EmSAT Mathematics

Question 1

In the EmSAT Mathematics exam, what is the value of x if 3x + 7 = 22?

Accepted Answer

5

Answer

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)?

Accepted Answer

2

Answer

Slope = (y2 - y1) / (x2 - x1) = (11 - 3) / (6 - 2) = 8 / 4 = 2.

Question 3

If f(x) = 2x² - 3x + 1, what is f(3)?

Accepted Answer

10

Answer

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?

Accepted Answer

48 cm²

Answer

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?

Accepted Answer

(x + 3)(x - 3)

Answer

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).

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