### Practice Test

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

$6\cdot 4$

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

$5\cdot 8+10$

$3\cdot 11=33$

- ⓐ 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.

$4+3\cdot 5$

$1+6(3-1)$

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

In the following exercises, evaluate each expression.

$8x-3\phantom{\rule{0.2em}{0ex}}\text{when}\phantom{\rule{0.2em}{0ex}}x=4$

$6a-2b\phantom{\rule{0.2em}{0ex}}\text{when}\phantom{\rule{0.2em}{0ex}}a=5,b=7$

Simplify by combining like terms.

- ⓐ$6x+8x$
- ⓑ$9m+10+m+3$

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

the quotient of $12$ and $y$

three times the difference of $a\phantom{\rule{0.2em}{0ex}}\text{and}\phantom{\rule{0.2em}{0ex}}b$

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.

$x+58=71$

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

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

Find all the factors of $90.$

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