6 Applied Pre-Algebra Practice Free Online FlashCards

After spending $\frac{2}{5}$ of $\$90$, how much remains?

The student spends $\frac{2}{5}(90)=\$36$, so $\$90-\$36=\$54$ remains.

How do you find $p\%$ of a quantity $B$?

Convert the percent to a decimal and multiply by the quantity: $p\%$ of $B$ is $\frac{p}{100}B$.

What is the total after a $25\%$ discount and $8\%$ tax on a $\$48$ item?

The discount is $0.25(48)=\$12$, leaving $\$36$. Tax is $0.08(36)=\$2.88$, so the total is $\$38.88$.

What does a ratio compare, and what must its order preserve?

A ratio compares quantities by division. Write the quantities in the same order and use compatible units; for example, concentrate to water is $2:5$, or $\frac{2}{5}$.

What is a proportion, and how can you solve one?

A proportion states that two ratios are equal, such as $\frac{a}{b}=\frac{c}{d}$. Multiply across, then isolate the unknown.

How much broth matches $6$ cups of rice at a rice-to-broth ratio of $2:3$?

Set the ratios in the same order: $\frac{2}{3}=\frac{6}{x}$. Cross-multiplying gives $2x=18$, so $x=9$ cups of broth.

How do you keep an equation balanced while solving?

Keep an equation balanced by doing the same operation to both sides.

An $\$8$ fee plus $\$2.50$ per item totals $\$28$. How many items?

Let $n$ be the number of items: $8+2.50n=28$. Solving gives $n=8$ items.

How many pages have been read in a $60$-page book that is $\frac{3}{4}$ finished?

A $60$-page book that is $\frac{3}{4}$ finished has $\frac{3}{4}(60)=45$ pages read.

What is the pre-tax price of a $\$75$ jacket discounted by $20\%$?

The discount is $0.20(75)=\$15$, so the price before tax is $\$75-\$15=\$60$.

$30$ is $40\%$ of what number?

$30=0.40x$, so $x=\frac{30}{0.40}=75$.

A taxi charges $\$4$ plus $\$2$ per mile. What distance gives a $\$22$ fare?

Let $d$ be the miles: $4+2d=22$. Subtracting $4$ and dividing by $2$ gives $d=9$ miles.