Solving Equations and Inequalities Using Distributive Property

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

solve 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

2(2x + 3) = -6(x + 9)

• x = 1.2

• x = 6

• x = -6

• x = 7.5

Solve:
3x + 15 = 3(x + 5)

• No Solution

• x = 15

• Infinitely Many Solutions

• x = 0

3(2x+3) = 5(x -1)

• -1

• 11

• 1

• -14

What property is represented here:

• Multiplication Property of Equality

• Division Property of Equality

• Combining Like Terms

• Distributive Property

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

• 1

• 2

• 5

• 6

D matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

Solve:
3(x - 2) < 2(x + 9)

• x<24

• x>12

• x<12

• x>24

3x + 2(4x - 4) = 3

• x = 4

• x = 3

• x = 2

• x = 1