PSAT 8/9 Math Grid-Ins Practice Test 1

1. The function f(x) = –3x – 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) = –2g + 6?

3. If 5x2 = 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 1.9a + 2.2c = 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 millilitersessential oil
0.16 litersrubbing alcohol
0.06 litersaloe 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 millilitersessential oil
0.16 litersrubbing alcohol
0.06 litersaloe 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?

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