Grade 9 Math (MTH1W) · Algebra

Distribute and simplify

Expand an expression using the distributive property, then collect like terms. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MTH1W-C1.3

Try one

Expand and simplify. Choose the correct answer.

3(3x + 4) + 3x
  • 12x - 12
  • 12x + 4
  • −12x + 12
  • 12x + 12

Answer: 12x + 12

See one solved, step by step

Expand and simplify. Choose the correct answer.

−4(2x + 3) - 2x - 2
  • −10x + 10
  • 10x - 14
  • −10x + 1
  • −10x - 14
📘 Worked solution
1−4(2x + 3) - 2x - 2Distribute -4 into both terms inside the brackets: multiply each one by -4.
2−4 · 2x = −8x, −4 · (3) = −12Multiply the outside number by each term separately.
3−8x - 12 - 2x - 2Rewrite the expression after distributing.
4= −10x - 14Combine any like terms to reach the simplest form.

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