Multi-Step Equations
Multi-Step Equations w/ Variables on Both Sides
Definitions
Solutions
One-Step Equations
100

Solving Equations

4x + 3 = 7

x = 1

100

Solving Equations

5n - 2 = 8n - 14

n = 4

100

What is the variable?

The letter in the equation

100

2(x+6)= 2x+12

One solution, no solution, or infinitely many solutions

Infinitely many solutions

100

4 = -8 + x

x= 12

200

Solving Equations

4(6 + 5x) = 124

x = 5

200

Solving Equations

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

p = 0

200

What is the coefficient?

The number in front of the letter

200

3x+24=3x-14

One solution, no solution, or infinitely many solutions

No solution

200

x + 12 = 0

x= -12

300

Solving Equations

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

x = 7

300

Solving Equations

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

n = -1

300

What does it mean to solve for like terms?

Combine or group the terms with the same variables together.

300

10x+ 22x-5 = 8(4x+7)

One solution, no solution, or infinitely many solutions

No solution

300

3 = -2 – x

x= -5

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

400

Solving Equations

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

x= 5/12    or    x= 0.41667

400

What does it mean to "distribute" in an equation?

To multiply the coefficient by the things in the parentheses. 
400

14+13y=20y-21

One solution, no solution, or infinitely many solutions

One solution
400

5x = -80

x= 16

500

Solving Equations

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

k = 2

500

Solving Equations

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

n = 1

500

What is the difference between an expression and an equation?

The expression does not solve for the variable. Equations solve for the variable

500

Sarah has a collection of comic books. She buys 19 new books. Now, she has 5 piles of comic books with (x) books in each piles, plus those 19 extra books. In total, she owns 84 comic books. How many comic books are in each pile?

x=13

500

16 = x/2

x= 32

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