PSAT Math Multiple-Choice Practice Test 3: Basics Knowledge

1. A group of students sells different types of cookies at a bake sale to raise funds for a school trip. When the students sell two snickerdoodle cookies, s, and seven cinnamon cookies, c, they raise $14.00. When the students sell eight snickerdoodle cookies and three cinnamon cookies, they raise $17.50. Assuming the price per cookie does not change, which of the following equations represents a sale the students could make during the fundraiser?

2. 10(3x + a) - a(4x + 2) = 2a(x + 4)

If the equation above has infinitely many solutions for x, what is the value of a?

3. Laura has a recipe for cake that calls for both eggs and cups of flour. Laura can purchase five eggs and four cups of flour for $5.50 and nine eggs and eight cups of flour for $10.50. Based on these costs, what is the cost of the ten eggs that Laura will need for her recipe?

4. If y = 6x + 3 and y = cx + 3 are the equations of perpendicular lines, then what is the value of c?

B.

C.

5. Line l is shown in the graph above. If line m is parallel to line l, which of the following could be the equation of line m?

A. -3x - 1

B.

C.

D. 3x + 2

6. What is the y-intercept of the line with equation 2x + 3y = 12?

D.

7.

What is the x-intercept of the line in the graph above?

8.

Which of the following could be the equation of the line in the graph above?

9.

Which of the following is the slope of the line in the graph above?

A.

B.

C.

D.

10.

The graph of a line is shown in the xy-plane above. It contains the points (3a, a) and , where a is a positive constant. Which of the following could be the equation of this line?

A. y = x - 2

B. y= x + 2

C. y = x - 2

D. y = x - 2