BSEP Algebraic Concepts 3

Question 1

Which of the following is NOT a linear equation?

Accepted Answer

y = x² + 4

Answer

y = x² + 4 is a quadratic equation because it contains x raised to the second power.

Question 2

Simplify: 3x + 2y - x + 5y

Accepted Answer

2x + 7y

Answer

Combine like terms: (3x - x) + (2y + 5y) = 2x + 7y.

Question 3

If f(x) = 3x - 2, what is f(4)?

Accepted Answer

10

Answer

Substitute x = 4: f(4) = 3(4) - 2 = 12 - 2 = 10.

Question 4

What is the y-intercept of the line y = 5x - 8?

Accepted Answer

-8

Answer

In slope-intercept form y = mx + b, the y-intercept b equals -8.

Question 5

Solve: 2(x - 3) = 10

Accepted Answer

8

Answer

Divide both sides by 2: x - 3 = 5, then add 3: x = 8.

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