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Introduction to Algebra

Total questions: 45

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Which is the variable in the expression 3n+2=8

a)

3

b)

2

c)

8

d)

n

2.

Which is the constant term in the expression 3n+2=8

a)

2

b)

3

c)

n

d)

8

3.

Finish this expression 3n+2 for n=4

a)

14

b)

9

c)

12

d)

36

4.

Which expression fits the sentence: 5 more than a number times 2.

a)

5n+2

b)

2n+5

c)

n+5+2

d)

2n 5n

5.

What is an expression that could fit with this sentence:

I have 7 desks more than I have students in the classroom

a)

n/7

b)

7n

c)

7-n

d)

7+n

6.

What is the difference between an equation and an expression?

a)

There is no difference

b)

An equation has an answer and an expression could have an answer.

c)

Equation can only have one term after the equals sign and an expression could have one or more terms after the equals sign.

d)

An expression we do not know what one quantity is equal to and an equation we know what one quantity is equal to another quantity.

7.

Is this an expression or equation

3n+23

a)

expression

b)

equation

8.

Is this an expression or an equation

3n+14=26

a)

expression

b)

equation

9.

7x +9y+4x

a)

20xy

b)

11x+9y

c)

11x+9xy

d)

13xy

10.

5x+2a-4d

a)

5x+2a-4d

b)

3adx

c)

5x-2ad

11.

11+5x+x

a)

11-6x

b)

17x

c)

11+6x

12.

5s-7x-4s

a)

5-7xs

b)

s-7x

c)

-7x

d)

9s-7y

13.

7z-5-3z+1

a)

-4z+6

b)

0

c)

4z-4

14.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
15.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
16.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
17.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
18.
If p=3 and q=5,find 
p +q+2
a)
12
b)
10
c)
8
19.
If a=6 and b= 7,find the value of 15-a-b
a)
2
b)
3
c)
4
20.

When y is 2 then y + 10 = ?

a)

10

b)

8

c)

12

d)

2

21.

If x is 5 then 10 - x = ?

a)

15

b)

5

c)

10

d)

50

22.

When g is equal to 4, then 20 - g = ?

a)

24

b)

34

c)

4

d)

16

23.

50/x = 10 so x = ?

a)

5

b)

10

c)

40

d)

2

24.
5p + 4h - 2
Which are the variables? 
a)
5p, 4h, 2
b)
2
c)
p, h
d)
5, 4
25.

What are variables in math?

a)

Letters

b)

Numbers

c)

Expressions

26.

What is the variable in 3x - 5

a)

x

b)

5

c)

3

27.
What is the coefficient of x?
8 + 5x - y
a)
8
b)
0
c)
5
d)
-5
28.

What is a variable?

a)

A letter or symbol standing for an unknown value

b)

Just another confusing algebra thing

c)

Nothing useful

29.
In 3x=12, the x is called the
a)
coefficient
b)
variable
c)
constant (term)
d)
equation
30.
An Algebraic Expression has 
a)
variables, numbers and operations
b)
numbers
c)
operations and number
31.
Given the expression:
3x - 4
which of the following is a constant:
a)
3
b)
3x
c)
4
d)
x
32.
A symbol representing an unknown value is a:
a)
term
b)
expression
c)
variable
d)
equation
33.
What is the area of mathematics that generalizes the concepts and rules of arithmetic using symbols to represent numbers?
a)
equations
b)
algebraic expression
c)
algebra
d)
term
34.
What is a part of an expression separated by a plus or minus sign?
a)
variable
b)
constant
c)
term
d)
equation
35.
Evaluate the following expression for a = 2 and b = 5
a(b-8)
a)
2
b)
-6
c)
6
d)
-1
36.
Which axis runs vertically?
a)
x
b)
Y
37.
Which axis runs horizontally?
a)
x
b)
y
38.
Subtract 5 from x
a)
5 - x
b)
x - 5
39.
a)
True
b)
False
40.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
41.

5, 10, 15, 20, 25, ____, ____, ____

a)

30, 35, 40

b)

65, 35, 116

c)

26, 27, 28

d)

20, 15, 10

42.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
43.
In the expression  x - 53 - 4x - w + 6x + 8  , -53 is a 
a)
Coefficient
b)
Constant
c)
Variable 
d)
None of these
44.
Rewrite the expression by combining like terms.
3xy + 8x2 + 4y + 2y – 5x2
a)
3x2 + 3xy + 6y
b)
6y2 + 2xy + 2x
c)
7x2 + 35x
d)
3x2 + 6y + y
45.
Rewrite the expression by combining like terms.
8y2 + 7xy – 2y2  - 5xy + 2x
a)
3x2 + 3xy + 6y
b)
6y2 + 2xy + 2x
c)
7x2 + 35x
d)
3x2 + 6xy + y