Basic Algebra Review
Results
Solutions:
- 1. Solve for x: 2x + 3 = 7
Solution: 2x + 3 = 7
2x = 7 - 3
2x = 4
x = 2
- 2. Simplify: 4(2x - 5)
Solution: 4(2x - 5) = 4*2x - 4*5
= 8x - 20
- 3. Solve for x: x/4 = 5
Solution: x/4 = 5
x = 5 * 4
x = 20
- 4. Simplify: 3x - 2x + 6
Solution: 3x - 2x + 6
= x + 6
- 5. Solve for x: 5x - 9 = 16
Solution: 5x - 9 = 16
5x = 16 + 9
5x = 25
x = 5
- 6. Expand: (x + 3)(x - 2)
Solution: (x + 3)(x - 2) = x*x + x*(-2) + 3*x + 3*(-2)
= x^2 - 2x + 3x - 6
= x^2 + x - 6
- 7. Solve for x: 2x - 7 = 3x + 1
Solution: 2x - 7 = 3x + 1
-7 - 1 = x
x = -8
- 8. Simplify: x^2 + 2x + 1
Solution: x^2 + 2x + 1 = (x + 1)^2
- 9. Solve for x: x^2 - 9 = 0
Solution: x^2 - 9 = 0
(x - 3)(x + 3) = 0
x = ±3
- 10. Simplify: 2(x + 4) - 3(x - 2)
Solution: 2(x + 4) - 3(x - 2)
= 2x + 8 - 3x + 6
= -x + 14
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