One-Step
Equations
Two-Step
Equations
Writing Inequalities
One-Step
Inequalities
Two-Step
Inequalities
100

W + 7 = -3

Solve for W

W = -10

100

22 = 13x - 4

Solve for X

X = 2

100

Sally bakes some cookies and needs to put them in the oven for at least 12 minutes. Write an inequality using the variable t to show how long the cookies need to be baked in the oven.


x ≥ 12

100

16 > X + 7

Solve for X

9 > X

100

3x - 2 < 13 

Solve for X.

X < 5

200

Y - ⅘ = -⅖

Solve for Y

Y = ⅖

200

-3x + 3 = 45

Solve for X

X = -14

200

Newton has a 30 ounce bottle of water. He drinks over half of the bottle. Write an inequality using the variable c to show how many ounces are left in the bottle.

x < 15

200

-20 < 2x

Solve for X

-10 < X

200

7x - 10 ≥ 16

Solve for X.

X ≥ 4

300

-7p = -66.5

Solve for P

P = 9.5

300

8 = 10x - 3

Solve for X

X = 1.1

300

Anna is more than three times as old as Bertie. If Bertie is 8 years old, write an inequality using the variable A to show how old Anna is.

x > 24

300

54 ≤ 20x

Solve For X

2.7 ≤ X

300

34 + 10x > 56

Solve for X.

X > 2.2

400

C ÷ -6.3 = 23.17

Solve for C

C = -146

400

5x + 8 = 14

Solve for X

X = 1 ⅕

400

In a hotel there are f flights of stairs. Each flight has a maximum of 12 steps. There are also 3 steps up to the main entrance. Write an expression for the total number of steps, y, in terms of x.

y ≤ 12x + 3

400

4x + 2x ≥ 32 + 4

Solve For X

X ≥ 6

400

-2x - 5 ≤ 9 

Solve for X.

X ≤ -7

500

Lily wanted to go on the roller coaster named Superman, but you have to be 5.5 feet tall to ride the roller coaster. Lily is 4.5 feet tall. She grows about 3 inches every year. What is the closest estimate to the amount of time does Lily have to wait to be able to ride Superman? Use X for how much time she needs.

X = 4 Years

500

Shiloh was planning a pool party with 4 of her best friends. They each brought 8 water bottles. 3 of her other friends came and had more waters, there were 67 water bottles.  Write an expression that represents how many water bottles they brought, then solve. Use x for bottles.

40 + 3x = 67

X = 9

500

Lola is asked to solve this problem during math. She says that 8x - 6 < 70 is X < 8. Is she correct? If not, then explain what she did wrong and solve the problem.

Lola is not correct. She subtracted 6 from 70 instead of adding it to 70. So the correct answer is X < 9.5.

500

Maggie wanted to bake 36 cookies for the school's bake sale this weekend. She also promised to leave at least 12 cookies for her friends at home. What expression could represent how many cookies Maggie will bake? Use X to represent the cookies.

X - 36 ≥ 12

500

Maggie, Shiloh, Lily, and Lola go to a carnival. Lola and Lily brought $20 for food, and Shiloh and Maggie brought $34 for tickets. The tickets cost X per person. They also had to make sure to save $15 dollars to go see the show at the carnival later. Write an equation that could represent how much money the group can spend at the carnival.

54 - 4x ≥ 15