Use the distributive property to remove the parentheses in

Question

1. Which of the following is not an expression?

A)  z•y – 6    B)  y(z + 5)    C)  z + y + 1    D)  y + ÷ z

2. Use the distributive property to remove the parentheses in the following expression.  Then simplify your result if possible.

10(8 + 4)

A)  22    B)  120    C)  320    D)  84

3. Combine like terms.

9u + 6v – 10u

A)  5uv    B)  5u + v    C)  –u + 6v    D)  15u – 10v

5. Evaluate. 8 + 2 • 5 – 24 ÷ 6 • 2

A)  48    B)  16    C)  42    D)  10

6. Which of the following is not an expression?

A)  ab = 6    B)  a + b + c    C)  x + 2y    D)  4(y + 1)

8. Multiply.

2m⁴ * 8m⁸

A)  10m³²    B)  16m³²    C)  16m¹²    D)  10m¹²

9. Write the following phrase using symbols.

8 times the sum of p and r

A)  8 + (p + r)    B)  8+(pr)    C)  8 p + r    D)  8(p + r)

10. Evaluate b² – 2bc + c² if b = 3 and c = –2.

A)  17    B)  –7    C)  25    D)  1

11. Use your calculator to evaluate the following expression if x = –5.72, and y = 2.69, and z = –9.07.  Round your answer to the nearest tenth.

x – yz

A)  17.3    B)  20.0    C)  19.8    D)  18.7

12. Subtract. 6 – (–5)

A)  –1    B)  11    C)  –11    D)  1

13. Write the following phrase using symbols.  Use the variable x to represent the number.

Eight less than three times a number

A)  3(x – 8)    B)  8 – 3x    C)  3(8 – x)    D)  3x – 8

15. Determine whether the following is an expression.

v – • q

A)  No    B)  Yes

16. Find the median.

24, 28, 23, 39, 10, 48, 34

17. Use the indicated property to write an expression that is equivalent to the following expression.

18 • 3 + 18 • 13        (distributive property)

18. A rectangle has sides of 3x – 4 and 7x + 10.  Find the expression that represents its perimeter.

19. Use your calculator to evaluate the following expression if x = –7.29, and y = 5.92.  Round your answer to the nearest tenth.

x + 4y

20. List the like terms in the following group of terms.

7z, –8yz², 9y²z, –3yz²,  –5yz², 9y²

21. Write the following phrase using symbols.  Use the variable x to represent the number. 

1 less than a number

22. Use the properties of addition and multiplication to complete the statement.

2 • 20 = 20 • ____

23. Write the following phrase using symbols.

2 more than r

24. List the terms of the following expression.

3r² – 2r – 8

25. Use the indicated property to write an expression that is equivalent to the following expression.

(3 • 20) •13        (associative property of multiplication)