8th Grade Solving Equations

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Literal Equations

100

Solve: I=Prt for t

I/pr = t

200

Solve Ax + By = C for y

y= C-Ax/B

300

(4/3)(p-q)=r 

3/4 r + q = p

400

Solve m + 2n= 7m for n

n = 3m

500

Solve for c.

a² + b² = c²

c = sqrt(a^2 + b^2)

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

16 = x/2

x= 32

One, No, All Solutions

100

7(2 + 5v) = 3v + 14

One Solution - zero

200

36 - 7p = -7(p-5)

No Solution

300

-4(v + 3) = -12-4v

All Solutions

400

-3(v + 4) = 2v-37

One Solution

v=5

500

3 + 5n = 5(n+2)-7

All solutions