EmSAT EmSAT Mathematics

Question 1

Solve for x: 2x + 5 = 17

Accepted Answer

x = 6

Answer

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?

Accepted Answer

3

Answer

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)

Accepted Answer

x + 3

Answer

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)?

Accepted Answer

15

Answer

f(3) = 2(3)² − 3 = 2(9) − 3 = 18 − 3 = 15.

Question 5

What is the value of log₁₀(1000)?

Accepted Answer

3

Answer

log₁₀(1000) asks: 10 to what power equals 1000? Since 10³ = 1000, the answer is 3.

EmSAT Practice Test