Solving
Equations
Order of
Operations
Word Problem
Solve Inequality
Mixed Review
100

e - (-26) = 41

What is 15

100

3 + 8 / 2 - 5

What is 2

100

Three consecutive numbers have a sum of 75. What is the smallest number?

The smallest number is 24.

100

5 + k/-2 < 2

k < 6

100

Simplify

-3(8x +5)

What is -24x - 15

200

2X - 5 = 3

What is 4

200
4 + 7(2) + 8
What is 26
200

If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?

Austin needs to score a 98.

200

k/3 + 6 < 7

k < 3

200

Write the following verbal expression as an algebraic expression. 

3 times a number x less than 10

10 - 3x 

300

5x + 1 = 3x - 3

What is -2

300
5(9 + 3) - 3(4)
What is 48
300

If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?

The longest side is 19 cm.

300

9w - 4w + 6 ≥ 1 + 5w

6 is greater than or equal to 1 True, All real numbers

300

Graph the following inequality 

− 5 ≥ q

q less than or equal to -5

Closed circle at -5 shaded to the left.

400

6(y - 5) = 18 - 2y

What is 6

400
390 / [5(7 + 6)]
What is 6
400

The students in charge of the class booth at a carnival would like to earn $3 for every item they sell. They spent $55 for the materials to make the items. Write and Solve the inequality which represents how many items they need to sell to make a profit of at least $65.

Solve the inequality 3x - 55 ≥  65

x ≥ 40

They need to sell at least 40 items.

400

7 + 9y < 19 - 3y

y < 1

400

Is x = 10 solution? 

−3 > -x/5

No, -3 is not greater than -2

500

1/3(b - 9) = b + 9

What is -18

500
6 - [(2 + 7)/3 - (12/2 - 5)]
What is 4
500

The area of the rectangle with length=(3x + 2) and width = 10 is at most 140 square centimeters. 

Write and solve an inequality to find the possible values of x.

10(3x + 2) ≤ 140

x ≤ 4

500

10h - 3h + 6 ≥ 11 + 7h

6 is not greater than or equal to 11, False so no solution.

500

You must maintain a minimum balance of $50 in your checking account. You currently have a balance of $280.

 a. Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.

280-20x less than or equal to 50

x less than or equal to 11.5 or 

11, 20 dollar bills is the most you could withdraw to stay above 50 dollars.