What are the restrictions of: 8 x ( x + 4 ) ( x − 5 ) \frac{8x}{\left(x+4\right)\left(x-5\right)} ( x + 4 ) ( x − 5 ) 8 x (Pick all that apply!)

x ≠ − 4 x\ne-4 x  = − 4

x ≠ − 5 x\ne-5 x  = − 5

Write the following sum in simplest form: 9 x 21 + x + 7 7 \frac{9x}{21}+\frac{x+7}{7} 2 1 9 x + 7 x + 7

12 x + 21 21 \frac{12x+21}{21} 2 1 1 2 x + 2 1

12 x + 7 21 \frac{12x+7}{21} 2 1 1 2 x + 7

84 x + 147 147 \frac{84x+147}{147} 1 4 7 8 4 x + 1 4 7

Write the following quotient in simplest form: 8 ( p − 1 ) p + 3 ÷ p − 1 p + 3 \frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3} p + 3 8 ( p − 1 ) ÷ p + 3 p − 1

8 p − 1 p + 3 \frac{8p-1}{p+3} p + 3 8 p − 1

What are the restrictions of: 19 8 u ( u + 2 ) \frac{19}{8u\left(u+2\right)} 8 u ( u + 2 ) 1 9 (Pick all that apply!)

u ≠ − 2 u\ \ne-2 u  = − 2

u ≠ − 8 u\ne-8 u  = − 8

When adding and subtracting rational expressions, my first step should be to:

Determine a Least Common Denominator.

Combine like terms in the numerators.

Factor all of the numerators and all of the denominators.

Change the operator to multiplication and reciprocate the second fraction.

Operations with Rationals

Authored by Sherri Manley

Mathematics

10th - 11th Grade

CCSS covered

Used 35+ times

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19 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify.

(x+6)/(x+4)

(x+6)(x+4)

(x+6)

(x+6)/(x-5)

Tags

CCSS.HSA.APR.D.6

MULTIPLE SELECT QUESTION

5 mins • 1 pt

What are the restrictions of: $\frac{8x}{\left(x+4\right)\left(x-5\right)}$

(Pick all that apply!)

$x\ne5$

$x\ne-5$

$x\ne0$

$x\ne4$

$x\ne-4$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the following sum in simplest form:

$\frac{9x}{21}+\frac{x+7}{7}$

$12x$

$\frac{12x+7}{21}$

$\frac{12x+21}{21}$

$\frac{84x+147}{147}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the following quotient in simplest form:

$\frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3}$

$8$

$\frac{8p-1}{p+3}$

$\frac{8\left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}$

$\frac{8\left(p-1\right)\left(p+3\right)\ +\ \left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}$

Tags

CCSS.HSA.APR.D.6

MULTIPLE SELECT QUESTION

5 mins • 1 pt

What are the restrictions of: $\frac{19}{8u\left(u+2\right)}$

(Pick all that apply!)

$u\ \ne0$

$u\ \ne2$

$u\ \ne-2$

$u\ne8$

$u\ne-8$

Tags

CCSS.HSA.APR.D.7

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Simply the expression. State the restricted values.

_{Restricted values: 4, 10}

Restricted values: -4, -10

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSA.APR.D.7

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Operations with Rationals

Simplify.

What are the restrictions of: 8x(x+4)(x−5)\frac{8x}{\left(x+4\right)\left(x-5\right)}(x+4)(x−5)8x​ (Pick all that apply!)

Write the following sum in simplest form: 9x21+x+77\frac{9x}{21}+\frac{x+7}{7}219x​+7x+7​

Write the following quotient in simplest form: 8(p−1)p+3÷p−1p+3\frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3}p+38(p−1)​÷p+3p−1​

What are the restrictions of: 198u(u+2)\frac{19}{8u\left(u+2\right)}8u(u+2)19​ (Pick all that apply!)

Simply the expression. State the restricted values.

When adding and subtracting rational expressions, my first step should be to:

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What are the restrictions of: $\frac{8x}{\left(x+4\right)\left(x-5\right)}$

(Pick all that apply!)

Write the following sum in simplest form:

$\frac{9x}{21}+\frac{x+7}{7}$

Write the following quotient in simplest form:

$\frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3}$

What are the restrictions of: $\frac{19}{8u\left(u+2\right)}$

(Pick all that apply!)