MPT Algebra 5

Question 1

Which expression is equivalent to (x³ · x⁻¹)²?

Accepted Answer

x⁴

Answer

x²

Answer

x⁶

Answer

x⁻²

Question 2

The sum of three consecutive integers is 54. What is the largest integer?

Accepted Answer

19

Answer

18

Answer

20

Answer

17

Question 3

What is the vertex of the parabola y = (x - 2)² + 5?

Accepted Answer

(2, 5)

Answer

(-2, 5)

Answer

(2, -5)

Answer

(-2, -5)

Question 4

Solve for x: (x/3) - 2 = (x/6) + 1

Accepted Answer

18

Answer

9

Answer

6

Answer

12

Question 5

If g(x) = x² - 4 and h(x) = x + 2, what is g(x)/h(x) simplified (x ≠ -2)?

Accepted Answer

x - 2

Answer

x + 2

Answer

x² - 2

Answer

(x - 2)(x + 2)

Question 6

Two numbers have a sum of 20 and a product of 75. What are the numbers?

Accepted Answer

5 and 15

Answer

10 and 10

Answer

4 and 16

Answer

3 and 17

Question 7

Which inequality represents 'three less than twice a number is at most 11'?

Accepted Answer

2n - 3 ≤ 11

Answer

2n + 3 ≤ 11

Answer

3 - 2n ≤ 11

Answer

2n - 3 ≥ 11