Name _____________________ Date:_____________________

Solve the following problems

1. What is the product of -10 and +5? ____________

2. Add: -10 + 5 ____________

3. What is the quotient of -16 and -4? _____________

4. Subtract: -1 − -8 ______________

5. Calculate: |-6 × 2 + -4 × -3| ___________

6. Simplify the following expressions:

a) 4x + 5 + 2x ____________

b) -6x + 4z + -3x − 10z ____________

c) 10y − -2y − 3z − 9z − 6y ____________

d) x^{5} × y^{4} × x^{-7} × y^{10} ______________

e) x^{8} ÷ x^{2} ____________

f) (4x)^{3} _________________

g) (-5c)^{4} _________________

7. Which of the following expressions show the associative property?

A. 5 × 7 + 2 = 2 + 5 × 7 B. 5 + 7 = 7 + 5 C. (5 × 7) × 2 = 5 × (7 × 2) D. 2 + 7x

8. Which properties are illustrated by the following three expressions?

a) -1 × 7 + 2 = 2 + -1 × 7

b) 9 * 1 = 9

c) 4 × ( 2 + 6) = 4 × 2 + 4 × 6

A. Identity property of addition, distributive property, and commutative property of addition B. Identity property of addition, distributive property, and associative property of addition C. Identity property of multiplication, distributive property, and commutative property of addition D. Identity property of multiplication, distributive property, and commutative property of multiplication

9. Solve the following equations for x:

a) x − 2 = -7

b) x − -2 = -7

c) (2/3)x = 6

d) -2x + 5 = -11

e) ax + b = -e

10. Solve the following inequalities. Then graph a) on the number line

a) 3x - 2 > -11

b) x ≠ 5

c) -1 ≤ x < 4

d) -5f < -10

11.

Convert the following numbers into scientific notation:

a) 0.0000000000245 _______________

b) 890000000 ______________

12. Add the following polynomials:

a) 9z^{8} + 2z^{5} + 4z^{2} + 2 and 5z^{8} + -6z^{5} + -4z^{2} + -1z^{} + -8

b) z^{6} + 5z^{4} + -10z^{3} + -7 and -z^{6} + 8z^{4} + 4z^{3} − 8

13. Multiply the following polynomials and simplify

a ) 4x^{3}( 2x^{2} + x − 5) _______________

b) (4x^{3} + 4x )( 2x^{2} + x − 5)_________________