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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