Keystone Test Algebra: Linear Equations/Inequalities 4

Question 1

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 − 5) / (6 − 2) = 8 / 4 = 2.

Question 2

If −3x + 2 ≤ 14, which describes the solution?

Accepted Answer

x ≥ −4

Answer

Subtract 2: −3x ≤ 12; divide by −3 and flip the inequality: x ≥ −4.

Question 3

A store sells notebooks for $2.50 each. Sarah has $20 to spend. Which inequality models the number of notebooks n she can buy?

Accepted Answer

2.50n ≤ 20

Answer

Sarah can spend at most $20, so the total cost 2.50n must be less than or equal to 20.

Question 4

Solve for x: 7x − 4 = 3x + 16

Accepted Answer

x = 5

Answer

Subtract 3x from both sides: 4x − 4 = 16; add 4: 4x = 20; divide: x = 5.

Question 5

Which point lies on the line y = −2x + 8?

Accepted Answer

(4, 0)

Answer

Substituting x = 4: y = −2(4) + 8 = −8 + 8 = 0, so (4, 0) is on the line.

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