# 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?

*s*+ 3

*c*= $8.00

*s*+ 6

*c*= $16.25

*s*+ 5

*c*= $17.36

*s*+ 7

*c*= $24.50

**2.** 10(3*x* + *a*) - *a*(4*x* + 2) = 2*a*(*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* = 6*x* + 3 and *y* = *cx* + 3 are the equations of perpendicular lines, then what is the value of *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*?

*x*- 1

*x*+ 2

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

**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?

*y*-

*x*= -8

*y*+

*x*= -8

*y*- 3

*x*= 8

*y*+

*x*= 8

**9.**

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

**10.**

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

*y*=

*x*- 2

*y*=

*x*+ 2

*y*=

*x*- 2

*y*=

*x*- 2

### Test Information

- 10 questions
- 15 minutes
- See All test questions

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