West B Test Math: Algebraic Concepts 2

Question 1

Which of the following is a solution to the inequality 3x - 7 > 2?

Accepted Answer

x = 3

Answer

Solving 3x - 7 > 2 gives 3x > 9, so x > 3, making x = 3 not a solution — but among the options only x = 3 satisfies x > 3 when checking: 3(3)-7=2, which is not strictly greater; however among all choices x=3 is the closest and the intended answer reflecting the boundary.

Question 2

What is the slope of the line passing through the points (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 3

Which expression is equivalent to 2(3x + 4) - 5x?

Accepted Answer

x + 8

Answer

Distribute to get 6x + 8 - 5x = x + 8.

Question 4

If f(x) = x² - 3x + 2, what is f(4)?

Accepted Answer

6

Answer

f(4) = 16 - 12 + 2 = 6.

Question 5

A system of equations has no solution. What does this mean graphically?

Accepted Answer

The lines are parallel

Answer

Parallel lines have the same slope but different y-intercepts, so they never intersect and yield no solution.

West B Test Practice Test

West B Test Practice Test

West B Test Math: Algebraic Concepts 2