West B Test Math: Algebraic Concepts 5

Question 1

What is the rate of change of the linear function represented by the table: x: 1, 3, 5 and y: 4, 10, 16?

Accepted Answer

3

Answer

Rate of change = (10 - 4) / (3 - 1) = 6 / 2 = 3.

Question 2

Which value of x makes the equation 2(x + 5) = 3(x - 1) true?

Accepted Answer

13

Answer

2x + 10 = 3x - 3 → 13 = x.

Question 3

What does the zero of a function represent on its graph?

Accepted Answer

The x-intercept

Answer

The zeros of a function are the x-values where f(x) = 0, which correspond to x-intercepts on the graph.

Question 4

Simplify the expression: 3x²y · 2xy³

Accepted Answer

6x³y⁴

Answer

Multiply coefficients (3 · 2 = 6) and add exponents: x^(2+1) = x³ and y^(1+3) = y⁴, giving 6x³y⁴.

Question 5

A train travels at a constant speed. After 2 hours it has gone 120 miles. Which equation represents the distance d after t hours?

Accepted Answer

d = 60t

Answer

Speed = 120 / 2 = 60 mph, so d = 60t.

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