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Writing and Solving Equations

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
2.
Solve:
a)
x=4
b)
x=4/3
c)
x=-4
d)
x=1
3.
Solve for x.
3x + 2 = 6x - 7
a)
x = 9
b)
x = 3
c)
x = -3
d)
x = 7
4.
Solve for x. 
5x - 10 = x + 6
a)
No solution
b)
x = 1
c)
x = 2
d)
x = 4
5.
-14+6b+7-2b=1+5b
a)
no solution
b)
-8
c)
45
d)
-35
6.
4x - 9x + 3 = -32
a)
-35/13
b)
7
c)
-7
d)
-29/5
7.
Write an expression:
Jan has $45 and earns $10 for each hour of babysitting for her clients
a)
10x - 45
b)
45x - 10
c)
10x + 45
d)
45x + 10
8.
Write an expression for the number of envelopes left to stuff:
Grady stuffs envelopes for corporate mail-outs after school.  Today's mail-out is for 2000 envelopes. He can stuff 15 envelopes per minute.
a)
2000 - 15x
b)
15x + 2000
c)
15 - 2000x
d)
2000x + 15
9.
Downloading Music
Chris is comparing two music downloading websites.  The first site charges a $15 membership fee and then charges $0.50 per song.  The second website has no membership fee, but they charge $0.80 per song.
What equation could be used to find the number of songs where the two sites charge the same amount?
a)
15x + 0.50 = 0.80x
b)
15 + 50x = 0.80x
c)
15 + 0.50x = 0.80x
d)
15.50 = 0.80x
10.
Downloading Music
Chris is comparing two music downloading websites.  The first site charges a $15 membership fee and then charges $0.50 per song.  The second website has no membership fee, but they charge $0.80 per song.
What inequality can be used to represent the situation where the first site becomes the better deal?
a)
15x + 0.50 < 0.80x
b)
15 + 50x > 0.80x
c)
15 + 0.50x < 0.80x
d)
15.50 > 0.80x
11.
Mrs. Schmidt's family bought lunch from Culvers.  They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mrs. Schmidt bought. Write the equation and solve for x.
a)
-5+6x = 41, 4 meals
b)
6x + 5 = 41, 6 meals
c)
6x = 36 meals
d)
5 + 6x = 41, 7 meals
12.
2. Cheryl gets paid $8 per hour at her job at the record store.  She made a total of $96 last week.  Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
13.
Which equation will help you find the solution?
a)
24x + .10 < .25x
b)
24 + .10x > .25x
c)
24 + .10x < .25x
d)
(24 + .10)x > .25x
14.
Write an equation or inequality to represent the situation.  
a)
55 + 4p > 110
b)
55 + 4p < 110
c)
55 + 4p = 110 
d)
110 < 55p + 4
15.
Write an equation to represent the situation.
a)
376 + 12h > 280 + 15h 
b)
376 + 12h < 280 + 15h 
c)
376 + 12h = 280 + 15h 
d)
Huh?!  
(ONLY lazy peeps pick this!)
16.
Write an equation or inequality to match the situation.
a)
312 + 12w = 36w
b)
312 + 12w > 36w
c)
312 + 12w < 36w
d)
312 + 12w = 36
17.
Proper name for this symbol....
a)
greater than
b)
greater than or equal to
c)
less than
d)
less than or equal to
18.
Write an equation to match the problem situation.  
a)
2x + 3 = 21
b)
13x + 2 = 21
c)
15x + 2 = 21
d)
2x + 13 = 21
19.
Write an equation to match the given situation.
a)
45h + 44 = 189
b)
179 = 45h + 45h
c)
45h + 45 = 179
d)
44 + 45h = 179
20.
Write an equation to represent the problem situation.
a)
18 + .5h = 12 - 2x
b)
.5h + 12 = 2h + 18
c)
12 - .5h = 18 - 2h
21.
Write an equation to represent the problem situation.
a)
12.50x + .40x = 14.75x + .25x
b)
12.50 + .40x = 14.75 + .25x
c)
40x + 12.5 = 14.75x + .25x
22.
Write an equation to represent the problem situation.
a)
$100, who cares!
b)
20x + 40 = 100
c)
4x - 20 = 100
d)
4x - 20x = 100
23.
a)
25+20x = 65+30x
b)
25+65 = 30x+20x
c)
25x+30 = 65x+20
d)
25+30x = 65+20x
24.
a)
25+30x > 65+20x
b)
25+30x < 65+20x
c)
25x+30 > 65x+20
d)
25x+30 < 65x+20
25.
Which situation best matches the following equation?
0.25x + 45 = 0.75x + 25
a)
Company A charges a membership fee of $45 and $0.25 per movie rented. Company B charges a membership fee of $25 and $0.75 per movie rented. Represent the situation with an equation. 
b)
Company A charges a membership fee of $0.25 and $45 per movie rented. Company B charges a membership fee of $0.75 and $25 per movie rented. Represent the situation with an equation. 
c)
Company A charges a membership fee of $25 and $0.25 per movie rented. Company B charges a membership fee of $45 and $0.75 per movie rented. Represent the situation with an equation. 
d)
Company A charges a membership fee of $0.25 and $25 per movie rented. Company B charges a membership fee of $0.75 and $45 per movie rented. Represent the situation with an equation.