Name Date Topic 4: Generate Equivalent Expressions

Answer the following questions. Show your work to receive full credit.

1. Write an expression for the following statement:

“Twice a number is subtracted from eighteen”

2. Simplify the following expression:

-8x+5+3x-9+3(x+4)

3. What is an equivalent expression for 8(2x-4y+7)?

4. Evaluate the following expression.

4.2x+7.1y, when x=8and y=5

5. What is the Greatest Common Factor for expression 32x+16y-48?

6. Add the following expressions:

(6x+4)+(-3x+9)+(15x-10)

7. Subtract the following expressions:

(22x-18)-(16x-10)

8. If the perimeter of a square is 4s+4, what is another equivalent
expression that could represent the perimeter of the square?

Answer the following questions.

9. The price of grapes, g, is $2.19 per pound. The price of bananas, b, is $0.59 per pound. The price of pears, p, is $1.49 per pound.

PART A

Write an expression to represent the total price of the fruit.

PART B

What is the total cost for 3 pounds of grapes, 3 pounds of bananas,
and 2 pounds of pears? Please show all of your work to receive full
credit.

10. On Saturday, Lukas drove 4x-5 miles. On Sunday, he drove 3x-10 miles. What is the difference in miles driven?

a) x+15 b) x-5 c) x+5 d) x-15

11. Which expression is equivalent to -25(15-20d+5c)? Select all that apply.

-30+40d-10c
-6+8d-2c
-2c+8d-6
6-8d+2c

12. Simplify the expression 2(10)+2(x-4).

a) 2x+16 b) x+12 c) 2x+12 d) x+16

13. A store offers 20% off all items. If x is the original purchase price, which expression represents the final price with the discount? Select all that apply.

1.2x
0.8x
x
x-0.2x
x+0.2x

14. Suppose 8x+16 ice cream cones were sold on Saturday and 7x-9 were sold on Sunday. What is the total number of ice cream cones sold?

a) 15x+25 b) 15x+7 c) x+7 d) x+25

15. There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 2.25 ounces per second.

PART A
Write an expression that represents the situation.

PART B
How many ounces are in the container after 4 seconds?

16. What are two different ways of factoring -3x-9? Select the two that apply.

-3(x+3)
3(x+3)
3(-x-3)
-3(x-3)

17. Use different highlight colors to match each expression on the left to the equivalent expression on the right.

13x+14-23x x+14

13x+14+23x 34x+13

23+34x-13 -13x+14

18. PART A

Factor the GCF from the expression 30x-6y.

PART B

What is the value of the expression 30x-6y when x= -4 and y=1?

19. PART A

Simplify the expression 5x+3y-20+3x-15y+4.

PART B

Write a factored expression for your answer for PART A.

20. Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which expression is equivalent to the number of tickets that Tomas has left? Select all that apply.

80-5x
80+5x
5(16-x)
-5x+80
5(16+x)