West B Test Math: Algebraic Concepts 3

Question 1

What is the y-intercept of the line y = -4x + 7?

Accepted Answer

7

Answer

In slope-intercept form y = mx + b, the y-intercept b = 7.

Question 2

Simplify: (x³ · x⁴) / x²

Accepted Answer

x⁵

Answer

x³ · x⁴ = x⁷, then x⁷ / x² = x⁵ using the quotient rule.

Question 3

A number is 4 less than twice another number. If their sum is 20, what is the larger number?

Accepted Answer

12

Answer

Let n = smaller; 2n - 4 + n = 20 → 3n = 24 → n = 8, so the larger is 2(8)-4 = 12.

Question 4

Which property justifies the step: 3(x + 2) = 3x + 6?

Accepted Answer

Distributive property

Answer

Multiplying 3 across the sum (x + 2) applies the distributive property.

Question 5

What is the solution set of |x - 3| = 5?

Accepted Answer

{-2, 8}

Answer

x - 3 = 5 gives x = 8, and x - 3 = -5 gives x = -2, so the solution set is {-2, 8}.

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