EmSAT Mathematics — Questions and Answers
Question 1: In the EmSAT Mathematics exam, what is the value of x if 3x + 7 = 22?
- 3
- 5 (Correct answer)
- 7
- 15
Correct answer: 5
Solving 3x + 7 = 22: subtract 7 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.
Question 2: What is the slope of the line passing through points (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 4
- 8
Correct answer: 2
Slope = (y2 - y1) / (x2 - x1) = (11 - 3) / (6 - 2) = 8 / 4 = 2.
Question 3: If f(x) = 2x² - 3x + 1, what is f(3)?
- 10 (Correct answer)
- 14
- 16
- 22
Correct answer: 10
f(3) = 2(3)² - 3(3) + 1 = 2(9) - 9 + 1 = 18 - 9 + 1 = 10.
Question 4: What is the area of a triangle with base 12 cm and height 8 cm?
- 48 cm² (Correct answer)
- 96 cm²
- 24 cm²
- 36 cm²
Correct answer: 48 cm²
Area of a triangle = ½ × base × height = ½ × 12 × 8 = 48 cm².
Question 5: Which of the following is the factored form of x² - 9?
- (x - 3)²
- (x + 3)(x - 3) (Correct answer)
- (x + 9)(x - 1)
- (x - 9)(x + 1)
Correct answer: (x + 3)(x - 3)
x² - 9 is a difference of two squares: a² - b² = (a + b)(a - b), where a = x and b = 3, giving (x + 3)(x - 3).
Question 6: What is the solution set of the inequality 2x - 5 > 7?
- x > 1
- x > 6 (Correct answer)
- x > 12
- x < 6
Correct answer: x > 6
2x - 5 > 7: add 5 to both sides → 2x > 12, divide by 2 → x > 6.
EmSAT Mathematics
In the EmSAT Mathematics exam, what is the value of x if 3x + 7 = 22?