GED - General Educational Development Mathematical Reasoning Algebra and Functions 1

Question 1

Solve for x: 2x + 9 = 25

Accepted Answer

x = 8

Answer

Subtract 9 from both sides to get 2x = 16, then divide both sides by 2 to get x = 8.

Question 2

What is the slope of the line represented by the equation 3x − 6y = 12?

Accepted Answer

1/2

Answer

Rewrite in slope-intercept form: −6y = −3x + 12, so y = (1/2)x − 2. The coefficient of x is the slope, which is 1/2.

Question 3

Factor the expression completely: x² − 9

Accepted Answer

(x + 3)(x − 3)

Answer

x² − 9 is a difference of squares (a² − b² = (a+b)(a−b)), where a = x and b = 3, giving (x + 3)(x − 3).

Question 4

If g(x) = 3x² − 2x + 1, what is g(−1)?

Accepted Answer

6

Answer

Substitute −1 for x: g(−1) = 3(−1)² − 2(−1) + 1 = 3(1) + 2 + 1 = 6.

Question 5

Which value of x satisfies the inequality 2x − 5 > 7?

Accepted Answer

x = 7

Answer

Add 5 to both sides: 2x > 12, then divide by 2: x > 6. Only x = 7 is greater than 6.

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