Unit 2 Review

Single Variable Equations

100

Solve for x:

x - 5 = 20

x = 25

200

Solve for n:

3n + 7 = 34

n = 9

300

Solve for c:

-5c + 6 = -54

c = 12

400

Solve for y:

(1/3)y - 12 = -27

y = -45

500

Solve for b:

5b + 10 = 3b + 110

b = 50

Multi-Variable Equations

100

Solve for y:

x - y = 42

x = y + 42

200

Solve for r:

3r + 6t = -15

r = -2t - 5

300

Solve for m:

(-1/2)m + 4n = 26

m = 8n - 52

400

Solve for g:

5(g - 4h) = 20

g = 4h + 4

500

Solve for c:

2(8c + 3v) = 4v + 35

c = (-2v + 35)/16 or (-v/8) + 35/16

Combining Like Terms

100

Write the new expression:

5s + 24s

29s

200

Write the new expression:

5r - 3t + 4r

9r - 3t

300

Write the new expression:

6n - 3m + 12m - 15n

-9n + 9m or 9m - 9n

400

Write the new expression:

7g + 6(2g - 3h)

19g - 18h

500

Write the new expression:

-2c - (5c + 20v) + 36v

-7c + 16v

Slope-Intercept Form

100

Find the slope and y-intercept from the given equation:

y = 2x + 6

m = 2 , b = 6

200

Find the slope and y-intercept from the given equation:

y = (-1/2)x - 12

m = -1/2 , b = -12

300

Find the slope and y-intercept from the given equation

y - x = -45

m = 1 , b = -45

400

Find the slope and y-intercept from the given equation:

3y + 6x = 15

m = -2 , b = 5

500

Find the equation from the given slope and y-intercept:

m = -3/5 , b = 23

y = (-3/5)x + 23

Systems of Equations

100

Solve the following system using substitution:

2x + y = 10

y = 3x + 5

x = 1 , y = 8 or (1 , 8)

200

Solve the following system using substitution:

5x - 6y = 45

x = 4y + 6

x = 9 , y = 3/4 or (9 , 3/4)

300

Solve the following system of equations using elimination:

3x + 7y = 12

3x - 5y = -24

x = -1 , y = 9 or (-1 , 9)

400

Solve the following system of equations using elimination:

4x + 4y = 36

6x - 4y = -16

x = 2 , y = 7 or (2 , 7)

500

Solve the following system using either method:

2x + 5y = -21

-4x - 7y = 3

x = 22 , y = -13 or (22 , -13)