SAT Math: Algebra Practice Quiz

Question 1

If 5x - 3 = 2x + 12, what is the value of x?

Accepted Answer

5

Question 2

The function f(x) = 3x + 8 models the total cost, in dollars, of renting a bike for x hours. What does the number 8 represent?

Accepted Answer

The initial rental fee

Question 3

A student has scores of 78, 85, and 90 on three tests. What is the minimum score needed on the fourth test to have an average of at least 85?

Accepted Answer

87

Question 4

A line passes through the points (2, 5) and (6, 17). What is the equation of the line in slope-intercept form?

Accepted Answer

y = 3x - 1

Question 5

At a bakery, 3 muffins and 2 coffees cost $16.00. One muffin and 4 coffees cost $14.50. What is the cost of one coffee?

Accepted Answer

$2.75

Question 6

The model P = 25000 + 1200t gives the population P of a town, where t is the number of years after 2020. What does the number 1200 represent in this model?

Accepted Answer

The annual population increase

Question 7

For what value of a does the system of equations 2x + ay = 6 and x + 3y = 4 have no solution?

Accepted Answer

6

Question 8

A concert sells standard tickets for $12 and VIP tickets for $20. A total of 340 tickets were sold, and total revenue was $5,176. How many VIP tickets were sold?

Accepted Answer

137

Question 9

Find all values of x that satisfy 2 < 3 - (x - 4)/2 <= 7.

Accepted Answer

-4 <= x < 6

Question 10

In a materials lab, signal strength S (as a percent) after passing through d millimeters of shielding is modeled by S = 92 - 1.4d. Which statement is correct?

Accepted Answer

The signal starts at 92% and decreases by 1.4 percentage points per millimeter; it falls below 75% when d > 12.1 mm.