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Prealgebra

Practice Test

PrealgebraPractice Test

Practice Test

In the following exercises, translate from an algebraic equation to English phrases.

434.

6⋅46⋅4

435.

15 − x 15 − x

In the following exercises, identify each as an expression or equation.

436.

5 ⋅ 8 + 10 5 ⋅ 8 + 10

437.

x + 6 = 9 x + 6 = 9

438.

3 ⋅ 11 = 33 3 ⋅ 11 = 33

439.
  1. ⓐ Write n⋅n⋅n⋅n⋅n⋅nn⋅n⋅n⋅n⋅n⋅n in exponential form.
  2. ⓑ Write 3535 in expanded form and then simplify.

In the following exercises, simplify, using the order of operations.

440.

4 + 3 ⋅ 5 4 + 3 ⋅ 5

441.

( 8 + 1 ) ⋅ 4 ( 8 + 1 ) ⋅ 4

442.

1 + 6 ( 3 − 1 ) 1 + 6 ( 3 − 1 )

443.

( 8 + 4 ) ÷ 3 + 1 ( 8 + 4 ) ÷ 3 + 1

444.

( 1 + 4 ) 2 ( 1 + 4 ) 2

445.

5 [ 2 + 7 ( 9 − 8 ) ] 5 [ 2 + 7 ( 9 − 8 ) ]

In the following exercises, evaluate each expression.

446.

8 x − 3 when x = 4 8 x − 3 when x = 4

447.

y 3 when y = 5 y 3 when y = 5

448.

6 a − 2 b when a = 5 , b = 7 6 a − 2 b when a = 5 , b = 7

449.

h w when h = 12 , w = 3 h w when h = 12 , w = 3

450.

Simplify by combining like terms.

  1. ⓐ6x+8x6x+8x
  2. ⓑ9m+10+m+39m+10+m+3

In the following exercises, translate each phrase into an algebraic expression.

451.

55 more than xx

452.

the quotient of 1212 and yy

453.

three times the difference of aandbaandb

454.

Caroline has 33 fewer earrings on her left ear than on her right ear. Call the number of earrings on her right ear, r.r. Write an expression for the number of earrings on her left ear.

In the following exercises, solve each equation.

455.

n − 6 = 25 n − 6 = 25

456.

x + 58 = 71 x + 58 = 71

In the following exercises, translate each English sentence into an algebraic equation and then solve it.

457.

1515 less than yy is 32.32.

458.

the sum of aa and 129129 is 164.164.

459.

List all the multiples of 4,4, that are less than 50.50.

460.

Find all the factors of 90.90.

461.

Find the prime factorization of 1080.1080.

462.

Find the LCM (Least Common Multiple) of 2424 and 40.40.

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