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Math
1. A student was given two functions to analyze.
Function 1:
Function 2: Contains the values in the table.
What is the distance between the y-intercepts for the two functions?
A.
B.
C.
D.
10
7
5
4
2. Which function has a rate of change that is the same as the rate of change of the function graphed below?
A.
B.
C.
D.
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9x + 12y = 3
4y − 3x = −4
24x − 18y = 4
12y + 16x = 15
Interpreting Functions
3. Which table shows y as a function of x?
A.
B.
C.
D.
4. To finish a home improvement project, Scott needs to rent a truck.
The equation y = 19.95 + 20x represents the total cost, y, of renting a truck from Company A for x hours.
The table below shows the cost for renting a truck from Company B for various lengths of time.
Time (hours)
1
3
5
7
12
Total Cost
$36.00
$71.00
$106.00
$141.00
$228.50
Which statement accurately describes the per hour charges for each company?
A.
B.
C.
D.
Company B charges $2.45 less per hour than Company A.
Company B charges $2.50 less per hour than Company A.
Company B charges $2.45 more per hour than Company A.
Company B charges $2.50 more per hour than Company A.
5. Beginning in 2000, the annual average movie ticket price in the U.S. increased by a constant amount until 2015.
In 2005, the average cost of a ticket was $6.40.
In 2010, the average cost of a ticket was $7.90.
How much did a ticket cost in 2000?
Answer: In 2000, the average cost of a movie ticket in the U.S. was $
.
6. In the table below, y is a linear function of x.
x
y
−7 −39
1
−7
12 37
What is the value of y when x = 0?
Answer: The value of y is
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.
Interpreting Functions
7. The graph below shows the variation in the average temperature of Earth’s surface from 1950–2000,
according to one source.
During which years did the temperature variation change the most per unit time? Explain how you determined your answer.
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Interpreting Functions
8. Marcel claims that the graph below represents a function.
State whether Marcel is correct. Justify your answer.
9. For a recently released movie, the function y = 119.67(0.61)x models the revenue earned, y, in millions of dollars each
week, x, for several weeks after its release.
Based on the equation, how much more money, in millions of dollars, was earned in revenue for week 3 than for week 5?
A.
B.
C.
D.
37.27
27.16
17.06
10.11
10. Use the graph of the two linear functions below to answer the following question.
Function 1: Function 2:
x h(x)
-6 -13.5
g(x) = 4x + 6 -1 -9.75
4
-6
16
3
What is the distance between the x-intercept of function g and the x-intercept of function h?
A.
B.
C.
D.
10.5
12
13.5
15
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Interpreting Functions
1. Which expression can be used to find the value of n in the table below?
Input Output
3
1
6
2
9
3
12
n
15
5
A.
B.
C.
D.
12 + 3
12 – 3
12 × 3
12 ÷ 3
2. Shawn has harvested 234 oysters. Then he rakes in 22 more. He sells 68 of them at the market. How many oysters does
Shawn have left?
A. 109
B. 127
C. 144
D. 188
3. Kendra and Kenneth are bagging potatoes.
Each bag gets 12 potatoes.
Kendra filled 3 bags.
Kenneth filled 4 bags.
What is the total number of potatoes the friends bagged?
A.
B.
C.
D.
19
84
96
99
4. Which number sentence could be used to help find the missing number in the equation below?
11 × ? = 66
A.
B.
C.
D.
66 + 11 =
66 – 11 =
66 × 11 =
66 ÷ 11 =
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?
?
?
?
Operations and Algebraic Thinking
5. Your class was given the "Question of the Day".
Skye was the first one done and turned in the following answer without showing any work. But, she did show the work for
checking her solution.
What is wrong with her answer? Explain.
6. Lewis is looking at his 7 times table. Which pattern below would he notice about the numbers?
A. All of the numbers are odd
B. All of the numbers are even.
C. The sum of the digits of each number is divisible by 7.
D. The numbers alternate between odd and even.
7. Look at the equation below:
15 × 7 = 105
Which statement best describes this equation?
A.
B.
C.
D.
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The number 105 is 15 times as many as the number 15.
The number 105 is 7 times as many as the number 15.
The number 7 is 15 less than the number 105.
The number 105 is 15 less than the number 7.
Operations and Algebraic Thinking
8. Flora is keeping track of how customers use the post office. On Mondays, the post office is open for 8 hours. Each hour she
sees 9 people go to the counter for help, and 6 people go to retrieve their mail from the P.O Boxes.
Counter: 0, 9, 18...
P.O. Boxes: 0, 6, 12...
If Flora records the number of customers she sees as an ordered pair [with (0, 0) being before the post office opened], what
will the ordered pair be at the end of the day? (The first number should represent the people at the counter and the second
number should represent the people going to P.O. Boxes.)
Answer: (
,
)
9. Edward has determined that the expression (7 × 12) – (16 ÷ 2) can be used to determine how many buildings his electrical
crew can work on each week. If he has double the amount of work orders this week, how should he double the expression?
A. [(7 × 12) – (16 ÷ 2)] + 2
B. 2 × (7 × 12) – (16 ÷ 2)
C. [(7 × 12) – (16 ÷ 2)] × 2
D. (7 × 12) – 2 × (16 ÷ 2)
10. Evaluate this expression:
[98 − (18 × 3)] + [(68 ÷ 4) × 2]
Answer:
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Operations and Algebraic Thinking
1. Use the number line below to answer the following question.
A new point is drawn on the number line that is 82% of the distance from point B to point G. Between which two points is the
new point drawn?
A.
B.
C.
D.
C and D
D and E
E and F
F and G
2. The table below shows the results of four students’ typing tests:
Student Number of Words Number of Minutes
A
451
11
B
925
17
C
713
15
D
502
13
List the students in order from fastest to slowest based on their typing rates.
,
,
,
3. A new business owner has hired a landscaper to landscape the area around his building. The landscaper has provided the
business owner with the following design which covers one square yard:
Part A: Write the ratio of tulips to daffodils.
Part B: Write the ratio of tulips to square yards.
Part C: If the building requires 8 square feet to be covered, how many tulip bulbs will be planted?
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Ratios and Proportional Relationships
4. Three stores sell the same Panthers t-shirt.
At Store A, the shirt is 65% off the regular price of $62.79.
At Store B, the shirt is 60% off the regular price of $55.65.
At Store C, the shirt is 45% off the regular price of $42.29.
What is the difference in price between the highest and lowest sale prices?
A.
B.
C.
D.
$0.28
$1.00
$1.28
$1.56
5. Jaquan mixed 1
teaspoons of baking powder with 1
cups of flour to make a cake.
Jasmine asked him to make some cake for her birthday party.
To make the birthday cake, Jaquan used exactly 9 cups of flour.
How many teaspoons of baking powder should Jaquan use to make the birthday cake?
Jaquan should use
teaspoons of baking powder to make the birthday cake.
6. Malik purchased the same brand of eggs at the same store on difference occasions. The information is listed in the table below.
Eggs by the dozen Total Cost
1.5
$5.55
2.5
$9.25
4
$14.80
What is the price per dozen of eggs?
A.
B.
C.
D.
$2.70
$3.00
$3.35
$3.70
7. Al earns $500 a week selling shoes. He also earns 8% commission on all of his shoe sales. Last week, he sold $1,540 worth
of shoes. How much money did Al earn last week?
A. $123.20
B. $623.20
C. $663.20
D. $703.20
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Ratios and Proportional Relationships
8. A free-tailed bat can fly 232 feet in 4 seconds. A humming bird can fly 343 feet in 7 seconds. Which can fly faster and by
how much?
A. The humming bird is 37 feet per second faster.
B. The humming bird is 9 feet per second faster.
C. The free-tailed bat is 63 feet per second faster.
D. The free-tailed bat is 9 feet per second faster.
9. The graph below shows the admission fees charged at a local museum.
What is another point that could be on the graph?
A.
B.
C.
D.
(10, 20)
(12, 120)
(15, 200)
(20, 400)
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Ratios and Proportional Relationships
10. Cool Electronics found that the amount of fans sold each month was proportional to the amount of days the temperature
was above 65 degrees. The data is shown in the table below.
What does the point (10, 200) mean on the graph?
A.
B.
C.
D.
In a month with 10 days above 65 degrees, 200 fans are sold.
In a month with 200 days above 65 degrees, 10 fans are sold.
In 10 months, 200 fans were sold.
Every month has 10 days above 65 degrees.
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Ratios and Proportional Relationships