GADCA 8th Unit 1 Review Expressions and Equations

-15+{10+2[40-5(8+3)]}

Mathematical Equivalence

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• 2

Which expression represents the phrase, “one-fourth the sum of 10 and a number"?

Ricky is raising money by selling discount cards. The expression 10(15-c) gives the amount Ricky still needs to raise after selling "c" number of cards. His goal is to sell 15 cards. What does each factor in the expression represent?

Drag and drop the correct answers into the boxes to match each expression.

10 --> ​ (a)  

(15-c) --> ​ (b)  

• The selling price of each card.
• The number of cards he still needs to sell.
• The money Ricky has already earned.
• The number of cards Ricky sold.

The length of a rectangle is 8 units shorter than one-half of the width, x.

Which expression represents the perimeter of the rectangle?

• 3x - 16

Julian's age, x, is 5 times his age 10 years ago.

Which equation represents the statement?

The product of a number, x, and five is seven more than the product of the number and three-fourths.

Which answer represents this situation?

4(5x-5)-2(2x+7)

Evaluate. Use the Distributive Property. Combine like terms. Watch your signs.

(a)  

A customer purchases one pair of jeans and a few shirts. Each shirt costs the same amount. The expression 25 + 15x represents the total 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 the jeans --->​ (a)  

Total cost of the shirts ---> ​ ​ (b)  

• 25
• 15x
• x
• 25+15x