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Module 4 Topic A Review

Total questions: 45

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

Linear or Nonlinear?

a)

Linear

b)

Non-Linear

2.

x5 −65 =y\frac{x}{5}\ -^{ }65\ =y  

a)

Linear

b)

Nonlinear

3.

y=x4y=x^4  

a)

Linear

b)

Nonlinear

4.

Linear or Nonlinear?

a)

Linear

b)

Non-Linear

5.

y = 6x + 5y\ =\ 6x\ +\ 5  

a)

Linear

b)

Nonlinear

6.

y=6x2 y=\frac{6}{x^2}\  

a)

Linear

b)

Nonlinear

7.

Simplify by combining like terms:

7b−3b+4f7b-3b+4f  

a)


10b+4f10b+4f  

b)

8b8b  

c)

4b−4f4b-4f

d)

4b+4f4b+4f   

8.

Simplify by combining like terms:

4t−t+34t-t+3  

a)

4t−44t-4  

b)

5t+35t+3  

c)

3t+33t+3  

d)

5t−35t-3  

9.

Simplify by combining like terms:

8x+4x−3−38x+4x-3-3  

a)

6

b)

6x6x  

c)

4x−64x-6  

d)

12x−612x-6  

10.

Simplify by combining like terms:

7x+2y+9x+87x+2y+9x+8  

a)

18xy+818xy+8  

b)

16x+2y+816x+2y+8  

c)

9xy+9x+89xy+9x+8  

d)

16x+10y16x+10y  

11.

Simplify by combining like terms:

12x−15y−18x+17y+20x12x-15y-18x+17y+20x  

a)

14x+y14x+y  

b)

14x+2y14x+2y  

c)

14x+3y14x+3y  

d)

15x+2y15x+2y  

12.
Which property is shown below?
__________________________
7n = 21 then n = 3
a)
Division Property
b)
Sorcery
c)
Reduction of Multiples
d)
Distributive Property
13.
If 2x - 5 = 10, then 2x = 15.
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Division Property of Equality
d)
Substitution
14.
If y/4 = 5, then y = 20
a)
Multiplication Property of Equality
b)
Division Property of Equality
c)
Addition Property of Equality
d)
Subtraction Property of Equality
15.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
16.
Solve:
32 - 7x = -6(x + 3)
a)
50
b)
3
c)
-3
d)
-50
17.
2 (n + 5) = -2 The first step in solving the following equation is ____________
a)
add five to both sides
b)
distribute 2 to all terms in the parenthesis
c)
add 2
18.
Solve:
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
19.
Which property justifies the work in solving this equation?
a)
Addition Property of Equality
b)
Additive Inverse Property
c)
Identity Property of Addition
d)
Subtraction Property of Equality
20.
2 + 14a = -8 + 9a
a)
-2
b)
3
c)
5
d)
-10
21.
3(x-5)-x=1
a)
x = 4
b)
x = 8
c)
x = 3
d)
x = 2
22.
√7
a)
Rational 
b)
Irrational
23.
√25
a)
Rational
b)
Irrational
24.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
25.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
26.

Which of the following is an irrational number?

a)

22/7

b)

√64

c)

√50

d)

2.5

27.

Is the number 0.333... (repeating) rational or irrational?

a)

Rational

b)

Irrational

28.

57\frac{5}{7}   is a/an:

a)

integer

b)

rational number

c)

whole number

d)

irrational number

29.
.141414141414...
a)
Rational 
b)
Irrational 
30.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
31.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
32.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
33.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
34.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
35.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
36.
Identify the fraction equivalent to the decimal below.
a)
2 4/99
b)
2   4/9
c)
2   2/5
d)
2 4/10
37.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
38.
a)
2   23/100
b)
2   23/10
c)
2   23/9
d)
2   23/99
39.

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

a)

9 in by 12 in

b)

3 in by 14 in

c)

10 in by 11 in

d)

8 in by 13 in

40.

Find three consecutive numbers that add to give you 54.

(a)  

41.

Find two consecutive odd numbers that add to give you 28.

(a)  

42.
The sum of four consecutive odd integers is equivalent to 232.  Which equation can be used to find the first integer? 
a)
4x = 232 
b)
x + x + 2 + x + 4 + x + 6 = 232 
c)
x + x + 1 + x + 3 + x + 5 = 232 
d)
x ⋅ x ⋅ x ⋅ x = 232 
43.

Carlos earns $8 per hour. How many hours must he work to earn $288?

(a)  

44.
WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
a)
4x=472
b)
9x=472
c)
4+9x=472
d)
4+x=472
45.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63