Simplifying Expressions by Distributing and Combining Like Terms

What is the first step in simplifying algebraic expressions?

• Subtracting variables

• Adding constants

• Distributing

• Combining like terms

What is the result of distributing -3 in the expression -3(2m - 4) + 7?

• 6m - 12 + 7

• -6m + 12 + 7

• -6m - 12 + 7

• 6m + 12 + 7

After distributing -3 in the expression -3(2m - 4) + 7, what is the next step?

• Multiplying variables

• Subtracting constants

• Combining like terms

• Adding coefficients

In the expression 2(5x + 1) - 14, which number is distributed?

• 2

• 1

• 5

• 14

What is the result of combining like terms in the expression 2(5x + 1) - 14?

• 10x + 12

• 10x + 2

• 10x - 2

• 10x - 12

In the expression 9 - (2t - 8), what is being distributed?

• 2t

• 9

• 8

• Negative sign

What is the result of distributing the negative sign in the expression 9 - (2t - 8)?

• -2t - 8

• 2t + 8

• 2t - 8

• -2t + 8

In the expression 4(m - 1) - 2(3m + 4), what is the result of the first distribution?

• 4m + 4

• 4m - 4

• -4m - 4

• -4m + 4

What is the result of the second distribution in the expression 4(m - 1) - 2(3m + 4)?

• 6m + 8

• 6m - 8

• -6m + 8

• -6m - 8

What is the final simplified form of the expression 4(m - 1) - 2(3m + 4)?

• -2m - 12

• 2m - 12

• -2m + 12

• 2m + 12