Algebra 1: Unit 1 Review

One, Two, & Multi-Step Equations

100

-7 = p - 12

p = 5

200

14 = -9k - 4

k = -2

300

6x + 7 - 3x + 5 = 48

x = 12

400

90 = 9(4a - 2)

a = 3

500

 7(12 - 3x) = 3(-3x + 4)

x = 6

Solution Types

100

2g + 3 = 2g + 7

No solution

200

-6x + 2 = -6x + 2

Infinite solutions

300

4r + 2r - 5 = 7r - 1

r = -4

400

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

Infinite solutions

500

3w + 1 = 3(w - 1) + 4

No solution

Proportional Equations

100

4/6 = n/3

n = 2

200

(f - 3)/5 = f/10

f = 6

300

y/(y + 20) = 24/54

y = 16

400

(x + 7)/12 = x/8

x = 14

500

12/9 = (x + 2)/(x - 3)

x = 18

Literal Equations

100

S = 5x, for x

x = S/5

200

cm - d = 4, for m

m = (4 + d)/c 

300

D = 6m/v, for m

m = Dv/6

400

7p + 3a = 8, for p

p = (8 - 3a)/7

500

6y + 3x = 10y + 17, for x

x = (4y + 17)/3

Inequalities

100

5x + 4 < 19

x < 3

200

15x - 7<=5(3x+4)

All real numbers.

300

2x-14>5x-4

x<-10/3

400

You have to flip your inequality symbol when you __________________________________

multiply or divide both sides of the inequality by a negative number.

500

-4(2x+7)<=-4

x>=-3

Evaluating Expressions

100

Evaluate for x=10, y=11, z=12

x+2y-3z

-4

200

Evaluate for z = -4 and y = 8

-y^2+3z-15

-91

300

Evaluate for x=-15 and y = -20

x^2+y^2-3x-3y

730

400

Evaluate for x = 5 and y = -6

3x^2+4y^3

-789

500

Evaluate for x = -8, y = 4, and z = 1/4

(4xyz)/(x-8yz)

2