One Step Equations
Two Step Equations
Write Equations
Variables on Each Side
Multi-step Equations
100
2x = 24
x = 12
100
A __________ contains two operations.
two-step equation
100
Five plus a number is fifteen
5 + h = 15
100
8 + 4d = 5d
d = 8
100
15(20 + d) = 420
d = 8
200

When solving an equation with a fraction as the coefficient we multiply both sides by what?

The Multiplicative Inverse

200
5 = 4a - 7
x = 3
200
The product of 3 and a number is 36
3r = 36
200
6n - 1 = 4n - 5
n = -2
200
-12(k + 4) = 60
k = -9
300

1.2b = 9.6

x = 8

300
16 = 5x - 9
x = 5
300
Four less than five times a number is equal to 11
5t - 4 = 11
300

Solve: 6(n + 5) = 3(n + 16)

n = 6

300
8(t + 2) -3(t - 4) = 6(t - 7) + 8
t = 62
400

7/8 k = -21


k = -24

400
15 - w/4 = 28
w = -52
400

Fifteen more than half a number is 9

1/2 n + 15 = 9


400
4x - 2 = 22 - 8x
x = 2
400

5(1 + n) = -5

n = -2

500

A _____________ is any number that is being multiplied to a variable

 

Coefficient

500
Bobby received a $50 gift card to an online store. He wants to purchase some t-shirts that cost $8 each. There will be a $10 overnight delivery fee. How many t-shirts can he buy?
He can by 5 t-shirts.
500
Six less than seven times a number is equal to -20.
7y - 6 = -20
500
Green's Gym charges a one time fee of $50 plus $30 per session for a personal trainer. A new fitness center charges a yearly fee of $250 plus $10 for each session with a trainer. For how many sessions is the cost of two plans the same?
s = 10
500
2(3x + 5) = 5(2x - 4) - 4x
No Solution
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