The Properties
Simplifying Expressions
One-Step Equations
Graphing Inequalities and Problem Solving
One-Step Inequalities
100
a + 11 = 11 + a
What is Commutative Property?
100

2z + 5z - 3

What is 7z - 3

100
x - 9 = 15
What is x = 24?
100

The outside temperature t was at most 20 degrees. Graph the inequality.

What is t less than or equal to 20. Closed dot at 20 and shaded to the left.

100

8 + y < 6

What is y < -2?

200
2(5y) = (2 * 5)y
What is Associative Property?
200

6(2a - 3b)

What is 12a - 18b?

200

5z = 45

What is z = 9?

200
The number of students s in the class is less than 35.
What is s < 35. Open dot shaded to the left.
200
n / 8 > -2
What is n > -16?
300

Use the Distributive Property to solve 12(99).

What is Addition Property of Equality?

300

12n + 3k + 2n + 5k

What is 14n + 8k?

300

m / 7 = 14

What is 98?

300
The speed of a human is 28 mi/h. That is 7 mi/h less than that of a jackal. Write and solve an equation to find the speed of a jackal.
What is j - 7 = 28 and j = 35.
300
-2 + n < 7
What is n < 9?
400

Use the Commutative Property to solve 4 * 19 * 25.

What is the multiplication property of equality?

400

6n+4+8n-2

What is 14n+2

400

315 = 15y

What is 21?

400
Lauren and Hilary found a sale at a sporting goods store. Lauren spent $33 on 2 pair of shorts and 3 packages of socks. Hilary spent $27 on 1 pair of shorts and 5 packages of socks. This is the amount each item costs.
What is $12 for shorts and $3 for socks?
400
m / -3 > 10
What is m < -30?
500

Use the Distributive Property to solve 15(102).

What is the Subtraction Property of Equality?

500

2(x + 5)

What is 2x + 10?

500

m / 4 = 8

What is 32?

500
Central Middle School sold 50 tickets for one night of the school play. Student tickets sold for $2 each and adult tickets sold for $3 each. They took in $135. This is how much each type of ticket they sold.
What is 35 adult tickets and 15 student tickets?
500
-4z > -12
What is z < 48?