He cut the entire board into pieces that were 1/3 foot long. How many pieces did he have?
Mr. Diaz bought a board that was 12 feet long. He cut the entire board into pieces that were 1/3 foot long. How many pieces did he have?
36 pieces
Heather drove at a constant rate. She traveled 162 miles in 3 hours. How far did Heather travel in 1 hour?
Heather drove at a constant rate. She traveled 162 miles in 3 hours. How far did Heather travel in 1 hour?
54 miles in 1 hour
Carmine drove at a constant rate. He traveled 325 miles in 5 hours. How far did Carmine travel in 1 hour?
Carmine drove at a constant rate. He traveled 325 miles in 5 hours. How far did Carmine travel in 1 hour?
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Kevin drove at a constant rate. He traveled 252 miles in 4 hours. How far did Kevin travel in 1 hour?
Kevin drove at a constant rate. He traveled 252 miles in 4 hours. How far did Kevin travel in 1 hour?
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A class of 25 students shares a class set of 100 markers. On a day with 5 students absent, how many markers can each present student get?
A class of 25 students shares a class set of 100 markers. On a day with 5 students absent, how many markers can each present student get?
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The area of a rectangular patio is 5 5/8 square yards. The length is 1 1/2 yards. What is the width of the patio?
The area of a rectangular patio is 5 5/8 square yards. The length is 1 1/2 yards. What is the width of the patio?
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What is 33.8 divided by 32.5?
What is 33.8 divided by 32.5?
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What is 34,992 divided by 81?
What is 34,992 divided by 81?
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What is the greatest common factor of 16 and 48?
What is the greatest common factor of 16 and 48?
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What is the sum of 74.835 and 2.67?
What is the sum of 74.835 and 2.67?
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Marshall took $36.75 to a fair. Each ticket into the fair cost x dollars. Marshall bought 3 tickets. Which expression represents the amount of money that Marshall had left after he bought the fair tickets?
Marshall took $36.75 to a fair. Each ticket into the fair cost x dollars. Marshall bought 3 tickets. Which expression represents the amount of money that Marshall had left after he bought the fair tickets?
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Jon buys a rug with an area of 35/4 sq.m. The length is 7/2 m. What is the width?
Jon buys a rug with an area of 35/4 sq.m. The length is 7/2 m. What is the width?
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Thomas buys a 36-pack case of water. The case cost $4.69. Thomas will resell the bottles for $0.75 each. How much will he make if he sells out?
Thomas buys a 36-pack case of water. The case cost $4.69. Thomas will resell the bottles for $0.75 each. How much will he make if he sells out?
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Which expression represents '6 more than x'?
Which expression represents '6 more than x'?
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What is the value of (A x A) + 3b / c - 2d, when a=3, b=8, c=2, and d=5?
What is the value of (A x A) + 3b / c - 2d, when a=3, b=8, c=2, and d=5?
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Chad drove 168 miles in 3 hours. How many miles per hour did Chad drive?
Chad drove 168 miles in 3 hours. How many miles per hour did Chad drive?
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Chad drove 56 miles in 1 hour. How many hours will it take to drive 672 miles?
Chad drove 56 miles in 1 hour. How many hours will it take to drive 672 miles?
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Chad drives 28 miles per gallon. How many gallons of gas does he need to drive 308 miles?
Chad drives 28 miles per gallon. How many gallons of gas does he need to drive 308 miles?
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Chad drives 28 miles per gallon. How many gallons of gas will Chad use to travel 672 miles?
Chad drives 28 miles per gallon. How many gallons of gas will Chad use to travel 672 miles?
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What is 3 + n?
What is 3 + n?
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What is 20% of 30?
What is 20% of 30?
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What is 9 + 24 / 2 - 10?
What is 9 + 24 / 2 - 10?
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Sharon bought 8 towels and paid $39.50. How much does she pay for each towel?
Sharon bought 8 towels and paid $39.50. How much does she pay for each towel?
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A group of hikers bought 8 bags of mixed nuts. Each bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among 12 hikers. How many cups of mixed nuts will each hiker receive?
A group of hikers bought 8 bags of mixed nuts. Each bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among 12 hikers. How many cups of mixed nuts will each hiker receive?
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What is 40% of 36?
What is 40% of 36?
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What percent is 24 of 60?
What percent is 24 of 60?
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Which expression represents '6 more than x'?
Which expression represents '6 more than x'?
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$108 is 6% of what purchase price?
$108 is 6% of what purchase price?
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Study Notes
Chair Production Problem
- A factory produces 3,132 chairs each month.
- In 9 months, a total of 28,188 chairs are manufactured.
Board Cutting Problem
- Mr. Diaz cuts a 12-foot board into 1/3-foot pieces.
- Total pieces obtained: 36.
Travel Rate Calculations
- Heather travels 162 miles in 3 hours, resulting in 54 miles/hour.
- Carmine drives 325 miles in 5 hours, achieving a speed of 65 miles/hour.
- Kevin covers 252 miles in 4 hours, averaging 63 miles/hour.
Markers Distribution
- A class of 25 students shares 100 markers.
- With 5 students absent, each present student receives 5 markers.
Area and Dimensions
- Area of a rectangular patio is 5 5/8 square yards, length is 1 1/2 yards, resulting in a width of 3 3/4 yards.
Basic Division Problems
- 33.8 divided by 32.5 equals 1.04.
- 34,992 divided by 81 results in 432.
Greatest Common Factor
- The greatest common factor of 16 and 48 is 16.
Addition Problem
- The sum of 74.835 and 2.67 is 77.505.
Expense and Revenue Calculation
- Marshall spends $36.75 on 3 tickets costing x dollars each; the remaining amount is represented by $36.75 - 3x.
- Thomas buys a 36-pack of water for $4.69; reselling for $0.75 each yields a total profit of $22.31 upon selling all bottles.
Expression Representation
- "6 more than x" is represented as 6 + x.
Algebraic Evaluation
- The expression (A x A) + 3b / c - 2d evaluates to 11 when substituting a=3, b=8, c=2, and d=5.
Additional Travel Rate Problems
- Chad drives 168 miles in 3 hours, which is 56 miles/hour.
- To cover 672 miles at that speed, it will take Chad 12 hours.
- Chad consumes 28 miles per gallon; to drive 308 miles, he requires 11 gallons.
- For 672 miles, Chad would need 24 gallons of gas.
Simple Algebra Expressions
- The expression 3 + n represents the sum.
- 20% of 30 equals 6.
- The calculation 9 + 24 / 2 - 10 evaluates to 11.
Towel Cost Calculation
- Sharon pays $39.50 for 8 towels, costing $4.95 each.
Nut Distribution Problem
- A total of 8 bags of mixed nuts (3 1/2 cups each) shared among 12 hikers yields approximately 2 2/7 cups per hiker.
Percentage Calculations
- 40% of 36 is 14.4.
- 24 represents 40% of 60.
- $108 is 6% of a purchase price of $1,800.
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