Units 5-6 Review

Last updated about 4 years ago

17 questions

Note from the author:

Instructions

Units 5-6 Review

Last updated about 4 years ago

17 questions

Note from the author:

Formula Sheet

Instructions

Formula Sheet

Match the equivalent expressions.

Draggable item		Corresponding Item
a^{3}-b^{3}		(a+bi)(a-bi)
a^{2} - b^{2}		(a-b)(a+b)
a^{2} + b^{2}

What are the zeroes of the following polynomial?

9x^{3} + 9x^{2} - 4x - 4

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

4x^{2} - 81

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

x^{3} - 64

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12.

What is the remainder of \frac{f(x)}{(x - 4)}?

Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12.

What is the remainder of \frac{f(x)}{(x+2)}?

Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4.

What is the remainder of \frac{f(x)}{(x+3)}?

Enter your answer as a number, no spaces.

Match the term with the description of its end behaviors.

Draggable item		Corresponding Item
odd-degree polynomial with negative leading coefficient		x\rightarrow\infty, f(x)\rightarrow -\infty; x\rightarrow -\infty, f(x)\rightarrow -\infty
odd-degree polynomial with positive leading coefficient		x\rightarrow\infty, f(x)\rightarrow\infty; x\rightarrow -\infty, f(x)\rightarrow\infty
even-degree polynomial with negative leading coefficient

Units 5-6 Review

Units 5-6 Review

Match the equivalent expressions.

What are the zeroes of the following polynomial?

9x^{3} + 9x^{2} - 4x - 4

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

4x^{2} - 81

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

x^{3} - 64

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12.

What is the remainder of \frac{f(x)}{(x - 4)}?

Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12.

What is the remainder of \frac{f(x)}{(x+2)}?

Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4.

What is the remainder of \frac{f(x)}{(x+3)}?

Enter your answer as a number, no spaces.

Match the term with the description of its end behaviors.

Simplify the expression.

2\sqrt[3]{2x} + \sqrt[3]{54x}

Enter your answer in simplest radical form.

Simplify the expression.

(1+ \sqrt{10})(2-\sqrt{10})

Enter your answer in simplest radical form, no spaces.

Simplify the expression.

(5x)^{5/3} \cdot \sqrt[3]{x}

Enter your answer in simplest radical form.

Simplify the expression.

\sqrt{2x} \cdot \sqrt{8x^{6}}

Enter your answer in simplest radical form.

Solve for x.

\sqrt[3]{x-7} = -1

Enter your answer as a number, no spaces.

Solve for x.

2\sqrt{x+5} =16

Enter your answer as a number, no spaces.

Solve for x.

20-\sqrt{2x+6} =16

Enter your answer as a number, no spaces.

What is the inverse of the function f(x) = \sqrt{2x-6}?

Use "y=..." format, no spaces.

What is the inverse of the function f(x) = \sqrt[3]{x+6}-1? Do NOT distribute.

Use "y=..." format, no spaces.

Match the equivalent expressions.

What are the zeroes of the following polynomial?

9x^{3} + 9x^{2} - 4x - 4

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

4x^{2} - 81

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

x^{3} - 64

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12.

What is the remainder of \frac{f(x)}{(x - 4)}?

Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12.

What is the remainder of \frac{f(x)}{(x+2)}?

Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4.

What is the remainder of \frac{f(x)}{(x+3)}?

Enter your answer as a number, no spaces.

Match the term with the description of its end behaviors.

Simplify the expression.

2\sqrt[3]{2x} + \sqrt[3]{54x}

Enter your answer in simplest radical form.

Simplify the expression.

(1+ \sqrt{10})(2-\sqrt{10})

Enter your answer in simplest radical form, no spaces.

Simplify the expression.

(5x)^{5/3} \cdot \sqrt[3]{x}

Enter your answer in simplest radical form.

Simplify the expression.

\sqrt{2x} \cdot \sqrt{8x^{6}}

Enter your answer in simplest radical form.

Solve for x.

\sqrt[3]{x-7} = -1

Enter your answer as a number, no spaces.

Solve for x.

2\sqrt{x+5} =16

Enter your answer as a number, no spaces.

Solve for x.

20-\sqrt{2x+6} =16

Enter your answer as a number, no spaces.

What is the inverse of the function f(x) = \sqrt{2x-6}?

Use "y=..." format, no spaces.

What is the inverse of the function f(x) = \sqrt[3]{x+6}-1? Do NOT distribute.

Use "y=..." format, no spaces.

Units 5-6 Review

Units 5-6 Review

Match the equivalent expressions.

What are the zeroes of the following polynomial?9x^{3} + 9x^{2} - 4x - 4 Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?4x^{2} - 81 Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?x^{3} - 64 Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12. What is the remainder of \frac{f(x)}{(x - 4)}?Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12. What is the remainder of \frac{f(x)}{(x+2)}?Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4. What is the remainder of \frac{f(x)}{(x+3)}?Enter your answer as a number, no spaces.

Match the term with the description of its end behaviors.

Simplify the expression.2\sqrt[3]{2x} + \sqrt[3]{54x}Enter your answer in simplest radical form.

Simplify the expression.(1+ \sqrt{10})(2-\sqrt{10})Enter your answer in simplest radical form, no spaces.

Simplify the expression.(5x)^{5/3} \cdot \sqrt[3]{x}Enter your answer in simplest radical form.

Simplify the expression.\sqrt{2x} \cdot \sqrt{8x^{6}}Enter your answer in simplest radical form.

Solve for x.\sqrt[3]{x-7} = -1Enter your answer as a number, no spaces.

Solve for x.2\sqrt{x+5} =16 Enter your answer as a number, no spaces.

Solve for x.20-\sqrt{2x+6} =16 Enter your answer as a number, no spaces.

What is the inverse of the function f(x) = \sqrt{2x-6}?Use "y=..." format, no spaces.

What is the inverse of the function f(x) = \sqrt[3]{x+6}-1? Do NOT distribute.Use "y=..." format, no spaces.

Match the equivalent expressions.

What are the zeroes of the following polynomial?9x^{3} + 9x^{2} - 4x - 4 Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?4x^{2} - 81 Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?x^{3} - 64 Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12. What is the remainder of \frac{f(x)}{(x - 4)}?Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12. What is the remainder of \frac{f(x)}{(x+2)}?Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4. What is the remainder of \frac{f(x)}{(x+3)}?Enter your answer as a number, no spaces.

Match the term with the description of its end behaviors.

Simplify the expression.2\sqrt[3]{2x} + \sqrt[3]{54x}Enter your answer in simplest radical form.

Simplify the expression.(1+ \sqrt{10})(2-\sqrt{10})Enter your answer in simplest radical form, no spaces.

Simplify the expression.(5x)^{5/3} \cdot \sqrt[3]{x}Enter your answer in simplest radical form.

Simplify the expression.\sqrt{2x} \cdot \sqrt{8x^{6}}Enter your answer in simplest radical form.

Solve for x.\sqrt[3]{x-7} = -1Enter your answer as a number, no spaces.

Solve for x.2\sqrt{x+5} =16 Enter your answer as a number, no spaces.

Solve for x.20-\sqrt{2x+6} =16 Enter your answer as a number, no spaces.

What is the inverse of the function f(x) = \sqrt{2x-6}?Use "y=..." format, no spaces.

What is the inverse of the function f(x) = \sqrt[3]{x+6}-1? Do NOT distribute.Use "y=..." format, no spaces.

What are the zeroes of the following polynomial?

9x^{3} + 9x^{2} - 4x - 4

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

4x^{2} - 81

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

x^{3} - 64

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12.

What is the remainder of \frac{f(x)}{(x - 4)}?

Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12.

What is the remainder of \frac{f(x)}{(x+2)}?

Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4.

What is the remainder of \frac{f(x)}{(x+3)}?

Enter your answer as a number, no spaces.

Simplify the expression.

2\sqrt[3]{2x} + \sqrt[3]{54x}

Enter your answer in simplest radical form.

Simplify the expression.

(1+ \sqrt{10})(2-\sqrt{10})

Enter your answer in simplest radical form, no spaces.

Simplify the expression.

(5x)^{5/3} \cdot \sqrt[3]{x}

Enter your answer in simplest radical form.

Simplify the expression.

\sqrt{2x} \cdot \sqrt{8x^{6}}

Enter your answer in simplest radical form.

Solve for x.

\sqrt[3]{x-7} = -1

Enter your answer as a number, no spaces.

Solve for x.

2\sqrt{x+5} =16

Enter your answer as a number, no spaces.

Solve for x.

20-\sqrt{2x+6} =16

Enter your answer as a number, no spaces.

What is the inverse of the function f(x) = \sqrt{2x-6}?

Use "y=..." format, no spaces.

What is the inverse of the function f(x) = \sqrt[3]{x+6}-1? Do NOT distribute.

Use "y=..." format, no spaces.

What are the zeroes of the following polynomial?

9x^{3} + 9x^{2} - 4x - 4

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

4x^{2} - 81

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

What are the zeroes of the following polynomial?

x^{3} - 64

Enter your answer in "x={#, #...} format, with exactly one space after each comma. List the real zeroes first in increasing order, then the nonreal with the negative first. Use fractions rather than decimals.

Let f(x) = x^{3} - 5x^{2} + 5x - 12.

What is the remainder of \frac{f(x)}{(x - 4)}?

Enter your answer as a number, no spaces.

Let f(x) = 2x^{3} +5x^{2} + 5x +12.

What is the remainder of \frac{f(x)}{(x+2)}?

Enter your answer as a number, no spaces.

Let f(x) = x^{3} - 10x +4.

What is the remainder of \frac{f(x)}{(x+3)}?

Enter your answer as a number, no spaces.

Simplify the expression.

2\sqrt[3]{2x} + \sqrt[3]{54x}

Enter your answer in simplest radical form.

Simplify the expression.

(1+ \sqrt{10})(2-\sqrt{10})

Enter your answer in simplest radical form, no spaces.

Simplify the expression.

(5x)^{5/3} \cdot \sqrt[3]{x}

Enter your answer in simplest radical form.

Simplify the expression.

\sqrt{2x} \cdot \sqrt{8x^{6}}

Enter your answer in simplest radical form.

Solve for x.

\sqrt[3]{x-7} = -1

Enter your answer as a number, no spaces.

Solve for x.

2\sqrt{x+5} =16

Enter your answer as a number, no spaces.

Solve for x.

20-\sqrt{2x+6} =16

Enter your answer as a number, no spaces.

What is the inverse of the function f(x) = \sqrt{2x-6}?

Use "y=..." format, no spaces.

What is the inverse of the function f(x) = \sqrt[3]{x+6}-1? Do NOT distribute.

Use "y=..." format, no spaces.