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Mathematics

12th Grade

CCSS covered

Used 3+ times

Equations, Exponents & Graphs
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32 questions

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1.

MATCH QUESTION

2 mins • 3 pts

Exponent and Radical Rules. 

1a. Match the equivalent expressions that make up the rules for exponents and radicals

bn\sqrt[n]{b}

(bm)n\left(b^m\right)^n

1bn\frac{1}{b^n}

bm⋅bnb^m\cdot b^n

bm+nb^{m+n}

b−nb^{-n}

bm−nb^{m-n}

b1nb^{\frac{1}{n}}

bm⋅nb^{m\cdot n}

bmbn\frac{b^m}{b^n}

Tags

CCSS.8.EE.A.1

2.

MATCH QUESTION

2 mins • 3 pts

Exponent and Radical Rules. 

1b. Match the equivalent expressions that make up the rules for exponents and radicals

anbna^nb^n

(ab)n\left(ab\right)^n

a⋅b\sqrt[]{a}\cdot\sqrt[]{b}

ab+cba\sqrt[]{b}+c\sqrt[]{b}

(a+c)b\left(a+c\right)\sqrt[]{b}

(ab)n\left(\frac{a}{b}\right)^n

ab\frac{\sqrt[]{a}}{\sqrt[]{b}}

ab\sqrt[]{\frac{a}{b}}

anbn\frac{a^n}{b^n}

ab\sqrt[]{ab}

Tags

CCSS.HSN.RN.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 2 pts

Simplify the exponent expression.

2. What would the next step look like if you clear all the parenthesis?

(9m3n5)−2⋅(−6m2n)4\left(9m^3n^5\right)^{-2}\cdot\left(-6m^2n\right)^4

−81m6n5⋅−1296m8n4-81m^6n^5\cdot-1296m^8n^4

181m−6n−10⋅1296m8n4\frac{1}{81}m^{-6}n^{-10}\cdot1296m^8n^4

−181m6n10⋅1296m8n4-\frac{1}{81}m^6n^{10}\cdot1296m^8n^4

81m−6n−10⋅−1296m−8n−481m^{-6}n^{-10}\cdot-1296m^{-8}n^{-4}

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 2 pts

Simplify the radical expression.

3. What would be the first step to simplifying the radical expression?

2128+420−2502\sqrt[]{128}+4\sqrt[]{20}-2\sqrt[]{50}

264⋅2+44⋅5−225⋅22\sqrt[]{64\cdot2}+4\sqrt[]{4\cdot5}-2\sqrt[]{25\cdot2}

2⋅82+4⋅25−2⋅522\cdot8\sqrt[]{2}+4\cdot2\sqrt[]{5}-2\cdot5\sqrt[]{2}

162+85−10216\sqrt[]{2}+8\sqrt[]{5}-10\sqrt[]{2}

85+628\sqrt[]{5}+6\sqrt[]{2}

Tags

CCSS.HSN.RN.A.2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the radical expression.

4. Which is the best option to clear the radical from the denominator?

−63233\frac{-6\sqrt[]{32}}{3\sqrt[]{3}}

⋅3232\cdot\frac{\sqrt[]{32}}{\sqrt[]{32}}

⋅33\cdot\frac{\sqrt[]{3}}{\sqrt[]{3}}

⋅3333\cdot\frac{3\sqrt[]{3}}{3\sqrt[]{3}}

⋅33\cdot3\sqrt[]{3}

Tags

CCSS.HSN.RN.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the radical expression.

5. What is the conjugate of the following expression that would clear the denominator of radicals?

4510−12\frac{4\sqrt[]{5}}{\sqrt[]{10}-\sqrt[]{12}}

10−12\sqrt[]{10}-\sqrt[]{12}

10+12\sqrt[]{10}+\sqrt[]{12}

10−12\sqrt[]{10-12}

10+12\sqrt[]{10+12}

Tags

CCSS.HSN.RN.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Polynomial Operations

8. Simplify the expression.  Write the answer in standard form.

  1. 5y(y5 + 8y3)

5y6 + 8y4

5y6 + 40y4

45y9

5y4 + 8y2

Tags

CCSS.HSA.APR.A.1

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