Generating Equivalent Expressions

Which expression is equivalent to 15x + 3?

• 15(1x + 1)

• 5(3x + 1)

• 3(5x + 1)

• 2(15x + 3)

Write an equivalent expression.

4(d-3)

• 4d - 12

• 4d - 3

• (d - 3)4

• 3(d - 4)

Write an equivalent expression.

3a + 9

• 3(3a + 3)

• 3(a + 9)

• 3(a + 3)

• (a + 9)3

Use properties of operations to complete the equivalent expression.

2(m+5)

Use properties of operations to complete the equivalent expression.

30b−6y

Select the expression that is equivalent to

7x−42.

• 7(x - 42)

• (4 + 3) x - 42

• 8(x - 42) - (x - 42)

• 7(x + 6)

Select the expression that is equivalent to

5½ + 4t + 2½.

• 8 + 4t

• 4(2 - t)

• 5½ - 4t + 2½

• 8 - 4t

Are the two expressions below​ equivalent?

9x − 15y + 21z and 3(3x - 5y +7z)

• yes

• no

Molly says that the expressions 12y − 36 and 4(3y − 9)

are equivalent because of the Distributive Property. Do you​ agree?

• yes

• no

Let the area of 2 figures be denoted by the formula 5m+5n.

How can you use the Distributive Property to write an equivalent expression for

5m+5n​?

• 5m + 5n = 5n + 5m

• 5m + 5n = m + 5n

• 5m + 5n = 5(mn)

• 5m + 5n = 5(m + n)