Resources

Resources

Operations with rational exponents

Which of the following is a whole number?

\newline

\newline

-2

\newline

2.974

\newline

0

\newline

-8

Alfredo's employer withholds

\frac{1}{5}

of his gross wages for federal tax,

\frac{1}{8}

for state tax, and

\frac{1}{10}

for social security. Alfredo's weekly gross pay is

\$720

\newline

What fraction of his gross wages does Alfredo take home?

\newline

1

\frac{23}{40}

\newline

2

\frac{17}{40}

\newline

3

\frac{9}{10}

\newline

4

\frac{7}{8}

\newline

5

\frac{4}{5}

Find four rational numbers between

\newline

\frac{2}{7} \text { to } \frac{8}{21}

\frac{3}{10} \div \frac{9}{8}

Select the expressions that are equivalent to

6(k + 8)

\newline

Multi-select Choices:

\newline

8(k + 6)

\newline

(k + 6)8

\newline

6k + 48

\newline

(k + 8)6

Select the expressions that are equivalent to

7(x + 2)

\newline

Multi-select Choices:

\newline

7x + 14

\newline

(x + 2)7

\newline

(2 + x)7

\newline

7(2x)

x

9-5 \frac{7}{8}=x-\frac{1}{8}

Factorize the quadratic expression:

f(x)=3x^{3}-21x^{2}-54x

\left(\frac{2}{3}-\frac{4}{9}\right)\times 3\left(\frac{2}{5}\right)

What should be subtracted from

68\frac{1}{15}

56\frac{1}{9}

10 \frac{5}{9}-1 \frac{7}{32} \cdot\left(4 \frac{14}{15}+3 \frac{1}{15}\right)=

Which of these points are

5

units away from

(-6,-3)

? Select all that apply.

\newline

Multi-select Choices:

\newline

(-2,-7)

\newline

(-2,0)

\newline

(-3,-7)

\newline

(-9,-1)

Which of these points are

5

units away from

(-6,-3)

? Select all that apply.

\newline

Multi-select Choices:

\newline

(-3,-7)

\newline

(-2,-7)

\newline

(-2,0)

\newline

(-9,-1)

Which expression is equivalent to

8j + 9j

\newline

\newline

j^{17}

\newline

16j

\newline

j + 17

\newline

17j

Select the expressions that are equivalent to

8(w + 1)

\newline

Multi-select Choices:

\newline

8w

\newline

9w

\newline

8w + 8

\newline

(1 + w)8

Select the expressions that are equivalent to

7(7k)

\newline

Multi-select Choices:

\newline

k + 14

\newline

7(5k + 2k)

\newline

7(4k + 3k)

\newline

(7k)7

Select the expressions that are equivalent to

5f + 3f

\newline

Multi-select Choices:

\newline

2f + 6f

\newline

f^8

\newline

f + 8

\newline

7f

\newline

\frac{1}{6} \div \frac{2}{9}=

\newline

\frac{4}{11}\times\square=1

\left(\frac{50 x^{6}}{2 x^{3}}\right)^{2}

What is the slope of the line?

\newline

7x+2y=5

\newline

1

\newline

-\frac{2}{7}

\newline

\frac{7}{2}

\newline

-\frac{7}{2}

\newline

\frac{2}{7}

63 ÷ 3

Complete the equation. Write the sum as a mixed number.

\newline

1 \frac{7}{9}+\frac{1}{5}=\frac{80}{\square}+\frac{9}{\square}=\square \frac{\square}{\square}

Complete the equation. Write the sum as a mixed number.

\newline

\frac{3}{4}+\frac{5}{6}=\frac{18}{\square}+\frac{20}{\square}=\square \frac{\square}{\square}

Complete the equation. Write the sum as a mixed number.

\newline

\frac{7}{5}+\frac{3}{8}=\frac{\square}{40}+\frac{\square}{40}=\square \frac{\square}{\square}

Complete the equation. Write the sum as a mixed number.

\newline

1\frac{7}{9}+\frac{1}{5}=\frac{80}{\Box}+\frac{9}{\Box}=\Box\left(\frac{\Box}{\Box}\right)

Complete the equation. Write the sum as a mixed number.

\newline

2 \frac{1}{2}+\frac{8}{9}=\frac{45}{\square}+\frac{16}{\square}=\square \frac{\square}{\square}

How many groups of

\frac{3}{8}

1

Jan created this

5

\newline

9

lines to create this

6

\newline

How many lines join the dots in Jan's

10

\newline

\text{(A)}\ 35

\newline

\text{(B)}\ 29

\newline

\text{(C)}\ 28

\newline

\text{(D)}\ 26

What is the area of the region bound by the graphs of

f(x)=\sqrt{x-2}

g(x)=14-x

x=2

\newline

1

\newline

\frac{19}{6}

\newline

\frac{99}{2}

\newline

\frac{151}{2}

\newline

\frac{45}{2}

x^{2}-3 x y+y^{3}=3

\newline

Find the value of

\frac{d y}{d x}

(1,2)

\newline

1

\newline

\frac{4}{15}

\newline

\frac{4}{9}

\newline

\frac{15}{4}

\newline

\frac{9}{4}

f^{\prime}(x)=\frac{100}{x^{3}}

f(5)=-14

\newline

f(1)=

f^{\prime}(x)=-\frac{50}{x^{3}}

f(1)=20

\newline

f(5)=

f^{\prime}(x)=-10 x^{4}+8 x^{3}

f(1)=9

\newline

f(0)=

Fernando factored

45y^{6}

(9y^{3})(5y^{3})

\newline

45y^{6}

(3y)(15y^{5})

\newline

Which of them factored

45y^{6}

\newline

1

\newline

(A) Only Fernando

\newline

\newline

(C) Both Fernando and Salma

\newline

(D) Neither Fernando nor Salma

\frac{8 c^{3}}{6(c+d)} \div \frac{2 c^{2}}{3 c+3 d}

\newline

5 \cdot 10-(6 \cdot 4-10)+20 \div 2

\left(\frac{8}{20}\right)\left(\frac{7}{19}\right)\left(\frac{6}{18}\right)

Find the sum of the first

9

terms of the following geometric series.

\newline

\frac{1}{48}-\frac{1}{12}+\frac{1}{3}-\ldots

\newline

\square

Find the value of

\diamond

\newline

(7^{\diamond})^{6})^{2}=7^{-36}

\newline

\diamond = \square

\newline

\frac{9(11-7)-6}{5^{2}-10}

\newline

2 \frac{5}{6} \div 2 \frac{3}{7}= \_\_\_\_\_

Solve the equation

\frac{1}{2}(16 x-6)=2

\newline

\frac{1}{2}

\newline

\frac{3}{5}

\newline

\frac{5}{8}

\newline

\frac{7}{10}

\left(\frac{9}{5} \times \frac{4}{3}\right)+\left(\frac{6}{5} \times \frac{4}{3}\right)+\left(\frac{4}{5} \times \frac{1}{3}\right)+\left[\left(\frac{-2}{5}\right) \times\left(\frac{4}{3}\right)\right]

Which fraction, when converted, is a repeating decimal?

\newline

\frac{3}{8}

\newline

\frac{11}{25}

\newline

\frac{2}{5}

\newline

\frac{5}{7}

\left.\left(\frac{7}{4} \times \frac{5}{8}\right)+(\frac{7}{4} \times \frac{1}{2}\right)=

36 t^{7} \div 9 t^{3} =

\frac{3}{7}+\left(\frac{-6}{11}\right)+\left(\frac{-8}{21}\right)+\left(\frac{5}{22}\right)

Simplify to eliminate all unnecessary exponents.

\frac{8^{2} \cdot 5^{-4} \cdot 8^{5}}{8^{8}}

Find the value of

\diamond

\newline

\left(\frac{5^{2}}{5^{\diamond}}\right)^{3}=5^{24}

...