EmSAT EmSAT Mathematics 1 — Questions and Answers
Question 1: Solve for x: 2x + 5 = 17
- x = 4
- x = 6 (Correct answer)
- x = 11
- x = 7
Correct answer: x = 6
Subtract 5 from both sides: 2x = 12. Then divide both sides by 2: x = 6.
Question 2: What is the slope of the line y = 3x - 4?
- 4
- −4
- 3 (Correct answer)
- −3
Correct answer: 3
In the slope-intercept form y = mx + b, m is the slope and b is the y-intercept. In y = 3x − 4, the slope m = 3.
Question 3: Simplify: (x² + 5x + 6) ÷ (x + 2)
- x + 3 (Correct answer)
- x + 2
- x − 3
- x − 2
Correct answer: x + 3
Factor the numerator: x² + 5x + 6 = (x + 2)(x + 3). Divide by (x + 2) to get x + 3.
Question 4: If f(x) = 2x² − 3, what is f(3)?
- 9
- 15 (Correct answer)
- 21
- 12
Correct answer: 15
f(3) = 2(3)² − 3 = 2(9) − 3 = 18 − 3 = 15.
Question 5: What is the value of log₁₀(1000)?
- 2
- 3 (Correct answer)
- 4
- 10
Correct answer: 3
log₁₀(1000) asks: 10 to what power equals 1000? Since 10³ = 1000, the answer is 3.
Question 6: Solve the inequality: 3x − 7 > 8
- x > 1
- x > 5 (Correct answer)
- x > 3
- x > 15
Correct answer: x > 5
Add 7 to both sides: 3x > 15. Divide by 3: x > 5.
EmSAT EmSAT Mathematics 1
Solve for x: 2x + 5 = 17