Number & Algebra
EXAM READINESS
Q&S
©2024/2025
,1. Solve the equation: \(2x + 5 = 17\). What is the value of
\(x\)?
- A. 5
- B. 6
- C. 7
- D. 8
Correct Answer: B. 6
Rationale: Subtract 5 from both sides to get \(2x = 12\).
Then divide both sides by 2 to get \(x = 6\).
2. Which of the following represents the expression for the
sum of a number \(x\) and twice that number?
- A. \(x + x^2\)
- B. \(x + 2\)
- C. \(x + 2x\)
- D. \(2x + 2\)
Correct Answer: C. \(x + 2x\)
Rationale: The expression "twice that number" is
represented by \(2x\), so the sum is \(x + 2x = 3x\).
3. If \(f(x) = 2x^2 - 3x + 5\), what is \(f(-1)\)?
- A. 6
- B. 8
- C. 10
- D. 12
Correct Answer: A. 6
Rationale: \(f(-1) = 2(-1)^2 - 3(-1) + 5 = 2 \cdot 1 + 3 + 5 =
6\).
©2024/2025
, 4. Which of the following inequalities represents "the
number \(x\) is less than or equal to 10"?
- A. \(x < 10\)
- B. \(x \leq 10\)
- C. \(x > 10\)
- D. \(x \geq 10\)
Correct Answer: B. \(x \leq 10\)
Rationale: "Less than or equal to" is represented by the
symbol \(\leq\).
5. What is the value of the expression \(5 + 4[3 - (8 - 6)]\)?
- A. 13
- B. 15
- C. 17
- D. 19
Correct Answer: C. 17
Rationale: Evaluate inside the parentheses first: \(8 - 6 =
2\). Then \(3 - 2 = 1\). Next, multiply by 4: \(4 \times 1 = 4\).
Finally, add 5: \(5 + 4 = 9\).
### Multiple-Select Questions
6. Which sets of numbers are integers? Select all that
apply.
- A. \(-3.5\)
- B. 0
- C. \(\frac{5}{2}\)
- D. -4
Correct Answers: B. 0; D. -4
©2024/2025