Expressions Review

Writing Expressions

100

1. The price of grapes is $2.19 per pound. The price of bananas is $0.59 per pound. The price of pears is $1.49 per pound. 

 Write an expression to represent the total price of g pounds of grapes, b pounds of bananas, and p pounds of pears. 

2.19g + 0.59b + 1.49p

200

Thomas bought 80 tickets for rides at an amusement park. Each ride cost 5 tickets, and Thomas has been on x rides so far. Write an expression to show the number of tickets that Thomas has left.

80 - 5x   or

5(16 - x)  or

-5x + 80

300

The price of grapes is $2.19 per pound. The price of bananas is $0.59 per pound. The price of pears is $1.49 per pound.

What is the total cost for 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears?

$11.32

400

A rectangle has a width of (2.5x + 15) and a height of (3.6x - 5). Write an expression to represent the perimeter of the rectangle.

2(2.5x + 15) + 2(3.6x - 5)

or

12.2x + 20

500

The leader of a middle school band orders matching shorts and tops for all 20 band members. Each pair of shorts cost $15. Each top cost x dollars. Write an expression to represent the total cost for all 20 band members to receive shorts and a top.

20(15 + x)

Combining Like Terms

100

3y + 5 + 4y + 3

7y + 8

200

Combine like terms to make an equivalent expression for:

4x - 5y - 5x + 8y

-x + 3y

300

2(10) + 2(x - 4)

12 + 2x

400

-5x + 6(x + 10) - 2

x + 58

500

-3/4(32 + 24e - 4f) + (-10)

-34 - 18e + 3f

Equivalent Expressions

100

Is 1.5 - 2t equivalent to 0.25(8 - 6t)

No

200

Which expression is equivalent to 1.52x?

A. 1 + 0.52

B. 1 + 0.52x

C. 1 - 0.52x

D. x + 0.52x

D.  x + 0.52x

300

Write an expression is equivalent to 1/3(6 - 4x + 9).

5 - 1 1/3x

400

Is -3(t - 7 + 5t + 8) equivalent to -18t - 3?

Yes

500

The expression 24x - 12 represents the perimeter of a square. Write an expression that represents the length  of each side of the square.

6x - 3

Distributive Property

100

5(3x + 2)

15x + 10

200

Factor the following expression using the GCF:

-7x - 14

-7(x + 2)

300

Factor the following expression using the GCF:

-12x - 18

-6(2x + 3)

400

10(-5x - 20x)

-250x

500

Factor the following expression:

x + x + w + w

2(x + w)

Add/Subtract Expressions

100

(4x - 6) + (-7 + 8x)

12x - 13

200

(2x + 4) - (5 - 3x)

5x - 1

300

20 - (2.5 + 1.25x)

17.5 - 1.25x

400

Which expression would be added to 2x + 6 to make it equivalent to the expression 4(x + 2)?

A.2x - 2

B.2x + 2

C.4x + 8

B.     2x + 2

500

Subtract the expression 2x + 4 from the expression -2(x + 3).

-4x - 14