Questions and Answers
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?
36 pieces
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?
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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?
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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?
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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?
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What is 33.8 divided by 32.5?
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What is 34,992 divided by 81?
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What is the greatest common factor of 16 and 48?
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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?
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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?
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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?
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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?
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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?
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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?
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What is 3 + n?
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What is 20% of 30?
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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?
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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?
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What is 40% of 36?
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What percent is 24 of 60?
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Which expression represents '6 more than x'?
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$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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