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Writing and Solving Linear Equations

Total questions: 50

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
What do the following terms mean:
is
equal
the same as 
a)
+
b)
-
c)
=
d)
x
2.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
3.
Write an equation models the following statement:
 17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
4.
5.  After dropping 5ºF, the temperature was 37ºF.  Which choice models this situation?
a)
d - 37 = 5
b)
d + 5 = 37
c)
d - 5 = 37
d)
d + 37 = 5
5.
Which choice models this situation?
Robyn had some video games, then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10/4 = v
d)
4v = 10
6.
Jo is thinking of a number. Four less than 9 times the number is 176. How could I find Jo's number?
a)
9x - 4 = 176
b)
4 - 9x = 176
c)
9x + 4 = 176
d)
4x + 9 = 176
7.

What is the goal when solving an equation?

a)

To make zero pairs

b)

To isolate the variable

c)

To justify my answer

8.

What is a variable?

a)

A number that represents an unknown value

b)

A letter that represents an unknown value

9.

Find the difference means

a)

Add

b)

Multiply

c)

Subtract

d)

Divide

10.
The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?
a)
250x + 2 = 1000
b)
1000 + 2x = 250
c)
250 - 2x = 1000
d)
2x + 250 = 1000
11.
Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help me find out how much each desk weighs?
a)
34 + 3 = 157
b)
34x + 3 = 157
c)
3x + 34 = 157
d)
x + 34 = 157
12.
Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?
a)
98x + 45 = 458
b)
98 + 45x = 458
c)
45 + 98 = 458
d)
45x - 98 = 458
13.
The 30 members of a choir are trying to raise $1500 to cover travel costs to a singing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?
a)
30x + 600 = 1500
b)
30x - 600 = 1500
c)
x + 600 = 1500
d)
30x = 1500
14.
Nadea has $600 in her savings account. She withdraws $35 per week to buy gas for her car. Which equation can be used to determine how many weeks, w, it will take for Nadea to reduce her balance to $285? 
a)
(600 – 35)w = 285 
b)
35w – 600 = 285 
c)
600 – w = 285 
d)
 600 – 35w = 285
15.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

16.

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

17.

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

a)

8/h + 270 = 350

b)

350 = 270 + 8 + h

c)

350 = 270 + 8h

d)

350 -270 = h

18.
Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?
a)
800 + 5x = 4000
b)
800x + 5 = 4000
c)
4000 + 5x= 800
d)
800 + 5 = 4000
19.
1. Ted bought a dolphin poster for $12.  He now has $5.  Which choice models this situation?
a)
m - 12 = 5
b)
m - 5 = 12
c)
m + 5 = 12
d)
m + 12 = 5
20.
4. There are 3 tennis balls in each can.  The coach bought a total of 27 tennis balls.  Which choice models this situation?
a)
x/3 = 27
b)
27x = 3
c)
x/27 = 3
d)
3x = 27
21.

Last Friday Stefan had $35. Over the weekend, his parents gave him some money for washing the car and now he has $47. Write an equation to determine how much his parents paid him for washing the car.

a)

35−x=4735-x=47

b)

x35=47\frac{x}{35}=47

c)

35+x=4735+x=47

d)

35x=4735x=47

22.

Which choice models this situation?


Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

23.

Solve

2(3x - 5) = 20

(a)  

24.

Solve

14x - 8 = 22 + 20x

(a)  

25.

Solve

 2x + 43 = 4\frac{2x\ +\ 4}{3}\ =\ 4  

a)

 x = −32x\ =\ -\frac{3}{2}  

b)

x = 4

c)

x = 8

d)

x = 2

26.

Solve

4x - 5 + 3x + 2 = 18

a)

x = 11

b)

x = 5

c)

x = 3

d)

x = -3

27.

Solve


3x + 8(2x - 6) = 2 + 14x

(a)  

28.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
29.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
30.
Solve for x: 
2 - 4x = 3x - 12
a)
2
b)
-14
c)
10
d)
-2
31.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
32.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
33.
Solve for x:
10 = 3x -12
a)
22/3
b)
2/3
c)
10/9
d)
8
34.
Solve for x: 
7x + 5 + x - 3 + x = 5
a)
1/3
b)
3
c)
3/7
d)
1
35.
Solve for x:
7 - 2(10x + 1) = 25
a)
2/5
b)
2
c)
1
d)
-1
36.

Solve for b:      4b+8−2=10\frac{4b+8}{-2}=10   

a)

3

b)

-7

c)

7

d)

-3

37.

Solve the equation for x:  2x+6=3(x+2)−x2x+6=3\left(x+2\right)-x  

a)

 x=1x=1  

b)

 x=−2x=-2  

c)

No Solution

d)

All Real Numbers

38.

Which is the correct first step in solving the equation shown?

a)

Subtract 33 from both sides

b)

Add 33 from both sides

c)

Add 3.5 from both sides

d)

Multiply both sides by -3.5

39.

Solve for a.

-2( -4 + 2a) = 52

a)

a = 11

b)

a = -22

c)

a = -11

d)

a = 22

40.

Solve for x.

3(2x - 7) = 15

a)

x = -6

b)

x = 11/3

c)

x = 6

d)

x = 10

41.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

42.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

43.

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

44.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

45.

2(m+3)=2m+12

a)

No Solution

b)

One Solution

c)

Infinite Solutions

46.
a)

No Solution

b)

One Solution

c)

Infinite Solutions

47.

8m+12=2(4m+6)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

48.

5y-15=5(y-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

49.

12(y+2)=6(2y+4)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

50.

6(m+3)=5(m-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

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