Practice Test

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

434.

$6 \cdot 4$

435.

$15 - x$

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

436.

$5 \cdot 8 + 10$

437.

$x + 6 = 9$

438.

$3 \cdot 11 = 33$

439.

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

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

440.

$4 + 3 \cdot 5$

441.

$(8 + 1) \cdot 4$

442.

$1 + 6 (3 - 1)$

443.

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

444.

${(1 + 4)}^{2}$

445.

$5 [2 + 7 (9 - 8)]$

In the following exercises, evaluate each expression.

446.

$8 x - 3 when x = 4$

447.

$y^{3} when y = 5$

448.

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

449.

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

450.

Simplify by combining like terms.

ⓐ $6 x + 8 x$
ⓑ $9 m + 10 + m + 3$

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

451.

$5$ more than $x$

452.

the quotient of $12$ and $y$

453.

three times the difference of $a and b$

454.

Caroline has $3$ fewer earrings on her left ear than on her right ear. Call the number of earrings on her right ear, $r .$ Write an expression for the number of earrings on her left ear.

In the following exercises, solve each equation.

455.

$n - 6 = 25$

456.

$x + 58 = 71$

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

457.

$15$ less than $y$ is $32 .$

458.

the sum of $a$ and $129$ is $164 .$

459.

List all the multiples of $4$ that are less than $50 .$

460.

Find all the factors of $90 .$

461.

Find the prime factorization of $1080 .$

462.

Find the LCM (Least Common Multiple) of $24$ and $40 .$