Log inSign up for FREE
Library

Unit 6 Test

Last updated almost 4 years ago
26 questions
Note from the author:
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You do NOT have to show your work.
3) Check your answers. Pay careful attention that you gave what the question was asking for. Check formatting especially.
4) Submit the test. Tell me, and I will unblock GoGuardian.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
Perfect Cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
Perfect Fourths: 1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You do NOT have to show your work.
3) Check your answers. Pay careful attention that you gave what the question was asking for. Check formatting especially.
4) Submit the test. Tell me, and I will unblock GoGuardian.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
Perfect Cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
Perfect Fourths: 1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000
1

Which of the following is the simplified form of \sqrt[3]{81m^{8}n^{4}}?

1

Which of the following is the simplified form of 5xy\sqrt{28x}+\sqrt{63x^{3}y^{2}}?

1

Which of the following is the simplified form of 2\sqrt[4]{8w^{3}}\cdot 3\sqrt[4]{32w^{5}}?

1

Simplify the expression below.

\sqrt{18}(2+\sqrt{6})-2\sqrt{3}

Do not include spaces or parentheses in your answer. Your answer should be two terms joined by addition/subtraction. Order does not matter. Simplify any radicals.

1

Simplify the expression below.

(4\sqrt{3}-1)(\sqrt{3}-6)

Do not include spaces or parentheses in your answer. Your answer should be two terms joined by addition/subtraction. Order does not matter. Simplify any radicals.

1

Simplify the expression below.

(2\sqrt{10}-\sqrt{6})(2\sqrt{10}+\sqrt{6})

Do not include spaces or parentheses in your answer.

1

Which of the following is the simplified form of \frac{\sqrt{294k^{30}}}{\sqrt{3k^{5}}}?

1

Which of the following is the simplified form of \frac{\sqrt[3]{3}}{2\sqrt[3]{-375}}?

1

Which is equivalent to \sqrt{16x^{7}y^{4}}?

1

Which is equivalent to a^{\frac{5}{4}}b^{\frac{13}{4}}?

1

Which of the following is the simplified form of (2x)^{\frac{1}{3}}\cdot (2x)^{\frac{4}{3}}?

1

Simplify the expression.

\frac{9^{\frac{7}{4}}}{9^{\frac{9}{4}}}

Do not use spaces. Your answer should be a rational number, in fraction form.

1

Which of the following is the simplified form of (p^{\frac{3}{2}})^{\frac{7}{2}}?

1

Simplify the expression below.

\frac{(-54)^{2}}{\sqrt[3]{(-54)^{5}}}

Do not put spaces in your answer. Write your answer in simplest radical form.

1

Solve the equation. Check for extraneous solutions. Enter the solution as a number, no spaces. If there are two solutions, list them in increasing order separated by a comma. If there are no solutions, type "no solution" without quote marks.

\sqrt{6x-5}+1=8

1

Solve the equation. Check for extraneous solutions. Enter the solution as a number, no spaces. If there are two solutions, list them in increasing order separated by a comma. If there are no solutions, type "no solution" without quote marks.

-5\sqrt[3]{2x+3}=-15

1

Solve the equation. Check for extraneous solutions. Enter the solution as a number, no spaces. If there are two solutions, list them in increasing order separated by a comma. If there are no solutions, type "no solution" without quote marks.

7-(3x-29)^{\frac{1}{4}}=5

1

Solve the equation. Check for extraneous solutions. Enter the solution as a number, no spaces. If there are two solutions, list them in increasing order separated by a comma. If there are no solutions, type "no solution" without quote marks.

(7-2x)^{\frac{1}{2}}=(1-5x)^{\frac{1}{2}}

1

Solve the equation. Check for extraneous solutions. Enter the solution as a number, no spaces. If there are two solutions, list them in increasing order separated by a comma. If there are no solutions, type "no solution" without quote marks.

x = \sqrt{13x-40}

1

Solve the equation. Check for extraneous solutions. Enter the solution as a number, no spaces. If there are two solutions, list them in increasing order separated by a comma. If there are no solutions, type "no solution" without quote marks.

\sqrt{6x+15}-4=x

1

If f(x) = -\frac{1}{4}x-2, what is f^{-1}(x), the inverse?

Enter your answer as an expression, no "=" or spaces.

1

If f(x) = 2x+14, what is f^{-1}(x), the inverse?

Enter your answer as an expression, no "=" or spaces.

1

If f(x) = \sqrt[3]{4x-12}, what is f^{-1}(x), the inverse?

Enter your answer as an expression, no "=" or spaces.

1

If f(x) = (x+5)^{2}-3, what is f^{-1}(x), the inverse?

Enter your answer as an expression, no "=" or spaces.

1

Are the following functions inverses of each other?

f(x) = \frac{1}{3}x-3
g(x)=6x+18

1

Are the following functions inverses of each other?

f(x)=\sqrt[4]{2x-6}
g(x)=\frac{1}{2}x^{4}+3