ASVAB practice #1

The correct answer is 12.

The easiest way is to pick a number for x.

Let’s say x = 3.

3(3) + 5

9 + 5 = 14

3(3) − 7

9 − 7 = 2

The correct answer is: 14 − 2 = 12

The correct answer is 12. A factor must divide evenly into its multiple. We know 12 cannot be a factor of 90 because:

90÷12=7.5

The correct answer is 6. Translate the information in the question from “English” to “Math.”

L = R

L = 3C

R = C + 12

We can substitute R for L in the second equation:

R = 3C. If R is equal to both 3C and C + 12, we can say 3C = C + 12, and solve for C.

3C = C + 12

2C = 12

C = 6

The correct answer is 12. There are 360 degrees in a complete circle, so 360 ÷ 30 = 12 hours to make one full circle. In 6 days there are 24 hours × 6 = 144 hours total. The total number of rotations will be 144 ÷ 12 = 12.

The correct answer is 27p.

3⁸ = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3, or 3⁵ × 3³ = p × 3³

p x 3³ = 27p

The correct answer is -2. When terms with the same variable are in the same equation, they can be combined:

y+3y+5y=−18

9y=−18

The correct answer is  $\frac{1}{4}$  . 

To solve for a, start by multiplying both sides by 4.
 $4\times ab=\frac{b}{4}\times4$  

 $4ab=b$ 

  $\frac{4ab}{b}=\frac{b}{b}$  

 $4a=1$  

 $\frac{4a}{4}=\frac{1}{4}$  

 $a=\frac{1}{4}$  

The correct answer is 140. This word problem requires careful translation.
Let’s say t = total current inventory of chairs.
The first sentence states that $t+50=\frac{3}{2}t$ .

Solve for t.
$2\times\left(t+50\right)=2\times\frac{3}{2}t$

$2t+100=3t$

$2t+100-2t=3t-2t$

$100=t$

The manager wants to increase this by 40%. We know that 40% of 100 is 40, so the new inventory will be 140.

The correct answer is 75. If each book weighs  $\frac{1}{3}$   pound, then 1 pound = 3 books. T

o find the number of books in 25 pounds, simply multiply this 3 by 25:

25×3=75

The correct answer is 6. We can set up a proportion to solve:

$\frac{9\ bottles}{12\ people}=\frac{x\ bottles}{8\ people}$

Cross-multiply to solve a proportion:

(9)(8)=(12)(x)

72=12x

6=x