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Worksheets

Expressions and Equations

Total questions: 22

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

32\sqrt[]{32}  belongs to which sets below?

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

2.

6012-\frac{60}{12}   belongs to which sets below?

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

3.

ππ\pi-\pi belongs to which sets below?

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

4.

814\sqrt[]{\frac{81}{4}}  belongs to which sets below?

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

5.

Name the property used in the equation below:

2x2y=2(xy)2x-2y=2\left(x-y\right)  

4 lines
6.

Name the property used in the equation below:

4x334x=1\frac{4x}{3}\cdot\frac{3}{4x}=1  

4 lines
7.

Name the property used in the equation below:

95a2=5a29-9\cdot5a^2=5a^2\cdot-9  

4 lines
8.

Name the property used in the equation below:

10+0=10\sqrt[]{10}+0=\sqrt[]{10}  

4 lines
9.

Simplify the Expression using the Order of Operations

10.

Simplify the Expression using the Order of Operations

11.

Simplify the expression a2+4abb2-a^2+4ab-b^2  if a=2a=2  and b=6b=-6  

a)

-80

b)

-8

c)

-88

d)

88

12.

Simplify the expression 2x5y2x-5y  if x=23x=\frac{2}{3}  and y=14y=\frac{1}{4}  

a)

37\frac{3}{7}  

b)

13\frac{1}{3}  

c)

16\frac{1}{6}  

d)

112\frac{1}{12}  

13.

Solve the Equation below

14.

Solve the Equation below

15.

Solve the Equation below

16.

Solve the equation below for bb :

11a+b3=6a\frac{11a+b}{3}=6a  

(a)  

17.

What are the solutions to the absolute value equation below? If they are any that are extraneous, list them and tell me that they are extraneous.

36w=39\left|3-6w\right|=39  

4 lines
18.

What are the solutions to the absolute value equation below? If they are any that are extraneous, list them and tell me that they are extraneous.

7=a32-7=\frac{\left|a-3\right|}{-2}  

4 lines
19.

What are the solutions to the absolute value equation below? If they are any that are extraneous, list them and tell me that they are extraneous.

712x+31=627\left|12x+3\right|-1=62  

4 lines
20.

What are the solutions to the absolute value equation below? If they are any that are extraneous, list them and tell me that they are extraneous.

53p+9=13p+8\left|5-3p\right|+9=13p+8  

4 lines
21.

The difference of 4 times a number, x, and 40 is equal to the number, x, subtracted from 100. Find the number, x.

4 lines
22.

The sum of three consecutive EVEN integers is 138. Find the three integers.

4 lines