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Worksheets

Illustrating RAE

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

 Which of the following represents a ratio of two polynomials?

a)

(2x+1)-(x-4)

b)

(x-5)+(5x-8)

c)

(x+1)(x-3)

d)

 (4x1)(2x3)\frac{\left(4x-1\right)}{\left(2x-3\right)}  

2.

The following are rational algebraic expressions EXCEPT

a)

4y+2\frac{4}{y+2}

b)

3x +82x4x2\frac{3x\ +8}{2x^4-x^2}

c)

5+3x32x+10\frac{5+3x^{\frac{3}{2}}}{x+10}

d)

4x101\frac{4x-10}{1}

3.

Vanness can accomplish his school project in 𝑧 hours. What part of his school project can be completed by Vanness after 2 hours?

a)

z+2

b)

z-2

c)

2z

d)

z2\frac{z}{2}

4.

 x25x+12x21\frac{x^2-5x+12}{x^2-1}  

What is the value of the given expression when x=2  

a)

1

b)

2

c)

3

d)

4

5.

 2x+53x\frac{2x+5}{3x}  

Evaluate the given expression when x=-1

a)

-1

b)

0

c)

1

d)

2

6.

Which of the following terms is described as "the ratio of two polynomial expressions"?

a)

linear algebraic expression

b)

linear algebraic equation

c)

rational algebraic expression

d)

rational algebraic equation

7.

In a rational algebraic expression written in the form of P/Q, where P and Q are polynomials, the polynomial Q must not be equal to ________.

a)

-1

b)

0

c)

1

d)

2

8.

 x43x+5x26x+9\frac{x^4-3x+5}{x^2-6x+9}  

What is the value of 𝑥 that will make the given expression undefined?

a)

1

b)

2

c)

3

d)

4

9.

Which of the following represents the phrase “The ratio of thrice the difference of twice 𝑥 and thrice 𝑦 to the difference of thrice 𝑥 and 𝑦”?

a)

3(2x+3y)3(xy)\frac{3\left(2x+3y\right)}{3\left(x-y\right)}

b)

3(2xy)3(xy)\frac{3\left(2x-y\right)}{3\left(x-y\right)}

c)

3(2x3y)3xy\frac{3\left(2x-3y\right)}{3x-y}

d)

3(2x)3y3xy\frac{3\left(2x\right)-3y}{3x-y}

10.

The formula for finding the area of a rectangle is 𝐴= 𝑙𝑤, where 𝑙 is the length and 𝑤 is the width of the rectangle. What is the formula in finding the length (𝑙) of the rectangle given its area (𝐴)?

a)

Al\frac{A}{l}

b)

Aw\frac{A}{w}

c)

wA\frac{w}{A}

d)

lA\frac{l}{A}