Simplify Algebra Expressions Distribution

Match the following expression with what it would be AFTER you distribute.

• 6x - 18

• -6(x - 3)

• -6x - 18

• 6(x + 3)

• -6x + 18

• 6(x - 3)

• 6x + 18

• -6(x + 3)

Solve: 9(x + 4) = 18

Mathematical Equivalence

ON

Solve: 8v - 4(v + 8) = 8

Mathematical Equivalence

ON

-2x + 11 + 6x

• 8x+11

• 4x +11

• 4x

• 15x

Simplify the expression: 2x + 1 + 7x 

• 10x

• 10

• 9x + 1

• 9 + 1x

Simplify the following expression:
-9(14p - 8) - 4p

• 130p - 72

• 122p - 72

• -130p - 18

• -130p + 72

Simplify the following expression:
-7x +5 (1 - 8x)

• -33x + 5

• 5 + 33x

• 47x + 5

• 5 - 47x

What is the distributive property in algebra?

• It is a method to simplify expressions by distributing a number to each addend within parentheses.

• It is a technique to solve quadratic equations.

• It is a property that deals with the addition of fractions.

• It is a rule for finding the derivative of a function.

How would you apply the distributive property to the expression 3(x + 4)?

• 3x + 12

• 3x + 4

• 3x + 7

• 3x + 4x

In the equation 2(x + 5) = 20, what is the first step to solve for x using the distributive property?

• Distribute the 2 to get 2x + 10 = 20

• Subtract 5 from both sides

• Divide both sides by 2

• Add 5 to both sides