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

Place the following steps in the correct order of operations:

• Exponents and Roots

• Operations inside parentheses and grouping symbols

• Addition and Subtraction L to R

• Multiplication and Division L to R

Match the following terms to their meanings:

• Multiplying a term outside parentheses by everything inside

• Associative Property

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

• Distributive Property

• Changing the grouping of terms (parentheses move)

• Commutative Property

• Changing the order of terms (values move)

• Property of Equality

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

Associative Property

Commutative Property

Distributive Property

Property of Equality

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