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Practice Test

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

434.

$6 \cdot 4 6 \cdot 4$

435.

$15 - x 15 - x$

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

436.

$5 \cdot 8 + 10 5 \cdot 8 + 10$

437.

$x + 6 = 9 x + 6 = 9$

438.

$3 \cdot 11 = 33 3 \cdot 11 = 33$

439.

ⓐ Write $n \cdot n \cdot n \cdot n \cdot n \cdot n n \cdot n \cdot n \cdot n \cdot n \cdot n$ in exponential form.
ⓑ Write $3^{5} 3^{5}$ in expanded form and then simplify.

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

440.

$4 + 3 \cdot 5 4 + 3 \cdot 5$

441.

$(8 + 1) \cdot 4 (8 + 1) \cdot 4$

442.

$1 + 6 (3 - 1) 1 + 6 (3 - 1)$

443.

$(8 + 4) \div 3 + 1 (8 + 4) \div 3 + 1$

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.

$8 x - 3 when x = 4 8 x - 3$

447.

$y^{3} when y = 5 y^{3}$

448.

$6 a - 2 b when a = 5, b = 7 6 a - 2 b$

449.

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

450.

Simplify by combining like terms.

ⓐ $6 x + 8 x 6 x + 8 x$
ⓑ $9 m + 10 + m + 3 9 m + 10 + m + 3$

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

451.

$55$ more than $x x$

452.

the quotient of $1212$ and $y y$

453.

three times the difference of $a and b a$

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 $y y$ is $32 . 32 .$

458.

the sum of $a a$ 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 $40 . 40 .$