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#21 Qt. 2 Rational Expressions - Math 3

#21 Qt. 2 Rational Expressions - Math 3

Assessment

Presentation

•

Mathematics

•

10th Grade

•

Medium

•
CCSS
HSF-IF.C.7D, HSA.APR.D.6, HSA.APR.D.7

Standards-aligned

Created by

Alexandria Waldemer

Used 2+ times

FREE Resource

1 Slide • 15 Questions

1

Rational Expressions
media

I will be able to simplify rational expressions

2

Multiple Choice

What is an asymptote?

1

an imaginary line that your function never touches

2

a part of your function

3

a point on your graph

4

a type of fruit

3

Multiple Choice

Question image
What are the asymptotes?
1

x = -3        y = 1  

2

x = 3         y = 1

3

x = -3        y = -1

4

x = 3         y = -1

4

Multiple Choice

Question image

What is the horizontal asymptote?

1

x = 2

2

y = 2

3

x =-2

4

y=-2

5

Multiple Choice

Question image
What is the vertical asymptote? 
1

x = 2

2

y = 2

3

x = 1

4

y = 1

6

Multiple Choice

The rational function, y=1x−5y=\frac{1}{x-5}  is undefined at...

1

x = 1

2

x = 5

3

x = -5

4

x = 0

7

Multiple Choice

Question image

This rational function is undefined at...

1

x = 4

2

x = -4

3

x = 0

4

x = 5

8

Multiple Choice

 2x(x−2)(x−2)(x+5)\ \frac{2x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}  State the values of x which must be excluded to prevent division by zero.

1

-2 and 5

2

2 and -5

3

0, 2, and -5

4

0, -2, and 5

9

Multiple Choice

Question image
Which value of x makes the expression undefined?
1

-2

2

2

3

-6

4

-3

10

Multiple Choice

Factor
n2 + 5n - 6
1

(n - 2)(n - 3)

2

(n - 1)(n + 6)

3

(n + 1)(n - 6)

4

(n + 2)(n - 3)

11

Multiple Choice

Question image

Simplify.

1

m+6m−3\frac{m+6}{m-3}

2

7m−3\frac{7}{m-3}

3

7m+6\frac{7}{m+6}

4

1m+6\frac{1}{m+6}

12

Multiple Choice

Simplify.

xy⋅4xy3\frac{x}{y}\cdot\frac{4x}{y^3}  

1

4x2y4\frac{4x^2}{y^4}  

2

x2y\frac{x^2}{y}  

3

x24y\frac{x^2}{4y}  

4

4xy3\frac{4x}{y^3}  

5

none of these

13

Multiple Choice

Simplify x+9x2−81\frac{x+9}{x^2-81}  

1

x−9x+9\frac{x-9}{x+9}

2

1x−9\frac{1}{x-9}

3

x+9x+9

4

1x+9\frac{1}{x+9}

14

Multiple Choice

Complete Step 1:  FACTOR x2 −5x + 6x2−4⋅(x +6)(x + 5)x2+2x −15\frac{x^2\ -5x\ +\ 6}{x^2-4}\cdot\frac{\left(x\ +6\right)\left(x\ +\ 5\right)}{x^2+2x\ -15}  

1

(x − 3)(x − 2)(x + 2)(x − 2)⋅(x + 6)(x + 5)(x + 5)(x − 3)\frac{\left(x\ -\ 3\right)\left(x\ -\ 2\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ +\ 5\right)\left(x\ -\ 3\right)}  

2

(x + 6)(x − 1)(x + 2)(x − 2)⋅(x + 6)(x + 5)(x −5)(x −3)\frac{\left(x\ +\ 6\right)\left(x\ -\ 1\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ -5\right)\left(x\ -3\right)}  

15

Multiple Choice

Complete Step 2: State the Restrictions (x−3)(x−2)(x+2)(x−2)⋅(x+6)(x+5)(x+5)(x−3)\frac{\left(x-3\right)\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}\cdot\frac{\left(x+6\right)\left(x+5\right)}{\left(x+5\right)\left(x-3\right)}  

1

x≠−2, 2, −5, 3x\ne-2,\ 2,\ -5,\ 3  

2

x≠2, −2, 5, −3x\ne2,\ -2,\ 5,\ -3  

3

x≠3, 2, −6, −5x\ne3,\ 2,\ -6,\ -5  

4

x≠−3, 2, −6, −5x\ne-3,\ 2,\ -6,\ -5  

16

Multiple Choice

Complete Step 1: Multiply by the reciprocal or KFC (Keep, Flip, Change) 3(x−9)x2−36÷x−9x2−x−30\frac{3\left(x-9\right)}{x^2-36}\div\frac{x-9}{x^2-x-30}  

1

x2−363(x−9)⋅x2−x−30x−9\frac{x^2-36}{3\left(x-9\right)}\cdot\frac{x^2-x-30}{x-9}  

2

3(x−9)x2−36⋅x2−x−30x−9\frac{3\left(x-9\right)}{x^2-36}\cdot\frac{x^2-x-30}{x-9}  

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Rational Expressions
media

I will be able to simplify rational expressions

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