1.12 Unit Test: Expressions and Problem Solving - Part 1

Simplify. 14+{−2+3[1+3(−6−2)]}

-57

Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12. Monique has a coupon that gives her a discount of x percent on a baseball. She has a second coupon that gives her a discount of y percent on a set of tennis balls. The third coupon gives her a discount of z percent on her total purchase. She cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Monique's purchase after the coupons are applied. The variables represent the percentages as decimals. (1−x)20+(1−y)12+15 (1−z)(20+15+12) Which part of the expression represents the price of the set of tennis balls after a coupon was applied directly to them?

12(1−y)

A field is 3645 feet long. What is the length of the field in yards?

1215

Michael owns a lawn care service. He charges each customer 30 + 12h dollars, where h represents the number of hours spent working on a lawn.What does each part of the expression represent?Drag the answer into the box to match each part of the expression.

30 -- the base fee for lawn service 12 -- the fee for one hour of lawn service without the base fee 12h -- the cost for h hours of lawn service without the base fee

The product of a number, x, and six is four more than the product of the number and three-eighths. Which answer represents this situation?

6x=⅜x+4

A machine factory produces 2 parts per second. One shift is 10 hours long. What is the production rate in parts per shift?

72000

Mr. Frost typed for 12 minutes at a constant rate of 50 words per minute. Mrs. Grey typed the same number of words at a constant rate of 60 words per minute. How many minutes did it take Mrs. Grey to type the same amount as Mr. Frost? Drag the steps in the correct order to solve the problem.

Identify. Mrs. Grey's time is the unknown. Strategize. Let x = Mrs. Grey's time. Set up. 12(50)=x(60) Solve for x. x = 10 Check. 12(50)=10(60)

A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description.

cost of goal -- 180 total cost of soccer balls -- 15x

Mark's age, x, is 6 times his age 2 years ago. Which equation represents the statement?

x=6(x−2)

The length of a rectangle is 2 units shorter than one-fifth of the width, x. Which expression represents the perimeter of the rectangle?

¹⅖ x − 4

Simplify. ¼+4(½−¾)²

½

Which expression represents the phrase, "one third the sum of 12 and a number"?

⅓(12+x)