WorksheetsRational Review (and more)
Total questions: 75
Worksheet time: 6hrs 15mins
Name
Class
Date
1.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
HINT: Find the difference.
HINT: Find the difference.
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
2.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
3.
The temperature in a town is 34.1°F during the day and −8.6°F at night. Find the difference in the temperatures.
a)
42.7
b)
25.5
c)
42.7°F
d)
25.5°F
4.
Which pair shows equivalent numbers?
a)
0.31, 1/3
b)
0.7, 7/100
c)
0.08, 8/10
d)
0.5, 1/2
5.
Write the fraction as a decimal.
5 2/10
5 2/10
a)
52/10
b)
5.210
c)
5.2
d)
5.02
6.
How would you express .005 as a fraction?
a)
5/10
b)
5/100
c)
5/1,000
d)
5/10,000
7.
Tim did 1/12 of a load of laundry on Sunday and 1/4 of a load of laundry on Saturday. What fraction of laundry did Tim do in total?
a)
2/16 loads done
b)
1/3 loads done
c)
2/3 loads done
d)
2/12 loads done
8.
Level 2
Solve for a
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
9.
Level 3
Solve for a
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
10.
Hidden Treasure Island is about 12 miles long. Audree has a map of the island. If the scale on the map is 1 inch = 1/2 mile, what is the length of the island on Audree's map?
a)
6 miles
b)
24 inches
c)
6 inches
d)
24 miles
11.
The air temperature in the North Pole in the morning was 3 degrees Celsius. By 10:00am the temperature dropped 12 degrees. By noon the temperature had gone up 5 degrees. At 3:00pm the temperature went up 9 degrees. By nightfall the temperature had dropped 16 more degrees. What was the temperature at the North Pole at nightfall?
a)
11 degrees
b)
0 degrees
c)
-11 degrees
d)
-9 degrees
12.
In Tim's class of 25 students, 15 of the students traveled outside of Texas. Which number does NOT represent the part of the class that has traveled outside of Texas.
a)
10/15
b)
60%
c)
0.6
d)
3/5
13.
Devon had his two friends over for pizza. Devon ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left?
a)
1/4
b)
1/8
c)
1/3
d)
1/5
14.
Joe went scuba diving. He descended down to 5 feet below sea level, stopped, then went down another 20 feet. What is Joe's level?
a)
25 feet
b)
-15 feet
c)
15 feet
d)
-25 feet
15.
Chris decided to do his history homework a little bit each night. On the first night he did 1/5 of the homework, the second night he completed 1/4 of the homework, and the third night he worked 1/2 of the homework. How much of the homework has Chris completed?
a)
19/20 or .95
b)
1/2 or .5
c)
1/3 or .33
d)
1/10 or .1
16.
After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?
a)
400 miles
b)
325 miles
c)
575 miles
d)
650 miles
17.
It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?
a)
$3.60
b)
$3.55
c)
$3.40
d)
$3.50
18.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
19.
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
20.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
21.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
22.
Does the equation show a proportional relationship?
a)
Yes
b)
No
23.
Based on the information in the table, what is the constant of proportionality?
a)
k = 8
b)
k = 20
c)
k = 5
d)
k = 10
24.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
25.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
26.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
27.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
28.
The Y axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
29.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
30.
Which letter represents the first number in an ordered pair?
a)
X
b)
Y
c)
T
d)
G
31.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
32.
5÷ 3 1
a)
10
b)
1/3
c)
5/15
d)
15
33.
6 ÷ 32
a)
8
b)
9
c)
10
d)
8 1/3
34.
61÷2=
a)
1/6
b)
1/12
c)
2/6
d)
2/12
35.
16÷ 85
a)
3/5
b)
5/128
c)
12
d)
25 3/5
36.
Lydia has 1/8 pound of sugar. She needs to divide the sugar into 3 bags. What fraction of the pound will be in each bag?
a)
1/24
b)
24
c)
1/22
d)
2/24
37.
2/9 as a decimal
a)
0.2222...
b)
0.22
c)
0.2
d)
0.222
38.
7/8 as a decimal
a)
0.958
b)
0.875
c)
0.739
d)
0.856
39.
3/6 as a decimal
a)
0.6
b)
0.5
c)
5.0
d)
5.5
40.
9/20 as a decimal
a)
0.36
b)
0.45
c)
0.48
d)
0.39
41.
18/60 as a decimal
a)
0.2
b)
0.4
c)
0.3
d)
0.5
42.
5/6 as a decimal
a)
0.8333...
b)
0.8756
c)
0.9444...
d)
0.9358
43.
What is the least common denominator you could use to subtract 1/3 and 1/4?
a)
3
b)
4
c)
24
d)
12
44.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
45.
a)
5/6
b)
1
c)
1 1/6
d)
8/6
46.
a)
1/12
b)
1
c)
2/35
d)
23/25
47.
The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
48.
What is a scale drawing?
a)
A drawing that shows a real object enlarged or reduced
b)
A drawing of the weight of an object
c)
A life size drawing of an object
d)
A drawing that shows all the sides of a building
49.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
50.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.
What scale was used to create the map?
What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)
1 inch = 40 miles
1 inch = 40 miles
51.
19 + a = -50
a)
a = -950
b)
a = -69
c)
a = -31
d)
a = -50/19
52.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
53.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
54.
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.
55.
What is the second step in solving the following equation?
-3x + 5 = 20
-3x + 5 = 20
a)
Subtract 5 from both sides
b)
Divide both sides by -3
c)
Divide both sides by 3
d)
add 3x to both sides
56.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
57.
5(2 + 8)
a)
(5 x 2) + (5 x 8)
b)
(5 x 2) x (5 x 8)
c)
(5 + 2) + (5 + 8)
d)
(5 + 2) x (5 + 8)
58.
2(6k-1)= -38
a)
k= 1
b)
k= 9
c)
k= -4
d)
k= -3
59.
8(7-y) = -24
a)
y= 2
b)
y= 10
c)
y= 15
d)
y= -5
60.
8(x + 5)
a)
8x + 13
b)
8x + 5
c)
8x + 40
d)
13x
61.
What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.
a)
40 + c = 30.98
b)
30.98 + c = 40
c)
c - 40 = 30.98
d)
c - 30.98 = 40
62.
Mei was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought nineteen more. How many did she start with if she now has 45?
a)
2/x + 19 = 90
b)
x/2 + 19 = 45
c)
2x +19 = 109
d)
19x + 2 = 71
63.
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
64.
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
65.
The length of a rectangular field is 75 yards. This is 3 yards more than twice the width. How could I find the width of the field?
a)
2w + 3 = 75
b)
2/w + 3 = 75
c)
2w - 3 = 75
d)
3w = 75
66.
Grandpa Gump is 63 years old. His age is 2 years less than 5 times the age of Billy Gump. How could I find out how old Billy is?
a)
x/5 - 2 = 63
b)
5x - 2 = 63
c)
2x - 5 = 63
d)
5x + 2 = 63
67.
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
68.
Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?
a)
40 + 7.50x = 115
b)
40x + 7.50 = 115
c)
40 + 7.50 = 115
d)
40 + 17.50x = 115
69.
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
70.
Mo is thinking of a number. Eleven more than one third of a number is -1. Which equation would help me find Mo's number?
a)
1/ 3 + 11 = -1
b)
3x + 11 = -1
c)
1/3x + 11 = -1
d)
1/3x + 11 = 1
71.
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
72.
Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?
a)
4 + 9x = 73
b)
4x = 73
c)
4x + 9 = 73
d)
9x + 4 = 73
73.
Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?
a)
1/2d + 27
b)
d + 27 = 58
c)
1/2d + 27 = 58
d)
1/2d - 27 = 58
74.
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
75.
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
100 %
