Linear 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

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

(x/2) +10=-8

x= -36

400

(x-4)/2=10

x= 24

500

(x+12)/3=-3

x= -21

Random

100

What's the rule when combining like terms. ( How do you know you can combine two or more terms?)

They have to have the same variable AND exponent.

200

What is the goal of solving equations?

Get ONE "x" by itself or one variable by itself

To find the value of a variable

300

What does it mean to distribute in math? Provide an example.

Multiply a term by everything in a set of parenthesis.

For example 3( 4x - 6) = 12x - 18

400

How to Check the solutions by yourself?

Plug the solution into the original equation.

500

Joseph has a garden with a length of 2 and width of 4x-3. Find the area of his garden.

8x - 6

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