2- Step Equations
Combining Like Terms
Distributive Property
Word Problems
Anything Goes
100

2x + 14 = 26

x = 6

100

10 + 12 + 2x = 30

x = 8

100

2 (x + 4 ) = 22

x = 7

100

You bought a pencil case that cost $5 and four erasers. You spent a total of $25. How much did each eraser cost?
What is the equation.

5 + 4x = 25

100

x + 3x = -8

x = -2

200

10 - 4x = 2

x = 2

200

2x + x + 15 = 6

x = -3

200

-2 ( x + 5 ) = -4

x = -3

200

The cost of renting a bike is $10 to take the bike and $4 for every hour it spends in your possession. The final sum Janice paid is $30. How many hours did Janice rent the bike for? 

Write an equation and solve for your answer. 

10 + 4h = 30

h= 5 hours

200

4(y - 2) + y = -13

y = -1

300

2/3x -10 = -4

x = 9

300

x + 3x -10 + 5 = -13

x = -2

300

-4 (2x + 5) = -52

x = 4

300

Ashley bought 40 lollipops. She gave two to each of her friends. She only has 4 remaining. How many friends does she have?

Write an equation and solve for your answer.

40 - 2f = 4

f= 18 friends

300

65m+24=173.5 

m=2.4

No, you get 180

400

-10 + x/3 = -12

x = -6

400

-5 = 5x - 2x - 6 - 5

x = 2

400

-14 = (2x + 3)2

x = -5

400

Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin? 

Write an equation and solve. 

x/2 + 16 = 36 x = 20 comic books


400

Eileen's age is 33 which is 12 more than 3 times Mickey's age. How old is Mickey?  

7 years old

500

-15 = -3/5x - 9

x = 10

500

3/4x - 1/2x + 2 - 10 = -10

x = -8

500

3 ( 2/3x - 5) = -23

x = -4

500

When you count by ones from any integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. 

Write an equation and solve.  What are the integers?

n + n + 1 + n + 2 = 48 

n = 15 

The integers are 15, 16, and 17.

500

Samantha goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins? 

Write an equation and solve. 

17r + 2.97 = 34.76

r = $1.87