The study guides for this practice quiz can be found at:

- Algebra and Probability Study Guide 1 for McGraw-Hill's ASVAB
- Algebra and Probability Study Guide 2 for McGraw-Hill's ASVAB

Circle the letter that represents the best or correct answer. If any of your answers were wrong, go back and study the relevant section of the algebra review.

- The phrase "some number plus 20" is the same as
*j*+ 20*j*– 20*j*× 20

- Evaluate:
*a*+ 2(*b*) –*c*if*a*= 5,*b*= 3, and*c*= 2- 7
- 9
- 10
- 11

- Solve for
*z*: 32 + –*z*= 12- 20
- –12
- 12
- –20

- The proportion "
*a*is to*b*is as 3 is to 6" can be represented as*a*+*b*= 3 + 6*a*×*b*= 3 × 6 + 45*a*(3) +*b*(6)

- Solve for each variable.
*y*+*g*= 12 and 2*y*+ 3*g*= 16

*g*= 15,*y*= —3*g*= 5,*y*= 7*g*= 1,*y*= 11*g*= –8,*y*= 20

- Add:
- –45
*g* - 45
*g* - 45
*g*^{2} - 135
*g*

- –45
- Subtract:
- –230
- –30
- 30
- 230

- Multiply: (
*g*^{3})(*g*^{12})*g*^{–3}*g*^{15}*g*^{–15}*g*^{36}

- Add:
*g*^{2}+*gh*+*h*^{2}+ 3*g*^{2}+ 4*gh*+ 3*h*^{2}=

- 2
*g*^{2}+ 3*gh*+ 2*h*^{2} - 2
*g*^{2}+ 5*gh*+ 4*h*^{2} - 4
*g*^{2}+ 5*gh*+ 4*h*^{2} - 4
*g*^{2}+ 3*gh*+ 2*h*^{2}

- Multiply:
- 3
*h*– 2*m*

- × 2
*h*+*m*

- 5
*h*^{2}+ 3*m*^{2} - 6
*h*^{2}–*hm*– 2*m*^{2} - 6
*h*^{2}+ 5*hm*+ 2*m*^{2} - 6
*h*^{2}+ 4*hm*+ 2*m*^{2}

- 3
- Factor:
*x*^{2}+ 4*x*– 12- (2
*x*^{2}+ 1 + 6)(–*x*^{2}+ 3*x*– 2) - (
*x*+ 6)(*x*– 2) - (
*x*+ 4)(*x*+ 3) - (
*x*^{2}+ 2)(*x*^{–2}+ 4)

- (2
- Reduce to lowest terms:
*x*– 2- _

- Multiply:
- Divide:
- Which equation is represented by the following graph?
- 2
*x*+*y*= 0 *x*^{2}+ 1 = 0*x*+*y*= 5- 2
*x*+*y*= 7

- 2
- Using a number cube with sides labeled 1 through 6, what is the probability of throwing a 3 or a 4?
- 2 in 4
- 1 in 3
- 2 in 8
- 1 in 9

### Answers

From ASVAB: Armed Services Vocational Aptitude Battery. Copyright © 2009, 2006 by The McGraw-Hill Companies, Inc. All Rights Reserved.

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