<< Chapter < Page | Chapter >> Page > |
$180$ calories per $8$ ounces
$90$ pounds per $7.5$ square inches
$\frac{90\phantom{\rule{0.2em}{0ex}}\text{pounds}}{7.5\phantom{\rule{0.2em}{0ex}}\text{square inches}}$
$126$ miles in $4$ hours
$\text{\$612.50}$ for $35$ hours
$\frac{\text{\$612.50}}{35\phantom{\rule{0.2em}{0ex}}\text{hours}}$
Find Unit Rates
In the following exercises, find the unit rate.
$180$ calories per $8$ ounces
$126$ miles in $4$ hours
Find Unit Price
In the following exercises, find the unit price.
t-shirts: $3$ for $\text{\$8.97}$
An office supply store sells a box of pens for $\text{\$11}.$ The box contains $12$ pens. How much does each pen cost?
Anna bought a pack of $8$ kitchen towels for $\text{\$13.20}.$ How much did each towel cost? Round to the nearest cent if necessary.
$1.65
In the following exercises, find each unit price and then determine the better buy.
Shampoo: $12$ ounces for $\text{\$4.29}$ or $22$ ounces for $\text{\$7.29}?$
Vitamins: $60$ tablets for $\text{\$6.49}$ or $100$ for $\text{\$11.99}?$
$0.11, $0.12; 60 tablets for $6.49
Translate Phrases to Expressions with Fractions
In the following exercises, translate the English phrase into an algebraic expression.
$535$ miles per $h\phantom{\rule{0.2em}{0ex}}\text{hours}$
$a$ adults to $45$ children
$\frac{a\phantom{\rule{0.2em}{0ex}}\text{adults}}{45\phantom{\rule{0.2em}{0ex}}\text{children}}$
the ratio of $4y$ and the difference of $x$ and $10$
the ratio of $19$ and the sum of $3$ and $n$
$\frac{19}{3+n}$
Simplify Expressions with Square Roots
In the following exercises, simplify.
$\sqrt{64}$
$-\sqrt{25}$
$\sqrt{\mathrm{-9}}$
$\sqrt{64}+\sqrt{225}$
Estimate Square Roots
In the following exercises, estimate each square root between two consecutive whole numbers.
$\sqrt{28}$
Approximate Square Roots
In the following exercises, approximate each square root and round to two decimal places.
$\sqrt{15}$
Simplify Variable Expressions with Square Roots
In the following exercises, simplify. (Assume all variables are greater than or equal to zero.)
$\sqrt{{q}^{2}}$
$-\sqrt{121{a}^{2}}$
$-\sqrt{100{q}^{2}}$
$\sqrt{4{a}^{2}{b}^{2}}$
Use Square Roots in Applications
In the following exercises, solve. Round to one decimal place.
Art Diego has $225$ square inch tiles. He wants to use them to make a square mosaic. How long can each side of the mosaic be?
Landscaping Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of $30$ square feet. How long can a side of the flower garden be?
5.5 feet
Gravity A hiker dropped a granola bar from a lookout spot $576$ feet above a valley. How long did it take the granola bar to reach the valley floor?
Accident investigation The skid marks of a car involved in an accident were $216$ feet. How fast had the car been going before applying the brakes?
72 mph
Write six and thirty-four thousandths as a decimal.
Write $\frac{5}{8}$ as a decimal.
Round $16.749$ to the nearest ⓐ tenth ⓑ hundredth ⓒ whole number
Write the numbers $\frac{4}{5},\mathrm{-0.1},0.804,\frac{2}{9},\mathrm{-7.4},0.21$ in order from smallest to largest.
In the following exercises, simplify each expression.
$20-5.71$
$(\mathrm{-4.2})(100)$
$\mathrm{-5}\xf70.025$
${(0.7)}^{2}$
$4(10.3-5.8)$
$\frac{2}{3}(14.65-4.6)$
In the following exercises, solve.
$\frac{h}{0.5}=4.38$
$1.94=a-2.6$
Three friends went out to dinner and agreed to split the bill evenly. The bill was $\text{\$79.35}.$ How much should each person pay?
$26.45
A circle has radius $12.$ Find the ⓐ circumference and ⓑ area. $\text{[}\text{Use}\phantom{\rule{0.2em}{0ex}}3.14\phantom{\rule{0.2em}{0ex}}\text{for}\phantom{\rule{0.2em}{0ex}}\pi \text{.]}$
The ages, in months, of
$10$ children in a preschool class are:
$55$ ,
$55$ ,
$50$ ,
$51$ ,
$52$ ,
$50$ ,
$53$ ,
$51$ ,
$55$ ,
$49$
Find the
ⓐ mean
ⓑ median
ⓒ mode
Of the $16$ nurses in Doreen’s department, $12$ are women and $4$ are men. One of the nurses will be assigned at random to work an extra shift next week. ⓐ Find the probability a woman nurse will be assigned the extra shift. ⓑ Convert the fraction to a decimal.
Find each unit price and then the better buy.
Laundry detergent:
$64$ ounces for
$\text{\$10.99}$ or
$48$ ounces for
$\text{\$8.49}$
64 ounces for $10.99 is the better buy
In the following exercises, simplify.
$\sqrt{36+64}$
Estimate $\sqrt{54}$ to between two whole numbers.
Yanet wants a square patio in her backyard. She has $225$ square feet of tile. How long can a side of the patio be?
15 feet
Notification Switch
Would you like to follow the 'Prealgebra' conversation and receive update notifications?