2-Step
Equations
Distributive
Property
Combine
Like Terms
Variables on
Both Sides
Number of
Solutions
100

When writing a 2-step equation from a word problem, after reading the problem and circling important information, you must FIRST...

Define a variable.

100

To use the distributive property means to _______ . 

multiply

100

In order to combine like terms, they must both have the same ______.

variable

100

When you have variables on both sides, you need to....

get the variables on one side and the numbers on the other side

100

When expressions on both sides of the equals sign are the same, the solution is ____________.

ALL REAL NUMBERS

200

Solve: 2x + 5 = 7

x = 1

200

When solving a multi-step equation, if you see __________ the first step is to always distribute.

parenthesis ( )

200

What is the first step to solve?

2p + 9 + 2 = 6p + 7

Combine 9 and 2 to make 11

200

What is the first step? 

2y - 31  = -9y + 24

Add 9y to both sides

200

In this case, only one number will work to make the equation true.

a) identity

b) no solution 

c) one solution

c) one solution

300

Solve: 13 – 3d = -8

d = 7

300

What is the first step to solve? 

2(x + 4) = 12x + 5

Multiply x and 4 by 2 (Distribute the 2)

300

Write the next step in the equation: 4 + 4x = 10x - 5 -2x

4 + 4x = 8x - 5

300

Solve: 5n + 9 = 2n

n = -3

300

When it is an _________ equation, any number you put in will work to make the equation true.

identity

400

Solve: g/3 + 4 = 13

g = 27

400

Write the next step in the equation: 5(x + 3) = 30    

5x + 15 = 30

400

Are these like terms?

1. -5 & -5y

2. -12x & 6x

3. 7x & 7y

1. no

2. yes

3. no

400

To get the variables on one side, you will need to either _____ or ______ the term with the variable.

add or subtract

400

When the final step in solving produces expressions that are not equal on both sides, the equation has _____________ . 

no solution

500

Write an equation: Tray went to the batting cages to practice hitting. He rented a helmet for $4 and paid $0.75 for each round. If he spent a total of $7 at the batting cages, how many rounds did he pay for?

4 + 0.75p = 7

500

Solve: -2(2y + 4) = 3(y – 12)

y = 4

500

Solve: 17x - 23 + 9x = 55

x = 3

500

Solve: 7y – 15 = 5y + 7

y = 11

500

Solve:  

-10y + 18 = -3(5y – 7) + 5y 

No Solution

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