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Worksheets2.4 Multi-Step Equations AND Fractions
Total questions: 51
Worksheet time: 4hrs 13mins
Name
Class
Date
1.
Of 100 children in Grade 5 and Grade 6, three-quarters have pets; 40 children have a dog, and 18 children have a cat. How many children have other kinds of pets?
a)
17 children
b)
300 children
c)
75 children
d)
40 children
2.
On six book shelves there are 72 books per shelf. How many books are there altogether? If 1/3 of these are non-fiction, how many fictional books are there?
a)
144 fictional books
b)
432 fictional books
c)
288 fictional books
d)
72 fictional books
3.
Dean buys 25 stickers on Monday and 17 on Tuesday, On Wednesday he gives 1/6 of his stickers to Jack. How many does he have left?
a)
42 stickers
b)
35 stickers
c)
17 stickers
d)
7 stickers
4.
A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in Seattle, and then 35 passengers board the train. How many passengers are on the train when it leaves the station?
a)
125 passengers
b)
300 passengers
c)
60 passengers
d)
35 passengers
5.
Caroline collected 3 1/4 bags of bottles to take to the recycling center.
1/3 of the bags are glass bottles
2/3 of the bags are plastic bottles
The recycling center only accepts plastic bottles. How many bags will the recycling center accept?
1/3 of the bags are glass bottles
2/3 of the bags are plastic bottles
The recycling center only accepts plastic bottles. How many bags will the recycling center accept?
a)
1 1/12
b)
1 1/6
c)
2 1/6
d)
3 1/12
6.
Andy went to the store and bought 3 bags of chips for $3.25 each and 2 cases of soda for $2.20 each. How much did he spend in total?
Solve the problem, showing your work in your workbook.
Solve the problem, showing your work in your workbook.
a)
$10.45
b)
$14.15
c)
$5.45
d)
$10.90
7.
The Girl Scout Troop sold wreaths for the holiday party. The cost for the materials for making the wreaths was $10.53. The amount of money they received from the sale of the wreaths was $23.60.What was the profit they made from selling the wreaths?
a)
$14.07
b)
$34.13
c)
$13.07
d)
Not Here
8.
Brooklyn has a fish tank that holds 16 gallons of water. She removed 2.35 gallons of water while cleaning it. How many gallons of water are left in the fish tank?
a)
18.35
b)
2.19
c)
37.60
d)
13.65
9.
a)
A
b)
B
c)
C
d)
D
10.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
11.
Translate:
Four times a number plus six IS 30.
Four times a number plus six IS 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
12.
5x + 6 -2x = 3( x + 2)
a)
no solution
b)
infinite solutions
c)
one solution x=4/3
13.
Determine the type of solution:
4-2x = 2(x+4)
4-2x = 2(x+4)
a)
one solution, x=-1
b)
one solution, x=3
c)
no solution
d)
infinite solutions
14.
3x - 2 = 3( x - 2)
a)
no solution
b)
one solution
c)
infinite solutions
15.
7x + 4 - 2x = 6(x + 1) - x
a)
no solution!
b)
infinite solutions!
c)
one solution, x = -1!
d)
one solutoin, x=-2
16.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
17.
What is the value of x if the perimeter of the triangle is 36 cm?
a)
x equals 8
b)
x equals 36
c)
x has no solution
18.
7x + 4 - 2x = 6(x + 1) - x
a)
no solution!
b)
infinite solutions!
c)
one solution, x = -1!
19.
5x + 6 -2x = 3( x + 2)
a)
no solution
b)
infinite solutions
c)
one solution
20.
3x - 2 = 3( x - 2)
a)
no solution
b)
one solution
c)
infinite solutions
21.
5 - x = x - 5
a)
x = 5
b)
infinite solutions
c)
no solutions
22.
-18 = -4x + 31 - 6x + 27
a)
x = 24
b)
x = 7.6
c)
x = -38/5
d)
x = -11
23.
-6x - 22 = 22 - 2x
a)
x = -11/2
b)
x = -5.5
c)
x = -11
d)
x = 11
24.
2(6b + 1) = 4(b - 5) -2
a)
b = - 2.75
b)
b = -7/8
c)
b = 3
d)
b = -3
25.
Which equation has a solution of 24?
a)
-48 + 12 + x = -12
b)
-14 + 12 + x = -12
c)
-31x - 41x = -48
d)
-46x + 48x = 12
26.
Who is Optimus Prime?
a)
leader of the decipticons
b)
leader of the autobots
c)
part of the brave police
d)
a man-made robot
27.
What are the names of the aerialbots?
a)
Onslaught, Brawl, Blast Off, Swindle, and Vortex
b)
Scrapper, Hook, Bonecrusher, Long Haul, Mixmaster, and Scavenger
c)
Silverbolt, Air Raid, Fireflight, Skydive, and Slingshot
d)
Hot Spot, First Aid, Blades, Streetwise,and Groove
28.
Which is the good guys
a)
autobots
b)
decipticons
c)
insecticons
d)
predicons
29.
Which autobot is this? (Hint: take a good look at the picture)
a)
bumblebee
b)
blaster
c)
sideswipe
d)
ultra magnus
30.
who's is he? (Hint: he transforms into a boombox)
a)
starscream
b)
megatron
c)
soundwave
d)
Prowl
31.
Desmon and Garrett are running a marathon. Desmon raised $3,654 and Garrett raised $2,765. Jesse and Mikayla are running the same marathon. Jesse raised $4,876 and Mikayla raised $2,874. How much more money did Jesse and Mikayla raise than Garrett and Desmon?
a)
$2,756
b)
$1,419
c)
$1,331
d)
$14,169
32.
Vanessa was making 7 salads. She opened a can of olives and put 6 olives on each salad. Then she ate the rest of the olives in the can. If there were 51 olives to start with, how many olives did Vanessa eat?
a)
9
b)
64
c)
38
d)
11
33.
867 books were in the school library. 322 books were checked out in the morning. Then 131 more books were check out in the afternoon. How many books are still in the library?
a)
545
b)
414
c)
736
d)
453
34.
2 + 2( -2 + 6x) = 6(3x + 3) - 4x
a)
x = -14
b)
x = -10
c)
x = 6
d)
No Solution
35.
-4( 5x + 3 ) = 4( 7 - 3x )
a)
x = -5
b)
x = 15
c)
x = 12
d)
Many Solutions
36.
5( 8r + 7 ) - 7 = -6r + 8( 5r + 5)
a)
r = -10
b)
r = 2
c)
r = 15
d)
r = -8
37.
-6( -6 + 5k) - 4(8k - 6) = -64
a)
k = 5
b)
Many Solutions
c)
k = -12
d)
k = 2
38.
-4p - 8 = -8(-8 + 5p)
a)
p = 8
b)
p = 13
c)
p = -1
d)
p = 2
39.
-n + 4n = -12 + 3n - 8 + 4n
a)
n = -4
b)
n = 16
c)
n = 4
d)
n = 9
40.
0.75 + 2(a - 0.5) = 3a - 0.4
a)
0.15
b)
5
c)
1.5
d)
3.75
41.
Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x
-3x+1=x+9-4x
a)
one solution
b)
infinitely many
c)
no solution
42.
8 = (3⁄4)a +12 - a + 4
a)
32
b)
-6
c)
-4
d)
4
43.
-15 = 5a +12- 2a + 6
a)
-11
b)
-3
c)
10
d)
7
44.
Micheal worked out the following equation but went wrong somewhere. Find the first step he worked wrong and choose that step below. Explain in complete sentences what he did wrong. Fix his error and solve the equation.
½(6x + 4) + 2 = 2(2x - 3)
1. Distribute ½ to 6x & 4 = 3x + 2 + 2
2. Distribute 2 to 2x & 3 = 4x + 6
3. Combine like terms: 3x + 4 = 4x + 6
4. Subtract 4 from both sides
5. Subtract 3x from both sides
6. Divide by -4x
7. x = 2
½(6x + 4) + 2 = 2(2x - 3)
1. Distribute ½ to 6x & 4 = 3x + 2 + 2
2. Distribute 2 to 2x & 3 = 4x + 6
3. Combine like terms: 3x + 4 = 4x + 6
4. Subtract 4 from both sides
5. Subtract 3x from both sides
6. Divide by -4x
7. x = 2
a)
Step 1
b)
Step 2
c)
Step 3
d)
Step 4
45.
What is the first step to solve this equation:
11 - 3x = 44
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.
46.
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9
47.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
48.
Solve the equation:
x/3+ 10 = 15
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
49.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
50.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
51.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
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