Practice Test (Algebra 1 End-of-Course) Flashcards

What is the slope of the line passing through the points (2, 5) and (4, 9)?

Answer: 2

Slope = (9 - 5) / (4 - 2) = 4 / 2 = 2.

Solve for x: 3x + 7 = 22

Answer: x = 5

Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.

Which set of ordered pairs represents a function?

Answer: {(1,2),(2,3),(3,4),(4,5)}

A function requires each x-value to map to exactly one y-value; only {(1,2),(2,3),(3,4),(4,5)} satisfies this.

What is the y-intercept of the line y = 3x − 4?

Answer: −4

In slope-intercept form y = mx + b, the y-intercept is b, which is −4.

Simplify: 2³ × 2⁴

Answer: 2⁷

When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.

Which inequality best represents 'x is at most 5'?

Answer: x ≤ 5

'At most 5' means x cannot exceed 5, which is expressed as x ≤ 5.

What is the solution to the system of equations: y = 2x + 1 and y = x + 3?

Answer: (2, 5)

Setting 2x + 1 = x + 3 gives x = 2, and substituting back gives y = 5, so the solution is (2, 5).