Simplifying Expressions
Combining like terms and using the distributive property.
Score: 0 / 10
1. Simplify: 3x + 5x
2. Simplify: 7y − 2y
3. Simplify: 4(x + 3)
4. Simplify: 2x + 3 + 5x − 1
5. Simplify: 6a − 2a + 3
6. Simplify: 3(2x − 4)
7. Simplify: 5x² + 3x²
8. Simplify: −2(x − 5)
9. Simplify: 4x + 2y − x + 3y
10. Simplify: 9x − (3x + 2)
Answer key — Simplifying Expressions
- A — 8x. Add the coefficients of like terms: 3x + 5x = 8x.
- B — 5y. Subtract the coefficients: 7y − 2y = 5y.
- B — 4x+12. Distribute the 4: 4 × x + 4 × 3 = 4x + 12.
- A — 7x+2. Combine like terms: (2x + 5x) + (3 − 1) = 7x + 2.
- A — 4a+3. Combine like terms: 6a − 2a = 4a, plus the constant 3.
- B — 6x−12. Distribute the 3: 3 × 2x − 3 × 4 = 6x − 12.
- B — 8x². Add the coefficients of like terms: 5x² + 3x² = 8x².
- B — −2x+10. Distribute the −2: −2 × x − (−2) × 5 = −2x + 10.
- A — 3x+5y. Combine like terms: (4x − x) + (2y + 3y) = 3x + 5y.
- A — 6x−2. Distribute the minus sign: 9x − 3x − 2 = 6x − 2.
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