Chapter 1 Review

Properties

100

Name the property

3 + 7 = 7 + 3

Commutative Property of Addition

200

Name the Property

5(2 x 7) = (5 x 2)7

Associative Property of Multiplication

300

Name the Property

5xyz + 0 = 5xyz

Additive Identity Property

400

Name the Property

3b + 1/3b = 1

Multiplicative Inverse Property

500

Name the Property

-3x(2x-y) = -6x²+3xy

Distributive Property 

Exponent Rules

100

Simplify:

4xⁿ(5x^m)

20x^n+m

200

Simplify:

(x²)ⁿ⁺¹

x²ⁿ⁺²

300

Simplify:

(x²/b³)²ⁿ

x⁴ⁿ/b⁶ⁿ

400

Simplify:

(x²y)³/x³y^-5

x³y⁸

500

Simplify: 

(3x³y⁶) + (2x²y⁴)³

17x⁶y¹²

Solving Equations

100

Solve:

5x-30+3x=2x-8x+12

x=3

200

Solve:

6a+9-3a=a+3-4a

a=-1

300

Solve:

4(z-3) - (5-3z) = 3(2z - 4)

z=5

400

Solve: 

7x + 12(x - 9) + 4(3x+6) = 5(3x - 2) + 8(x - 3)

x=25/4

500

Solve for x:

ax + b = cx + d

x= d-b/a-c

Absolute Value Inequalities

100

Solve and Graph:

l 6x + 4 l + 9 >or= 17

x <or= -2  OR  x >or= 2/3

200

Solve and graph:

l x-1 l < 0

No solution

300

Solve and Graph:

l 2x - 6 l < 14

-4 < x < 10

400

Solve and Graph:

l 5x - 3 + 2x l -3 > 11

x > 17/7 or x < -11/7

500

Solve and Graph:

l -4x+1 l <-5

-1 < x < 3/2

Absolute Value Equations

100

Solve:

l a-7+6a l -6 = 22

a= -3, 5

200

Solve: 

l 10z - 16 - 4z l =8

z= 4/3, 4

300

Solve: 

l 2x+3 l =1

x= -2, -1

400

Solve: 

l 3x+11 l =0

x=-11/3

500

Solve: 

l 3x-11 l =-5

No Solution