Equations and Inequalities Review

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

What is: 

x = 1

200

Solving Equations

4(6 + 5x) = 124

What is: 

x = 5

300

Solving Equations

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

What is: 

x = 7

400

Solving Equations.

254 = -2v - 6(2 +6v)

What is:

v = -7

500

Solving Equations

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

What is:

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

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

What is:

n = -1

200

Solving Equations

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

What is:

p = 0

300

Solving Equations

6a - 7(2a + 4) = -33 - 8a

What is:

False statement, no solution

400

Solving Equations

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

What is:

n = 1

500

Solving Equations

-15 - 5x = 5(-x - 3)

What is:

True statement, infinite solutions

Absolute Value

100

Solving Absolute Value

|6r + 6| = 60

What is:

 r = -11 or r = 9

{-11,9}

200

Solving Absolute Value

|10x - 3| = 27

What is:

x = 3 or x = -12/5 

{3, -12/5}

300

Solving Absolute Value

|-6 + 3a| = 36

What is:

a = -10 or a = 14

{-10, 14}

400

Solving Absolute Value

|7n + 1| = 48

What is:

n = -7 or n = 47/7 

{-7, (47/7)}

500

Solving Absolute Value

|4k + 7| = -11

What is:

No solution

Solve for a variable

100

Solve for y.

3x + 2y = 2 

What is:

y = (-3/2)x + 1

200

Solve for x.

2x + 10y = -8

What is:

x = -5y - 4

300

Solve for y.

7x - 5y = -25

What is:

y = (7/5)x + 5

400

Solve for x.

u = xk + y

What is:

x = (u - y)/k

500

Solve for z.

3z + w = p

What is:

z = (p - w)/3

Inequalities

100

Solving Inqualities

3 + 10c < -37

What is: 

c < -4

200

 Solving Inqualities

4(k + 1)> -68

What is:

k > -18

300

Solving Inqualities

-8(6 +x)<16

What is:

x > -8

400

Solving Inqualities

-43 > 8n + 5

What is:

n < -6

500

Solving Inqualities

-5(5 + p) < 25

What is:

p > -10