Operations on rational algebraic expressions

Operations on rational algebraic expressions

9th - 12th Grade

20 Qs

quiz-placeholder

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Operations on rational algebraic expressions

Operations on rational algebraic expressions

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSA.APR.D.7

Standards-aligned

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Simplify the expression

(12n2+28n+4)(2n5)(n+2)\frac{(12n^2+28n+4)}{(2n-5)(n+2)}

(12n228n+4)(2n5)(n+2)\frac{(12n^2-28n+4)}{(2n-5)(n+2)}

(8n)(3n+3)\frac{(8n)}{(3n+3)}

(12n2+2n3)(2n5)(n+2)\frac{(12n^2+2n-3)}{(2n-5)(n+2)}

Tags

CCSS.HSA.APR.D.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression.

 x5x6+2x+1\frac{x-5}{x-6}+\frac{2}{x+1}  

 x7(x6)(x+1)\frac{x-7}{\left(x-6\right)\left(x+1\right)}  

 x22x17(x6)(x+1)\frac{x^2-2x-17}{\left(x-6\right)\left(x+1\right)}  

 x35\frac{x-3}{-5}  

 2x10(x+1)(x6)\frac{2x-10}{\left(x+1\right)\left(x-6\right)}  

Tags

CCSS.HSA.APR.D.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of the two rational expressions in simplest form?

 64x+83xx+2\frac{6}{4x+8}-\frac{3x}{x+2}  

 12x+64(x+2)\frac{-12x+6}{4\left(x+2\right)}  

 12x64(x+2)\frac{12x-6}{4\left(x+2\right)}  

 12x+64(x+3)\frac{-12x+6}{4\left(x+3\right)}  

 7x+64(x+2)\frac{-7x+6}{4\left(x+2\right)}  

Tags

CCSS.HSA.APR.D.7

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.D.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A

B

C

D

Tags

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying 16x1x2\frac{1}{6x}-\frac{1}{x^2} ?

Make the denominators of the rational expressions the same by finding the Least Common Denominator (LCD).

Combine the numerators by the indicated operations (add and/or subtract) then copy the common denominator.

Multiply the numerators together and the denominators together.

 x66x2\frac{x-6}{6x^2}  

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.D.7

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