Digital SAT Math Practice Flashcards

If 5y − 3 = 2y + 9, what is the value of y?

Answer: 4

Combining like terms: 3y = 12, so y = 4.

In a class, the ratio of boys to girls is 3:5. If there are 24 boys, how many students are in the class total?

Answer: 64

If 3 parts = 24, each part = 8 girls. Total parts = 8, so total students = 8 × 8 = 64.

What are the solutions to 2x² − 8 = 0?

Answer: x = 2 or x = −2

2x² = 8 → x² = 4 → x = ±2.

The angles of a triangle measure x°, (x + 20)°, and (x + 40)°. What is the value of x?

Answer: 40

The angles sum to 180°: 3x + 60 = 180, so 3x = 120 and x = 40.

A linear function passes through (0, −3) and has a slope of 2. Which equation represents this function?

Answer: y = 2x − 3

Using slope-intercept form with m = 2 and b = −3: y = 2x − 3.

The table below shows the number of hours 4 employees worked: 35, 40, 45, and 40. What is the mean number of hours worked?

Answer: 40

Mean = (35 + 40 + 45 + 40)/4 = 160/4 = 40.

Which expression is equivalent to x²·x⁵?

Answer: x⁷

When multiplying powers with the same base, add the exponents: x^(2+5) = x⁷.