# PSAT 8/9 Math Grid-Ins Practice Test 1

**1.** The function *f*(*x*) = –3*x* – 2 is graphed in the *xy*-plane. Line *b* is perpendicular to function *f.* What is the slope of line *b*?

**2.** What value of *g* satisfies the equation –8(*g* – 3) = –2*g* + 6?

**3.** If 5*x*^{2} *=* 125, what could be the value of *5x*?

**4.** Charlie uses apple juice and cherry juice to make a punch for his birthday party. The expression 1.9*a* + 2.2*c* = 13.9 models the recipe Charlie uses to make the punch, where *a* and *c* are the volumes, in liters, of apple juice and cherry juice, respectively. How many liters of cherry juice does Charlie need for the recipe if he uses 5 liters of apple juice?

**5.**

0.5 milliliters | essential oil |

0.16 liters | rubbing alcohol |

0.06 liters | aloe vera gel |

One batch of hand sanitizer can be created using the materials and amounts listed in the table above. A single dose of hand sanitizer is 0.5 ounces and one batch of this recipe makes 4 doses.

Jack used *d*% of one batch of the hand sanitizer. If this amount contained 0.25 milliliters of essential oil, what is the value of *d*?

**6.**

0.5 milliliters | essential oil |

0.16 liters | rubbing alcohol |

0.06 liters | aloe vera gel |

One batch of hand sanitizer can be created using the materials and amounts listed in the table above. A single dose of hand sanitizer is 0.5 ounces and one batch of this recipe makes 4 doses.

How many liters of rubbing alcohol are in one dose of this hand sanitizer?

**7.** *q*(*x*) = – *x* + 12

Given the function above, what value of *c* will make *q*(*c*) equal to 6?

### Test Information

- 7 questions
- 10 minutes
- See All test questions

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