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Intro to Algebra TEST

Total questions: 45

Worksheet time: 52mins

Name
Class
Date
1.

What is the difference between an expression and an equation?

a)

a variable

b)

an equal sign

2.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
3.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
4.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
5.
What do you call each part of an expression that is separated by a + or a -?
a)
coefficient
b)
constant
c)
variable
d)
term
6.

What is the coefficient of x? 8+5xy8+5x-y  

a)
8
b)
1
c)
5
d)
-5
7.

What is the coefficient in this expression?

3x+423x+4-2  

a)
x
b)
4
c)
3x
d)
3
8.

How many terms are in the following expression?

7y+37k27y+3-7k-2  

a)
2
b)
7
c)
4
d)
3
9.

Identify the constant in the expression

4y+2+x4y+2+x  

a)
x
b)
y
c)
4y
d)
2
10.

Determine whether the given value of the variable is a solution.

75 ÷ y =5    for y =1575\ \div\ y\ =5\ \ \ \ for\ y\ =15  

a)

Yes

b)

No

11.

Determine whether the given value of the variable is a solution.

4j + 12=46     for  j=94j\ +\ 12=46\ \ \ \ \ for\ \ j=9  

a)

Yes

b)

No

12.

Determine whether the given value of the variable is a solution.

4x  7 =5   for x = 34x\ -\ 7\ =5\ \ \ for\ x\ =\ 3  

a)

Yes

b)

No

13.

Evaluate the expression for the given value of the variable

14  2c     for  c=214\ -\ 2c\ \ \ \ \ for\ \ c=2  

a)

8

b)

18

c)

10

d)

-18

14.

Evaluate the expression for the given value of the variable

10x     for  x=1110x\ \ \ \ \ for\ \ x=11  

a)

110

b)

11

c)

101

d)

111

15.

Evaluate the expression for the given value of the variable

c7  for c=56\frac{c}{7}\ \ for\ c=56  

(a)  

16.

Match the phrase to the correct algebraic expression.

The product of 4 and 9

a)

4 + 9

b)

4(9)

c)

49

d)

9 - 4

17.

Match the phrase to the correct algebraic expression.

7 times a number plus 4

a)

7 x 4 + n

b)

7n - 4

c)

7(n + 4)

d)

7(4) + n

18.

Match the phrase to the correct algebraic expression.

two times x, increased by five

a)

2x - 5 

b)

2x + 5 

c)

2(x - 5) 

d)

2(5 + x) 

19.

Match the phrase to the correct algebraic expression.

The quotient of a and b  

a)

a  ba\ -\ b  

b)

a + ba\ +\ b  

c)

a(b)a\left(b\right)  

d)

a ÷ ba\ \div\ b  

20.

Match the phrase to the correct algebraic expression.

the difference of seven and y 

a)
7 - y 
b)
y - 7 
c)
y + 7 
d)
7y
21.
Match the clue word with the operation:  
SUM
a)
Add 
b)
Subtract
c)
Multiply 
d)
Divide
22.
Match the clue word with the operation: 
PRODUCT
a)
Add 
b)
Subtract 
c)
Multiply
d)
Divide
23.
Match the clue word with the operation: 
DIFFERENCE 
a)
Add 
b)
Subtract
c)
Multiply 
d)
Divide
24.
Match the clue word with the operation: 
QUOTIENT
a)
Add 
b)
Subtract
c)
Multiply 
d)
Divide
25.
What is the expression used in the table?
a)

5n + 2

b)
n + 13 
c)
6n - 2
d)

5n + 1

26.
What is the expression used in the table?
a)

3d + 1 

b)

3d + 2 

c)

3d -1

d)

3d - 2

e)

d + 13

27.
What is the expression used in the table?
a)

g + 7

b)
32
c)
g/8
d)

8g

28.
Find the expression.
x                  y
4                 8
8                16
3                 6
7                14
a)
x + 4
b)

2/x

c)
x + 2
d)
x - 4
e)

2x

29.

Simplify by combining like terms:

2x+4x3x2x+4x-3x  

a)

6x3x6x-3x  

b)

3x

c)

9x9x  

d)

3x-3x  

30.

Simplify by combining like terms: x+x+x+x+xx+x+x+x+x  

a)

3x+23x+2  

b)

  x5\frac{x}{5}  

c)

5x

d)

5x\frac{5}{x}  

31.

Simplify by combining like terms.

3xx+53x-x+5  

a)

4x+54x+5  

b)

2x52x-5  

c)

x + 5

d)

2x + 5

32.

Simplify by combining like terms.

7y4y+y7y-4y+y  

a)

4y

b)

12y

c)

3y+2y

d)

12y

33.

Solve the equation.

12+m=2812+m=28  

m=

(a)  

34.

Solve the equation.

18=j1918=j-19  

j=

(a)  

35.

Solve the equation.

27=3w27=3w  

w=

(a)  

36.

Solve the equation.

f4=6\frac{f}{4}=6  

f=

(a)  

37.

Solve the equation.

125=n+85125=n+85  

n=

(a)  

38.

Solve the equation.

g71=72g-71=72  

g=

(a)  

39.

Solve the equation.

4y=04y=0  

y=

(a)  

40.

Solve the equation.

9=r99=\frac{r}{9}  

r=

(a)  

41.

Solve the equation.

5x12=185x-12=18  

x=

(a)  

42.

Solve the equation.

16=12+4x16=12+4x  

x=

(a)  

43.

Solve the equation.

x6+15=20\frac{x}{6}+15=20  

x=

(a)  

44.

Solve the equation.

x154=3\frac{x-15}{4}=3  

x=

(a)  

45.

Solve the equation.

6(x11)=426\left(x-11\right)=42  

x=

(a)