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Worksheets

Week 2 - Equations

Total questions: 56

Worksheet time: 14hrs 0mins

Name
Class
Date
1.
6x-7=12
a)
5/6
b)
19/6
c)
2
d)
6/19
2.
-3(2c-5)=15
a)
-5
b)
5
c)
0
d)
6
3.
a)
4
b)
3
c)
-4
d)
-3
4.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
5.
a)
1/7
b)
47/36
c)
7
d)
23
6.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
7.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
8.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

9.
Solve:
2(4x-3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
10.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

11.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

12.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

13.

5(3 + 2)= ?

a)

20

b)

25

c)

30

d)

35

14.

According to the correct order of operations, what should be done first when simplifying any mathematical expression?

a)

Addition

b)

Exponents

c)

Multiplication

d)

Whatever is inside the parentheses

15.

If m = 9, what is 4m + 2m?

a)

54

b)

24

c)

78

d)

18

16.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
17.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
18.

Simplify the expression.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

19.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
20.

Which represents the absolute value of 10?

a)

10

b)

-10

c)

-1/10

d)

11

21.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

22.

Evaluate the expression

a)

2

b)

-2

c)

6

d)

-6

23.

Evaluate the expression.

I -808 I

a)

808

b)

-808

24.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
25.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
26.

|x + 10| = 2

a)

x = -8, x = -12

b)

x = -1, x = 5

c)

x = 10, x = 2

d)

No Solution

27.

|v + 8| − 5 = 2

a)

v= -1, v= -15

b)

v = -1. v = -5

c)

v = -15, v= -5

d)

No Solution

28.
What do you multiply each term of an equation by to clear fractions?
a)
The greatest common factor
b)
The least common denominator
c)
whatever number you want
d)
zero
29.
a)
1/3
b)
2/3
c)
1
d)
2
30.

When solving this equation by clearing the fractions, what number would you multiply each term in the equation by?

23a+14a−8=7\frac{2}{3}a+\frac{1}{4}a-8=7  

a)

3

b)

4

c)

12

d)

15

31.

Solve for x by clearing the fractions. 14(5x+6)+3=2\frac{1}{4}\left(5x+6\right)+3=2  

a)

x=-2

b)

x=2

c)

x=3/4

d)

x=5

32.

12(2x−2)=5\frac{1}{2}\left(2x-2\right)=5  

Solve for x.

a)

x=5

b)

x=4

c)

x=7

d)

x=6

33.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
34.
Solve for a
a)
29/12
b)
41/12
c)
107/12
d)
13
35.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
36.
a)
4
b)
12
37.

Solve:

a)

-4

b)

10

c)

3

d)

-4

38.

Solve:

a)

4

b)

6

c)

-2

d)

5

39.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
40.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
41.

-4(3x + 2) = 3(-4x + 5)

a)

No Solution

b)

x=23

c)

All Real Numbers

d)

x=-23

42.
What is the first step to solve this equation:
-11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
43.

-5(2x - 4) = 2(10 - 5x)

a)

No Solution

b)

x=-10

c)

All Real Numbers

d)

x=14

44.

6x - 18 = 4(2x - 3) - (2x + 6)

a)

No Solution

b)

x=12

c)

All Real Numbers

d)

x=-15

45.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
46.

y + 65 = 182

a)

y = 107

b)

y = 117

c)

y = 247

d)

y = 123

47.

Solve:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

All Real Numbers

48.

3r - 5 = 2r

a)

No solution

b)

All Real Numbers

c)

r = 5

49.

3x - 8 = 3(x - 4) + 1

a)

x=18

b)

no solutions

c)

All Real Numbers

d)

x=-2/3

50.

3x - 7 = 3(x - 3) + 2

a)

x=2/7

b)

no solutions

c)

All Real Numbers

d)

x=-4

51.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
52.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
53.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
54.

y = 2x −2   solve for xy\ =\ 2x\ -2\ \ \ solve\ for\ x  

a)

x = y−22x\ =\ \frac{y-2}{2}  

b)

x = 2y−2x\ =\ 2y-2  

c)

x=y+22x=\frac{y+2}{2}  

d)

x = y +2x\ =\ y\ +2  

55.

y= zx  solve for xy=\ \frac{z}{x}\ \ solve\ for\ x  

a)

x = yzx\ =\ \frac{y}{z}  

b)

x = zyx\ =\ \frac{z}{y}  

c)

x = yzx\ =\ yz  

d)

x = y − zx\ =\ y\ -\ z  

56.

How are you felling so far about this review?

a)

No problems! I am feeling good about this!

b)

Pretty Good.

c)

Not bad

d)

I need a little help, let me email Mr. Scimone.