Radicals & Rationals Practice

Simplify.

• $\frac{6}{x+3}$

• $\frac{2}{x^2+x}$

• $\frac{6}{x^2+7x+12}$

• $6\left(x+3\right)$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

Simplify

• $x^2+7x+12$

• $\frac{x+5}{2}$

• $x+2.5$

• $2\left(x+5\right)$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify

• $\frac{-4}{x}$

• $\frac{3}{2}$

• $\frac{x+3}{x+2}$

• $x^2+5x+6$

Simplify

• $5x-20$

• $\frac{3x-28}{-2x-8}$

• $x^2+9x+14$

• $\frac{x+7}{x+2}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Multiply & Simplify

• $\frac{1}{10x+10}$

• $\frac{x+3}{10x^2+40x+30}$

• $\frac{x^2+5x+6}{10x^3+60x^2+110x+60}$

• $\frac{x+1}{10}$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Multiply & Simplify

• $\frac{42x-126}{5x^2-45x+90}$

• $\frac{42}{5x-30}$

• $\frac{42x^2-140x+252}{5x^3-55x^2+180x-180}$

• $\frac{30}{7x+42}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Divide & Simplify

•  $\frac{x^2-10x+24}{35}$  

•  $\frac{7x^3-32x^2-72x-18}{5x^3-29x-60}$  

•  $\frac{7x-42}{5x-20}$  

•  $\frac{7x^2-35x-42}{5x^2-15x-20}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Divide & Simplify

• $\frac{3x-9}{2x-18}$

• $\frac{x^2+\frac{5}{3}x-1}{x^2-4x-\frac{9}{2}}$

• $\frac{x^4-3x^3-73x^2+147x+216}{6x^2+54x+48}$

• $\frac{x^2-12x+27}{6}$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Add & Simplify

• $\frac{6x-3}{x^2+6x+5}$

• $\frac{10x-3}{x^2+6x+5}$

• $\frac{10x-6}{x^2+6x+5}$

• $\frac{10s^2+22x-15}{x^3+11x^2+35x+25}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Add & Simplify

• $\frac{4y+6}{y^2+7y+10}$

• $\frac{3+y}{y^2+7y+10}$

• $\frac{4y+2}{y^2+7y+10}$

• $\frac{4y^2+26y+30}{y^3+12y^2+45y+50}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3