Inequalities, Distributive Property, Order of Operations, Combining Like Terms, One-Step Equations

Place the following steps in the correct order of operations:

• Addition and Subtraction L to R

• Exponents and Roots

• Multiplication and Division L to R

• Operations inside parentheses and grouping symbols

Match the following terms to their meanings:

• You can add, subtract, multiply, or divide both sides of an equation by the same value

• Property of Equality

• Changing the grouping of terms (parentheses move)

• Commutative Property

• Changing the order of terms (values move)

• Distributive Property

• Multiplying a term outside parentheses by everything inside

• Associative Property

Tags

CCSS.6.EE.A.3

For each step in the equation with an empty box, click on the box, then click on the property that is used to accomplish that step.

c

a

b

d

Property of Equality

Distributive Property

Commutative Property

Associative Property

Tags

CCSS.6.EE.A.3

Simplify by combining like terms:

Tags

CCSS.7.EE.A.1

Evaluate the following when a = 17, b = 30, and c = 42.
a + 6(3c – b) ÷ 32

• 35

• 18

• 19.25

• 34

Tags

CCSS.6.EE.A.2C

Tags

CCSS.6.EE.A.3

Simplify the expression by distributing and combining like terms:

Tags

CCSS.6.EE.A.3

Nora set a goal to buy a new smart watch. She estimates the cost to be at least $350. She currently has $70 in savings. If she gets paid $40 per week to mow lawns, which inequality correctly represents the minimum number of weeks, w, that Nora has to mow in order to afford the smart watch?

• 70w + 40 ≥ 350

• 40w + 70 ≥ 350

• 70w + 40 ≤ 350

• 40w + 70 ≤ 350

Tags

CCSS.7.EE.B.4B

Find the Solution set.

0 > 3x − 3 − 6

• x < 3

• x > -3

• x < -3

• x > 3

Tags

CCSS.7.EE.B.4B

Find the solution set. −6(1 + 2x) ≥ 6(2x − 1) + 2x

• x > 0

• x < 0

• x > 0

• x < 0