Simplify and Use Square Roots

$0.8$

$0.375$

$0.007$

$5.24$

$\mathrm{-12.5632}$

$\mathrm{-4.09}$

three tenths

nine hundredths

twenty-seven hundredths

ten and thirty-five thousandths

negative twenty and three tenths

negative five hundredths

$0.43$

$0.825$

$9.7$

$3.64$

ⓐ $0.6$

ⓑ $\mathrm{-0.9}$

ⓒ $2.2$

ⓓ $\mathrm{-1.3}$

$0.6\_\_\_0.8$

$0.2\_\_\_0.15$

$0.803\_\_\_\_0.83$

$\mathrm{-0.56}\_\_\_\_\mathrm{-0.562}$

$12.529$

$4.8447$

$5.897$

$5.75+8.46$

$32.89-8.22$

$24-19.31$

$10.2+14.631$

$\mathrm{-6.4}+(\mathrm{-2.9})$

$1.83-4.2$

$(0.3)(0.7)$

$(\mathrm{-6.4})(0.25)$

$(\mathrm{-3.35})(\mathrm{-12.7})$

$(15.4)(1000)$

$0.48÷6$

$4.32÷24$

$\text{\$6.29}÷12$

$(\mathrm{-0.8})÷(\mathrm{-0.2})$

$1.65÷0.15$

$9÷0.045$

Miranda got $\text{\$40}$ from her ATM. She spent $\text{\$9.32}$ on lunch and $\text{\$16.99}$ on a book. How much money did she have left? Round to the nearest cent if necessary.

Jessie put $8$ gallons of gas in her car. One gallon of gas costs $\text{\$3.528.}$ How much did Jessie owe for all the gas?

A pack of $16$ water bottles cost $\text{\$6.72.}$ How much did each bottle cost?

Alice bought a roll of paper towels that cost $\text{\$2.49.}$ She had a coupon for $\text{\$0.35}$ off, and the store doubled the coupon. How much did Alice pay for the paper towels?

$\frac{3}{5}$

$\frac{7}{8}$

$-\frac{19}{20}$

$-\frac{21}{4}$

$\frac{1}{3}$

$\frac{6}{11}$

$\frac{1}{2}\_\_\_0.2$

$\frac{3}{5}\_\_\_0.$

$-\frac{7}{8}\_\_\_\mathrm{-0.84}$

$-\frac{5}{12}\_\_\_\mathrm{-0.42}$

$0.625\_\_\_\frac{13}{20}$

$0.33\_\_\_\frac{5}{16}$

$\frac{2}{3},\frac{17}{20},0.65$

$\frac{7}{9},0.75,\frac{11}{15}$

$4(10.3-5.8)$

$\frac{3}{4}(15.44-7.4)$

$30÷(0.45+0.15)$

$1.6+\frac{3}{8}$

$52(0.5)+{(0.4)}^2$

$-\frac{2}{5}·\frac{9}{10}+0.14$

$\text{radius}=\text{6 in.}$

$\text{radius}=\text{3.5 ft.}$

$\text{radius}=\frac{7}{33}\text{m}$

$\text{diameter}=\text{11 cm}$

$x-0.4=2.1$
ⓐ $x=1.7$ ⓑ $x=2.5$

$y+3.2=\mathrm{-1.5}$
ⓐ $y=1.7$ⓑ $y=\mathrm{-4.7}$

$\frac{u}{2.5}=\mathrm{-12.5}$
ⓐ $u=\mathrm{-5}$ⓑ $u=\mathrm{-31.25}$

$0.45v=\mathrm{-40.5}$
ⓐ $v=\mathrm{-18.225}$ⓑ $v=\mathrm{-90}$

$m+3.8=7.5$

$h+5.91=2.4$

$a+2.26=\mathrm{-1.1}$

$p-4.3=\mathrm{-1.65}$

$x-0.24=\mathrm{-8.6}$

$j-7.42=\mathrm{-3.7}$

$0.6p=13.2$

$\mathrm{-8.6}x=34.4$

$\mathrm{-22.32}=\mathrm{-2.4}z$

$\frac{a}{0.3}=\mathrm{-24}$

$\frac{p}{\mathrm{-7}}=\mathrm{-4.2}$

$\frac{s}{\mathrm{-2.5}}=\mathrm{-10}$

The difference of $n$ and $15.2$ is $4.4.$

The product of $\mathrm{-5.9}$ and $x$ is $\mathrm{-3.54}.$

The quotient of $y$ and $\mathrm{-1.8}$ is $\mathrm{-9}.$

The sum of $m$ and $(\mathrm{-4.03})$ is $6.8.$

$2,4,1,0,1,\text{and}1$

$\text{\$270}$, $\text{\$310.50}$, $\text{\$243.75}$, and$\text{\$252.15}$

Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited $3,0,8,1,\text{and}8$ minutes. Find the mean.

In the last three months, Raul’s water bills were $\text{\$31.45},\text{\$48.76},\text{and}\text{\$42.60}.$ Find the mean.

$41$, $45$, $32$, $60$, $58$

$25$, $23$, $24$, $26$, $29$, $19$, $18$, $32$

The ages of the eight men in Jerry’s model train club are $52,63,45,51,55,75,60,\text{and}59.$ Find the median age.

The number of clients at Miranda’s beauty salon each weekday last week were $18,7,12,16,\text{and}20.$ Find the median number of clients.

$6$, $4$, $4,5$, $6,6$, $4$, $4$, $4$, $3$, $5$

The number of siblings of a group of students: $2$, $0$, $3$, $2$, $4$, $1$, $6$, $5$, $4$, $1$, $2$, $3$

The Sustainability Club sells $200$ tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.

Luc has to read $3$ novels and $12$ short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.

$28$ to $40$

$56$ to $32$

$3.5$ to $0.5$

$1.2$ to $1.8$

$1\frac{3}{4}\text{to}1\frac{5}{8}$

$2\frac{1}{3}\text{to}5\frac{1}{4}$

$64$ ounces to $30$ ounces

$28$ inches to $3$ feet

$180$ calories per $8$ ounces

$90$ pounds per $7.5$ square inches

$126$ miles in $4$ hours

$\text{\$612.50}$ for $35$ hours

$180$ calories per $8$ ounces

$90$ pounds per $7.5$ square inches

$126$ miles in $4$ hours

$\text{\$612.50}$ for $35$ hours

t-shirts: $3$ for $\text{\$8.97}$

Highlighters: $6$ for $\text{\$2.52}$

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.

Shampoo: $12$ ounces for $\text{\$4.29}$ or $22$ ounces for $\text{\$7.29}?$

Vitamins: $60$ tablets for $\text{\$6.49}$ or $100$ for $\text{\$11.99}?$

$535$ miles per $h\text{hours}$

$a$ adults to $45$ children

the ratio of $4y$ and the difference of $x$ and $10$

the ratio of $19$ and the sum of $3$ and $n$

$\sqrt{64}$

$\sqrt{144}$

$-\sqrt{25}$

$-\sqrt{81}$

$\sqrt{\mathrm{-9}}$

$\sqrt{\mathrm{-36}}$

$\sqrt{64}+\sqrt{225}$

$\sqrt{64+225}$

$\sqrt{28}$

$\sqrt{155}$

$\sqrt{15}$

$\sqrt{57}$

$\sqrt{q^2}$

$\sqrt{64b^2}$

$-\sqrt{121a^2}$

$\sqrt{225m^2{n}^2}$

$-\sqrt{100q^2}$

$\sqrt{49y^2}$

$\sqrt{4a^2{b}^2}$

$\sqrt{121c^2{d}^2}$

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?

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?