Resources

Resources

Operations with rational exponents

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

Select the expressions that are equivalent to

6(k + 8)

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Multi-select Choices:

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8(k + 6)

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(k + 6)8

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6k + 48

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(k + 8)6

Select the expressions that are equivalent to

7(x + 2)

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Multi-select Choices:

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7x + 14

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(x + 2)7

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(2 + x)7

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7(2x)

x

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

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.

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Multi-select Choices:

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(-2,-7)

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(-2,0)

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(-3,-7)

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(-9,-1)

Which of these points are

5

units away from

(-6,-3)

? Select all that apply.

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Multi-select Choices:

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(-3,-7)

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(-2,-7)

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(-2,0)

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(-9,-1)

Which expression is equivalent to

8j + 9j

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j^{17}

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16j

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j + 17

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17j

Select the expressions that are equivalent to

8(w + 1)

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Multi-select Choices:

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8w

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9w

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8w + 8

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(1 + w)8

Select the expressions that are equivalent to

7(7k)

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Multi-select Choices:

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k + 14

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7(5k + 2k)

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7(4k + 3k)

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(7k)7

Select the expressions that are equivalent to

5f + 3f

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Multi-select Choices:

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2f + 6f

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f^8

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f + 8

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7f

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

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

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

What is the slope of the line?

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7x+2y=5

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1

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-\frac{2}{7}

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\frac{7}{2}

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-\frac{7}{2}

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\frac{2}{7}

\left(\frac{63}{3}\right)

\left.\left[\left(53^{2}-45^{2}\right): 7+3 \cdot 2^{4}\right]:\left[\left(21^{2}-7 \cdot 8\right): 7-17 \cdot 3\right]^{2}+2 \cdot 5^{2}\right\}^{2}:\left(2^{2}+2^{3}+2^{4}+2^{5}\right)+10 \cdot 2^{2}

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

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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.

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\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.

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\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.

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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.

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

\frac{7}{6} \div 4

Divide. Write your answer in simplest form.

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\frac{5}{6} \div 2

\frac{3^{6}}{3^{4}}

How many groups of

\frac{3}{8}

1

Jan created this

5

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9

lines to create this

6

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How many lines join the dots in Jan's

10

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\text{(A)}\ 35

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\text{(B)}\ 29

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\text{(C)}\ 28

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\text{(D)}\ 26

b) Average value of

f(x)=x^{2}

[5,13]

4

1

point What is the simplified

\frac{16 x^{5} y^{4}}{2 y} \cdot \frac{x y^{2}}{2 x^{3} y^{7}}

\frac{15}{12} \bigcirc \frac{6}{8}

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\qquad

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Factor out the greatest commor

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\frac{18 x^{2}+12 x}{18 x^{2}+12 x=}

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\square

\left(\frac{19^{2}+\sqrt{69}}{54}\right)^{3} \cdot 5

(iii) Write the whole number that succeeds

9999

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(iv) Write the whole number that precedes

1000

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3

. Write the place value and also the face value of

4

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5324

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6345

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6438

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Consider the number

87650324

. Name the values of the digitsi

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(i) thousand's place

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ten million's place

Which of the expressions are equivalent to

4(3+5)-3 \times 9^{2}

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Select THREE correct answers.

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12+20-243

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14 \cdot 81

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17-(27)^{2}

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4(8)-3 \times 81

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12+20-54

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32-3 \cdot 81

2

\left(1 \frac{1}{3} \div \frac{4}{9}\right) \div \frac{5}{16} \times 4 \frac{1}{6}

\mathrm{A}

3

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\frac{5^{2} x^{3} y^{4}}{3 x^{2} y}

\frac{25 x^{a} y^{b}}{3}

a+b

Simplify the following expressions completely. a)

5 ( 8 + 7 i )

( - 7 - 4 i ) ( 3 + 2 i )

9

\left(16^{-3} \cdot 16^{-17}\right)^{-23}

16^{a}

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256^{460}

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256^{-460}

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16^{460}

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16^{-460}

x^{2}+y^{2}=121 ?

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Multiplying Fractions

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2

. The math club has

96

\frac{1}{8}

of the members are fourth graders and th rest are fifth graders. How many math club members are fifth graders?

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12

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80

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16

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84

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4

. In which equation is the product greater than

3

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\frac{3}{4}

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\text { A } 1 \times \frac{1}{3}=\frac{1}{12}

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\frac{3}{2} \times 3

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\frac{1}{12}

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\begin{array}{l} C \frac{1}{12} \times 3 \\ \frac{1}{12} \times \frac{3}{1}=\frac{3}{12} \\ \frac{1}{12} \times \frac{1}{3}=\frac{1}{36} \end{array}

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\frac{9}{10} \times 3

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\frac{3}{2} x

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\frac{9}{10} \times \frac{1}{3}-\frac{9}{10} \times \frac{3}{1}=\frac{27}{10}

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Multiplying Fractions

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2

. The math club has

96

\frac{1}{8}

of the members are fourth graders and t rest are fifth graders. How many math club members are fifth graders?

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12

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80

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16

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84

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4

. In which equation is the product greater than

3

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\frac{3}{1}=\frac{3}{4}

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1 \times \frac{1}{3}=\frac{1}{12}

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\frac{3}{2} \times 3

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\frac{3}{2}

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=\frac{1}{12}

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4

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\frac{1}{12} \times 3

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\frac{9}{10} \times 3

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\frac{3}{2}

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\frac{1}{12} \times \frac{3}{1}=\frac{3}{12}=\frac{1}{12}=\frac{1}{36}

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\frac{3}{1}=\frac{3}{4}

0

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\frac{3}{1}=\frac{3}{4}

1

2

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6

. In a school contest, each student draws a number from

1

5

at random out of a large basket. The outcomes are shown in the table below.

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Based on the data in the table, what is the expected probability of drawing a

3

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\begin{tabular}{|l|c|c|c|c|c|}

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\hline Number Drawn &

1

2

3

4

5

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\hline \begin{tabular}{l}

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\end{tabular} &

83

79

88

72

85

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\frac{488}{740}

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5 \longdiv { \frac { 8 1 4 } { 4 0 7 } } \frac { \frac { 2 } { 3 8 8 } } { \sqrt { 4 0 7 } } \quad \frac { - 6 } { 2 8 }

\frac{3}{4}

mile in a race. Bryan ran

\frac{2}{5}

of the distance that Aidan ran. What distance did Bryan run?

15

The graph of a linear function is shown on the grid.

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Which equation is best represented by this graph?

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y=-\frac{7}{4} x+4

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y=-\frac{7}{4} x+7

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y=-\frac{4}{7} x+4

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y=-\frac{4}{7} x+7

12

-15

, simplify. You

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12

\sqrt[5]{448 x^{21} y^{18}}

Simplify the expression completely:

\frac{2 x^{10} y^{15}}{34 x^{5} y^{5}}

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

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

g(x)=14-x

x=2

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1

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\frac{19}{6}

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\frac{99}{2}

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\frac{151}{2}

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\frac{45}{2}

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