1. If 3x + 5 = 17, what is the value of x?
Solution
Correct: C
Subtract 5 from both sides: 3x = 12. Divide by 3: x = 4.
2. Simplify 2(x + 3) - 4x.
Solution
Correct: A
Distribute: 2x + 6 - 4x = -2x + 6.
3. What is the value of x if 5x - 7 = 2x + 8?
Solution
Correct: C
Subtract 2x: 3x - 7 = 8. Add 7: 3x = 15. Divide by 3: x = 5.
4. Factor x² - 9 completely.
Solution
Correct: B
Difference of squares: x² - 9 = (x + 3)(x - 3).
5. If y = 2x + 1 and x = 3, what is y?
Solution
Correct: C
Substitute x = 3: y = 2(3) + 1 = 6 + 1 = 7.
6. Solve for x: 4(x - 2) = 12.
Solution
Correct: C
Divide by 4: x - 2 = 3. Add 2: x = 5.
7. Which expression is equivalent to (x + 4)²?
Solution
Correct: B
Expand: (x + 4)² = x² + 2·x·4 + 4² = x² + 8x + 16.
8. If 2x + 3y = 12 and x = 3, find y.
Solution
Correct: B
Substitute x = 3: 6 + 3y = 12 → 3y = 6 → y = 2.
9. Simplify (3x²)(2x³).
Solution
Correct: B
Multiply coefficients and add exponents: 3·2·x^(2+3) = 6x⁵.
10. What is the slope of the line y = -3x + 7?
Solution
Correct: A
Slope-intercept form y = mx + b gives slope m = -3.
11. Solve 7 - 2x = 3x + 12.
Solution
Correct: A
Bring variables to one side: 7 - 12 = 5x → -5 = 5x → x = -1.
12. Expand 3(2x - 5).
Solution
Correct: A
Distribute: 3·2x - 3·5 = 6x - 15.
13. If x² = 49, which value is NOT a solution for x?
Solution
Correct: B
x² = 49 → x = ±7. 0 is not a solution.
14. Simplify 5x - 3 + 2x + 7.
Solution
Correct: A
Combine like terms: 5x + 2x = 7x and -3 + 7 = 4 → 7x + 4.
15. Find x if 3(x + 2) = 2(x + 5).
Solution
Correct: C
Expand: 3x + 6 = 2x + 10 → x = 4.
16. What is the y-intercept of y = -2x + 9?
Solution
Correct: C
In y = mx + b, b is the y-intercept, so b = 9.
17. Simplify (x + 3)(x - 2).
Solution
Correct: B
FOIL: x² - 2x + 3x - 6 = x² + x - 6.
18. If 4x - 5 = 15, what is 2x?
Solution
Correct: B
Solve 4x = 20 → x = 5 → 2x = 10.
19. Which is a factor of x² + 5x + 6?
Solution
Correct: D
Factor: (x + 2)(x + 3), so both are factors.
20. Solve 0.5x + 4 = 10.
Solution
Correct: C
Subtract 4: 0.5x = 6 → x = 12.
21. Simplify (x⁵)/(x²).
Solution
Correct: A
Quotient rule: x^(5-2) = x³.
22. If y = x² and x = -4, what is y?
Solution
Correct: C
y = (-4)² = 16.
23. Find the value of x when 6x + 1 = 4x + 9.
Solution
Correct: B
Subtract 4x: 2x + 1 = 9 → 2x = 8 → x = 4.
24. Simplify (-2x)³.
Solution
Correct: B
Cube coefficient and variable: (-2)³ = -8 and (x)³ = x³ → -8x³.
25. Which equation represents a line with slope 1/2 and y-intercept -3?
Solution
Correct: B
Slope-intercept form y = mx + b with m = ½ and b = -3 gives y = ½x - 3.
26. If 9 - x = 2x, what is x?
Solution
Correct: C
Add x: 9 = 3x → x = 3.
27. Simplify 4x - (2x - 5).
Solution
Correct: C
Distribute minus: 4x - 2x + 5 = 2x + 5.
28. Find the product (x + 1)(x + 1).
Solution
Correct: B
Square: x² + 2·x·1 + 1² = x² + 2x + 1.
29. Solve 5 - 3x = -4x + 9.
Solution
Correct: C
Add 4x: 5 + x = 9 → x = 4.
30. What is the constant term in 3x² - 5x + 8?
Solution
Correct: C
The constant term is the term without x, which is 8.
31. Simplify (2x + 3) + (x - 5).
Solution
Correct: A
Combine like terms: 2x + x = 3x and 3 - 5 = -2 → 3x - 2.
32. If x = 2, evaluate x³ + x².
Solution
Correct: C
2³ + 2² = 8 + 4 = 12.
33. Find x if (x + 1)/3 = 2.
Solution
Correct: B
Multiply by 3: x + 1 = 6 → x = 5.
34. Which expression equals 2x² + 6x?
Solution
Correct: D
Factor out 2x: 2x(x + 3); also x(2x + 6) and 2(x² + 3x) are equivalent.
35. Solve 2(x - 1) = x + 3.
Solution
Correct: C
Expand: 2x - 2 = x + 3 → x = 5.
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