Inequalities, Distributive Property, Order of Operations, Combining Like Terms

Place the following steps in the correct order of operations:

• Operations inside parentheses and grouping symbols

• Exponents and Roots

• Multiplication and Division L to R

• Addition and Subtraction L to R

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

• Multiplying a term outside parentheses by everything inside

• Distributive Property

• Changing the order of terms (values move)

• Associative Property

• Changing the grouping of terms (parentheses move)

• Commutative Property

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

Commutative Property

Associative Property

Distributive Property

Property of Equality

Simplify the expression by distributing and combining like terms:

Solve the inequality shown here:

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

Solve by combining like terms.

2x + 7y + 3 - y + 5x - 7

• 7x + 6y - 4

• 7x + 8y - 4

• 2x + 6y - 4

• 9x + 6y - 4

Solve by combining like terms.

7x + 4x

• 11x

• 11y

• 3x

• 28x