GED Mathematical Reasoning Algebra and Functions 4

Question 1

A function is defined as g(x) = -2x + 7. For what value of x does g(x) = 1?

Accepted Answer

x = 3

Answer

-2x + 7 = 1 → -2x = -6 → x = 3.

Question 2

Which table of values represents a linear function?

Accepted Answer

x: 0,1,2,3 → y: 2,5,8,11

Answer

A linear function has a constant rate of change; y increases by 3 for each increase of 1 in x.

Question 3

Simplify: (3x² - 5x + 2) - (x² + 2x - 4)

Accepted Answer

2x² - 7x + 6

Answer

Distribute the negative: 3x² - 5x + 2 - x² - 2x + 4 = 2x² - 7x + 6.

Question 4

Solve the system: y = 2x + 1 and y = -x + 7. What is the value of x?

Accepted Answer

x = 2

Answer

Set equal: 2x + 1 = -x + 7 → 3x = 6 → x = 2.

Question 5

What is the vertex of the parabola y = (x - 3)² + 5?

Accepted Answer

(3, 5)

Answer

In vertex form y = (x - h)² + k, the vertex is (h, k) = (3, 5).

GED Practice Test