Digital SAT Math Algebra Practice Flashcards

If 3x + 7 = 22, what is the value of x?

Answer: 5

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

A line passes through the points (2, 5) and (4, 11). What is the slope of the line?

Answer: 3

Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 5)/(4 − 2) = 6/2 = 3.

Which of the following is the solution to the inequality 2x − 4 > 8?

Answer: x > 6

Add 4 to both sides: 2x > 12, then divide by 2: x > 6.

If f(x) = 2x² − 3x + 1, what is f(3)?

Answer: 10

f(3) = 2(3)² − 3(3) + 1 = 2(9) − 9 + 1 = 18 − 9 + 1 = 10.

The equation y = −2x + 6 represents a linear function. What is the y-intercept?

Answer: 6

In slope-intercept form y = mx + b, the y-intercept b = 6.

If 4(x − 2) = 3x + 5, what is the value of x?

Answer: 13

Expand: 4x − 8 = 3x + 5. Subtract 3x: x − 8 = 5. Add 8: x = 13.

Which value of x satisfies both inequalities: x + 3 > 7 and 2x < 12?

Answer: 5

From x + 3 > 7: x > 4. From 2x < 12: x < 6. Only x = 5 satisfies 4 < x < 6.