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WorksheetsMath Lab 7 Unit 1-4
Total questions: 498
Worksheet time: 14hrs 28mins
(+) and keep the sign
(-) and keep the sign of the larger
(-) and keep the sign of the smaller
-3 - 11
8
-14
14
-8
7+(−3)
−4
4
10
−10
−9+(−5)
−14
14
−4
−3
−8+20
−28
28
14
12
−8+13
21
−21
5
−5
−10+10
20
0
−20
100
Is the answer
–8 • (–3) positive or negative?
negative
positive
both
neither
6 × 7
42
52
48
49
-5 × 1
-5
5
6
-6
−20 ÷ 5
-4
4
-100
100
-16 ÷ 4
-4
4
3
-3
-35 ÷ 7=
5
-5
7
-7
-4(-1)(-2)
-8
8
-7
7
(−3)(−3)(−3)
27
-27
-9
9
Write 3 x 3 x 3 x 3 using an exponent.
81
34
43
12
How do you use exponents to represent numbers?
repeated multiplication
repeated addition
repeated subtraction
repeated division
What does the term "squared" mean?
raised to the power of 3
raised to the power of 4
raised to the power of 2
23 =
8
6
12
How would you represent the power using factors?
7 x 7
7 x 7 x 7
3 x 3 x 3 x 3 x 3 x 3 x 3
3 x 3
Write -54 in expanded form.
-5x5x5x5
(-5)(-5)(-5)(-5)
(-4)(-4)(-4)(-4)(-4)
-5+5+5+5
Write (-2)(-2)(-2)(-2) as a power
(-2)4
-24
24
4-2
Identify the base of (-5)8
5
-5
8
-8
18/4
3/24
1/8
1/6
21×38= ? Remember to simplify.
4/3
9/5
24/6
8/6
52×10= ? Remember to simplify.
20/5
4
1
20/50
6÷83= ? Remember to simplify.
2 and 1/4
4
18/8
16
121×32= ? Remember to simplify.
1
1 and 2/6
4/6
3
54÷31= ? Remember to simplify.
4/15
12
2 and 2/5
2
8÷31= ? Remember to simplify.
8/3
24
1/24
1
41×61= ? Remember to simplify.
2/3
3/2
1/24
24
72÷214= ? Remember to simplify.
147/8
8/147
2/3
3/2
2×65= ? Remember to simplify.
1
1 and 2/3
10/12
10/6
Match the following improper fractions to mixed numbers.
15/3
5
7/2
3 1/2
14/3
4 2/3
25/6
4 1/6
45/10
4 5/10
Divide the following fractions.
87÷251
Divide the following fractions.
643÷54
Match the following fraction with the reciprocal
1/6
6
3/4
4/3
2/7
7/2
9/10
10/9
3/8
8/3
9x3
24
27
36
28
9x4
38
72
32
36
9x8
99
81
72
63
What is the ratio of cats to dogs?
2:3
3:2
2:2
3:1
What is the ratio of oranges to bananas?
1:3
3:2
2:1
3:1
What is the ratio of red apples to green apples
7 apples to 3 green
4 red apples to 7 apples
4 red apples to 3 green apples
3 green apples to 4 red apples
Match the following ways to write a ratio
4 to 2
to
colon :
6 : 4
fraction
1/7
What is a Ratio?
Is a comparison of two quantities
To multiply two fractions
Strictly a fraction
Two decimals that can be multiplied
If Molly has 2 dogs for every 3 Cats...how many cats will she have if she has 6 dogs?
10
5
9
Which of the following best describes what a ratio is?
It's a comparison.
It's a total.
It's something multiplied by something else.
It's a decimal.
A ratio can be written as all the ways below EXCEPT which one?
3=4
3:4
3 to 4
There are 4 birds and 6 snakes. What is the ratio of birds to snakes in the simplest form?
6/4
2/3
1/3
10/16
In order to change from a decimal to a percent, you need to do what?
Simplify the ratio of
20 to 25
1 to 5
2 to 5
3 to 5
4 to 5
or
Chips Ahoy $2.50 for 14 oz.
Find the unit price of each and choose the better deal.
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
Solve for the missing number.
1
3
9
8
88 students for 4 classes.
How many students per class?
22 students per class
22 classes per student
25 students per class
25 classes per student
When adding integers with the same sign you ________________.
Subtract and keep the sign of the larger number.
Add and keep the sign.
A positive PLUS a positive will give you what on your final answer.
Positive
Negative
A negative PLUS a negative will give you what on your final answer.
Positive
Negative
Which is the rule for subtraction of integers?
same sign sum
different sign difference
add the opposite
(Keep, change, change)
just subtract
Express an integer: a withdrawal of $100
100
-100
5 x ( -3) =
-8 x (-8) =
7 x ( -4) =
-1 x 3 =
-2 + 4 =
1 - 2 =
-7 - 2 =
15 + 21 =
36
-6 + 4 =
-2
2
10
-10
What temperature is the thermometer showing?
4
-5
-4
3
What is the absolute value of -15?
|-15|= (a)
How far below sea level is the tire?
3
-1
2
-3
What is the distance between the fish and the tire
-1
3
1
-2
What temperature does the thermometer show?
16
19
-16
13
How far below sea level is the fish?
-2
1
-3
2
|-5| _____ 5
<
=
>
50 − 25=
25
50
-25
35
25−50=
2
-25
25
-50
If you have $60 in your bank account and spend $70, how much money is left in you account?
10
130
-10
13
37 + 73 =
146
100
110
62 −92÷4
What is the order of operations for solving this problem?
Subtract, Divide, Exponent
Exponent, Subtract, Divide
Exponent, Divide, Subtract
Solve: 10×8+52÷4
93
150
25
125
Which operation would you do first in the following equation?
10 - 4 ÷ 1 x 5
Subtraction
Division
Multiplication
Addition
Pick the correct order for Order of Operations
Parentheses, Multiplication, Division, Addition, Exponents, Subtraction
Exponents, Multiplication, Division, Addition, Parentheses, Subtraction
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
-2 x (3 + 8 ÷ 4)2
[25-(13+4)+4] ÷ 3
Which operation should you perform first in the expression
exponent
division
addition
subtraction
Who is correct?
Sallie
16÷2×8=64
Brian
16÷2×8=1
Sallie
Brian
I'm not sure
Both
When multiplying and dividing (for example, 4 x 5 / 2), how do you know which step to do first?
Always multiply
Always divide
Whichever comes first reading left to right
Whatever I feel like doing first
(2 + 7 - 1) ÷ 22
52 + (9 - 1) ÷ 4 × 10 + 1
5(-2) - 3 = -7
62 + (-1 - 8) + 5 - 7(3 - 4)
Simplify
34
-21
21
-34
______on a number line.
Which of the following is NOT a ratio?
3 dogs to 2 cats
3:2
3/2
3 and 2
A ratio is a comparison of (a) numbers or quantities.
A ___________ is a special kind of ratio that compares two unrelated measures. Ex. 400 miles in 12 hours.
Rate
Unit Rate
Proportion
A ___________ is a special kind of ratio that has a denominator of 1.
Rate
Unit Rate
Proportion
Which of the following is NOT equivalent to 1/3?
2/6
4/12
5/20
8/24
You have 5 green pencils, 3 red pencils and 7 blue pencils. What is the ratio of blue pencils to all pencils?
3:15
7:8
7:5
7:15
In Mr. Lollis's Homeroom Class, 10 people eat pizza, 5 eat hot wings and 5 brought their own lunch. In simpliest terms, wht is the ratio of those who eat hot wings to those who eat pizza?
5:10
5:15
1:2
5:20
Review: Match the following:
Compares two numbers: 1:2
Ratio
Compares two numbers of different measures. 6 books in 3 days.
Rate
A rate for one of something. $1 per candy bar.
Unit Rate
Two ratios that represent the same amount: 1/2 = 5/10
Equivalent
Which of the following best describes what a ratio is?
It's a comparison.
It's a total.
It's something multiplied by something else.
It's a decimal.
Which sentence accurately represents the following ratio:
The ratio of moons to suns is 4 to 8
There are 4 moons for every 8 suns
There are 4 moons for every 2 suns
The ratio of suns to moons is 2:1
A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?
3 : 2
3 to 2
6 : 4
2 : 3
Typically on a baseball team, there are 14 position players and 12 pitchers. What is the ratio of pitchers to position players.
Select all ratios that could be written for the situation (some may be simplified).
12:14
14 to 12
12/14
6 to 7
7:6
Which ratio is equivalent to 5 to 4
4 to 5
10 to 12
25 to 20
15 to 8
Select ALL the ratios that are equivalent to 16 : 6
3 to 8
32 : 12
4 to 2
8 to 3
The ratio of girls to boys at basketball practice is 2:3. If there are 12 girls at practice then how many boys are there?
15
18
20
21
A cookie recipe calls for 2 eggs and 3 cups of flour. How many cups of flour is needed with 8 eggs?
9 cups of flour
5 cups of flour
12 cups of flour
6 cups of flour
For a single batch of cookies, a recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?
6 eggs and 9 cups of flour
6 cups of flour and 9 eggs
8 eggs and 12 cups of flour
12 eggs and 8 cups of flour
Are these ratios equivalent?
32 and 98yes
no
What value is missing from the top right corner of the ratio table?
12
11
10
9
What value is missing from the middle row of the ratio table?
16
8
32
4
What value is missing from the bottom right corner of the ratio table?
8
10
12
14
Karl Anthony-Towns made 4 of his first 5 shots. If he were to take 20 shots in the game, how many shots is he on pace to make?
(a)
Express the following ratio in simplest form:
20:45
10:22.5
4:9
40:90
5:9
Express the following ratio in simplest form:
16:40
4:10
8:20
2:5
5:2
Express the following ratio in simplest form:
12:36
1:3
6:18
4:12
2:6
Express the following ratio in simplest form:
30:50
5:3
10:16.6
6:10
3:5
Express the following ratio in simplest form:
42:66
21:33
7:11
14:22
42:66
Express the following ratio in simplest form:
100:150
50:75
10:15
2:3
25:37.5
Express the following ratio in simplest form:
74:73
3:4
8:6
28:21
4:3
Express the following ratio in simplest form:
95:97
10:14
5:7
7:5
5:9
Express the following ratio in simplest form:
2316:239
2:1
4:3
16:9
16:23
Express the following ratio in simplest form:
31:32
1:2
3:2
2:1
3:6
Express the following ratio in simplest form:
61:32
3:4
3:2
6:2
1:4
Express the following ratio in simplest form:
21:32
3:4
1:2
3:2
4:3
Express the following ratio in simplest form:
61:32
3:2
1:4
6:2
3:12
Express the following ratio in simplest form:
85:72
10:4
5:2
35:16
16:40
Express the following ratio in simplest form:
127:65
7:10
42:60
7:5
21:42
What is the unit rate of paws per dog?
2
4
8
16
What is the unit rate in miles per hour?
60 miles per hour
120 miles per hours
1 mile per hour
180 miles per hours
What is the unit rate (in miles per hour) based on the table?
45
90
135
2
Which graph represents the data?
Which statement is the correct unit rate?
5 seconds per foot
5 feet per second
2.5 seconds per foot
2.5 feet per second
Using the table above, determine the equation of the line.
g = 5m
g = 10m
m = 1/5g
m = 1/10g
The owner of a city parking garage uses a rate table so that he can look up the parking charges quickly.
What is the unit rate?
$4.50
$6.75
$5.25
$7.50
The owner of a city parking garage uses a rate table so that he can look up the parking charges quickly.
What is the charge for 11/2 hours?
$5.00
$6.75
$5.25
$7.50
The owner of a city parking garage uses a rate table so that he can look up the parking charges quickly.
What would be the charge for 8 hours?
$55.00
$40.75
$48.00
$36.00
Kristin was charged $24.75 for parking. How many hours did she park her car at the garage?
5.5 hours
4 hours
4.75 hours
5.25 hours
Which statement about this graph IS NOT true?
The graph compares the ratio of the charged amount to the number of hours.
At 4 hours, the charged amount is $16.
The graph creates a straight line that increases every hour.
At 2 hours, the charged amount is greater than $5.50.
Choose ALL CORRECT statements.
*There may be more than 1.
The graph represents the ratio of weight per pound to cost.
At a weight of 8 pounds the cost is about $10.
The unit rate is $4 per pound.
At 9 pounds, the cost will be between $8 and $9.
The owner of a skating rink uses a rate table so that he can look up charges quickly.
What is the charge for 3 1/2 hours of skating?
$22.50
$24.50
$22.75
$23.75
The owner of a skating rink uses a rate table so that he can look up charges quickly.
How many hours did Jonah skate if he paid $45.50?
8 hours
6 hours
5 hours
7 hours
The owner of a skating rink uses a rate table so that he can look up charges quickly.
What is the unit rate?
$6.50 per hour
$7.50 per hour
$6.00 per hour
$7.00 per hour
A unit rate is a rate in which the numerator or denominator (or both) is one.
TRUE
FALSE
A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?
16 customers
10.5 customers
7.5 customers
14 customers
After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?
400 miles
325 miles
575 miles
650 miles
It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?
$3.60
$3.55
$3.40
$3.50
A rate is a ratio that compares
A part to a part
A part to a whole
Quantities with different units
Quantities with the same units
A car is going 50 miles per hour. A rate that describes this would have units of
Miles and cars
Miles and hours
Miles only
Hours only
A unit rate is a rate in which the unit in the denominator is:
0
3
1
2
You go to the grocery store to buy dog food. The store has three sizes available:
A 20-lb bag for $23.44
An 8-lb bag for $9.88
A 40-lb bag for $49.00
Which size bag has the lowest cost per pound rounded to the nearest cent?
The 8-lb bag
The 20-lb bag
The 40-lb bag
I have a cat
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?
400 miles
325 miles
575 miles
650 miles
A rate is a ratio that compares
A part to a part
A part to a whole
Quantities with different units
Quantities with the same units
A unit rate is a rate in which the unit in the denominator is:
0
3
1
2
What was the price PER gallon?
Mr. Simmonds drove 200 miles in 2 hours. How many miles did she drive per hour?
50 miles per hour
200 miles per hour
100 miles per hour
A store has 120 customers in 6 hours. What is the unit rate in customers per hour?
16 customers per hour
12 customers per hour
20 customers per hour
You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?
$4.95 per pizza
$5.75 per pizza
$6.50 per pizza
True
False
True
False
84=63
True
False
What number would make this a true statement?
1
3
9
8
x = 8
x = 10
x = 4
x = 5
5x=108
x=7
x=4
x=2
x=3
125=3x
x=75
x=50
x=27
x=43
x = 16
x = 28
x = 1/26
x = 26
x = 6
x = 25
x = 28
x = 17
c = 4
c = 8
c = 14
c = 10
Solve for x
x = 19.6
x = 5/98
x = 101/5
Which step should be solved first in the following equation?
[8−(12÷3)+2]×4
13+9
12÷3
3+2
2×4
What is the value of this expression?
50−(3×5)+(2×4)
(a)
What value is equivalent to this expression?
20−7×2+(12÷3)
78
30
10
3
James wants to save money to buy two new games. He had $35 from his birthday, and he saved $5.20 each week from doing chores. The amount of money that each game costs is represented by the expression below.
[35+4(5.20)]÷2
(a)
What is the value of the following expression?
65−[31+92]
1811
185
1813
184
Which statement is true about the parentheses in this expression?
5[(14+5)−3×2]
The parentheses indicate that 3x2 should be solved first
The parentheses indicate that 14+5 should be last
The parentheses indicate that 14+5 should be solved after 3x2
The parentheses indicate that 14+5 should be solved before 3x2
Brianna is baking some cookies. She used 21 a cup of flour in her first batch. She then makes 3 more batches with 2 cups of flour each. The total amount of flour that Brianna used can be found using the expression below.
21+(3×2)
How much flour did Brianna use?
621 cups
421 cups
721 cups
6 cups
Which statement is true about the parentheses in this expression?
36 ÷(2×2)+20
The parentheses indicate that 36÷2 should be solved first
The parentheses indicate that
2+20 should be solved first
The parentheses indicate that 2×2 should be solved first
The parentheses indicate that 2×2 should be solved last
Priscilla is packing up her books because she is moving:
~She packs 12 boxes, each with 10 books
~She donated 35 books to the library
~She was given 7 books for her birthday
Which expression can be used to show how many books Priscilla has?
[(12x10)-35]+7
12x10-35-5
(12x10)-(35+7)
(12+10)-35+7
Kevin took $30 to the candy store. He bought three bags of candy for $1.50 each and a tub of cotton candy for $2.60. The amount of change that Kevin receives can be represented using the expression below.
30−[(3×1.50)+2.60]
What is amount of change that Kevin received in dollars and cents?
(a)
Which step in the expression should be solved first?
13[7.9+4(2.3)]
13×7.9
4(2.3)
7.9+4
None of the above
Place the operations in order of how you would solve the following equation:
7 x [9 - (6+2)]
(a) (b) (c)
Place the operations in order of how you would solve the following equation:
(9-5) + (2x3)
(a) (b) (c)
Reorder the operations into the order of operations steps
Parentheses
Exponets
Multiply/Divide (Left to right)
Add/Subtract (Left to right)
What is the value of the following expression?
21+[43−82]
2
85
84
1
Solve the equation:
4×6.80
27.20
28.30
27.80
24.20
Solve the equation:
7×5.95
(a)
Solve the equation:
21−61
64
124
31
63
Solve the equation:
31+41
247
124
121
127
What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)
Subtraction
Multiplication
Division
Parentheses
Parentheses
Multiplication
Division
Subtraction
Parentheses
Subtraction
Multiplication
Division
Multiplication
Division
Subtraction
Parentheses
What did you get when you solved this?
22
19
I got a different answer
Which is the correct order of operations?
PEMDAS
DASMPE
PEMASD
SAPMED
Which should you look for FIRST when using the order of operations.
Parenthesis
Multiplication
Division
Addition
Which operation is performed FIRST? (13 - 1) + 4
addition
subtraction
multiplication
Which operation is performed FIRST: 38 + (9 x 6) ÷ 3
addition +
division ÷
multiplication X
What would be my first step? 3 + 4 x 6 - 4 =
addition
multiplication
subtraction
exponents
What are the steps to solve the following expression? 50 − 16 ÷ 2
add, multiply
subtract, divide
divide, subtract
subtract, multiply
Do you multiply or divide first?
Multiply
Divide
Go from left to right. Whichever comes first!
Do you add or subtract first?
ADD
SUBTRACT
it depends on which comes first moving left to right.
Determine whether the pair of ratios forms a proportion.
53, 2.51.5
Yes
No
Determine whether the pair of ratios forms a proportion.
3624, 9060
Yes
No
Solve the proportion.
26=14n
(a)
Solve the proportion.
104=k32
(a)
Solve the proportion.
3m=18126
(a)
If the values in the table represent a proportional relationship, find the missing value.
(a)
If the values in the table represent a proportional relationship, find the missing value.
(a)
A car travels 320 miles in 7.5 hours. If the car continues at the same rate, how far will it travel in 12 hours?
504
512
580
640
A bird flies 35 meters in 10 seconds. If it keeps flying at the same rate, how long will it take it to fly 14 more meters?
4 seconds
14 seconds
18 seconds
49 seconds
Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?
10 miles
40 miles
120 miles
200 miles
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
1.75 cups milk
2 cups milk
2.25 cups milk
2.5 cups milk
The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2.5 inches, what is the width?
0.7 inches
7.5 inches
9.5 inches
21.5 inches
-6x = 30
x = - 5
x = 24
x = 5
x = 36
−8t= −5
t = 3
t = -40
t = -3
t = 40
Solve the following equation
2y = 18
y = 36
y = 16
y = 9
y = 20
-5x = 25
x=
3 = −11c
33
14
-33
-14
Solve the equation:
−8x=−32
4
40
6
5
Solve for x.
x - 8 = -5
x = 13
x = -13
x = 3
x = -3
8 = x + 1
x + 7 = 12
4p = 16
2w=58
x/3 = 4
5x = 25
x + 8 = 15
7
8
9
6
x + 13 = 25
15
12
10
11
x - 10 = 20
30
10
20
15
5n = 30
8
12
6
5
-6x = 30
x = - 5
x = 24
x = 5
x = 36
4p = 16
How should you show your work to isolate the variable and solve the equation?
3x = 27.
15 = m - 5
m - 5 = -10
-15
15
-5
5
how would you solve this equation: 9x=153?
multiply by 9 on both sides
divide by 9 on both sides
add 9 to both sides
subtract 9 from both sides
-5x = 25
What is 153 as a percentage?
45%
30%
15%
20%
Express 5011 as a percent.
220%
22%
50%
55%
True/False: 8%= 1008
True
False
Percent is always out of
10
100
1000
10,000
Change to a percent
3/4
34%
.75%
1.3%
75%
Write 32 as a percent.
2.3%
66.6%
6%
23%
Phillies- 0.725
Yankees- 0.500
Mets- 0.325
Orioles- 0.825
1/10
10%
1/4
25%
1/3
33 1/3%
2/3
66 2/3%
3/4
75%
A team wins 17 out of 25 games. What percent of their games did they win?
68%
75%
86%
42%
Kenton completed 30% of the 90-page reading assignment. How many pages did he read?
24
27
30
33
In a race, 19 out of 50 runners finished in fewer than 30 minutes. What percent of runners finished in less than 30 minutes?
19%
38%
5019
10038
What percent is shaded in?
2%
20%
80%
What percent of the line segment does point C represent?
3%
30%
50%
3 inches
Twenty of the students in Hanna's class, or 80% of the class, voted to have pizza for lunch every Wednesday. How many students are in Hanna's class?
15
20
25
30
If 0.57 of the student body has a dog, what percent has a dog?
0.57%
5.7%
57%
If 0.3 of the students ate ice cream last night, what percent ate ice cream?
0.3%
3%
30%
300%
If Tom finished 108 if his homework, what percent is finished?
60%
75%
80%
90%
Convert 86 to a decimal
0.6
0.75
0.8
0.9
Convert 67% to a decimal
0.33
0.57
0.67
0.97
What is 1/4 as a decimal?
0.2
0.25
0.4
0.15
What is 7/10 as a decimal?
0.7
0.1
0.07
7
Which is closest to a 1/3 as a decimal?
0.3
0.33
0.34
0.333
What is 0.34 as a percentage?
0.34%
3.4%
34%
340%
What is 0.6 as a percentage?
0.6%
6%
60%
66%
What is 0.09 as a percentage
0.9%
9%
90%
What is 3/4 as a decimal?
0.25
0.50
0.75
0.34
What is 4/5 as a percentage?
45%
40%
90%
80%
0.528
0.6
0.24
Express 0.2 as a percentage
20%
2%
0.2%
200%
