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

What is the median of the data set: 4, 7, 9, 2, 8, 5, 7?

Answer: 7

Arranged in order: 2, 4, 5, 7, 7, 8, 9 — the middle value (4th of 7) is 7.

A scatter plot shows a negative correlation. As x increases, what happens to y?

Answer: y decreases

A negative correlation means that as x increases, y decreases — the data trends downward from left to right.

Solve for x: |2x − 3| = 7

Answer: x = 5 or x = −2

Setting 2x − 3 = 7 gives x = 5, and setting 2x − 3 = −7 gives x = −2, so both are solutions.

A car rental costs $25 per day plus $0.15 per mile. Which equation represents total cost C for d days and m miles?

Answer: C = 25d + 0.15m

The daily rate applies to d days and the per-mile rate applies to m miles: C = 25d + 0.15m.

What is f(3) if f(x) = 2x² − x + 4?

Answer: 19

f(3) = 2(3²) − 3 + 4 = 2(9) − 3 + 4 = 18 − 3 + 4 = 19.

In a right triangle, one leg measures 6 and the hypotenuse measures 10. What is the length of the other leg?

Answer: 8

Using the Pythagorean theorem: a² + 6² = 10², so a² = 100 − 36 = 64, and a = 8.

Which of the following is NOT a linear equation?

Answer: y = x²

y = x² is a quadratic equation because the variable x is raised to the second power, not a linear equation.