Math Vocabulary
Word Problems
You Can Do It
You Tried It
Lets Travel
100
The distance around the boundary of a circle
What is?
Circumference
100
Which of the following can we use to determine if a data set represents a function? There may be more than one answer. Select all the correct answers.
A. Vertical line test
B. Make sure “y” values do not repeat
C. Make sure there is one and only one output for each input
D. Make sure each x-value has more than one y-value
E. Make a table to determine the numbers in the domain appear only once.
What is?
A. Vertical line test
C. Make sure there is one and only one output for each input
E. Make a table to determine the numbers in the domain appear only once.
100
Find the solution to the following equation:
2(2x - 7) = 14
What is?
x =7
100
In triangle ABC, angle C = 90°, AC = 4 and AB = 10. Find BC to the nearest tenth.
What is?
BC = 9.2
Answer Explanation
AB2= AC2 + BC2
BC2 = AB2 - AC2
BC2 = 102 - 42
BC = 100 - 16 = square root of 84
= 9.2 (when rounded to the nearest tenth)
100
Which story matches the graph below?
A. Kevin went shopping with his mom. She slowly pulled out of the driveway and quickly approached the store. Kevin and his mom parked the car, quickly did their shopping, and went home.
B. Kevin rode his bicycle up a really steep hill. At the top of the hill, the road flattened out. Then, he flew down the other side.
C. Kevin took his dog for a walk. He started slowly, but then increased his speed. Kevin sat on a bench while his dog played around in the park. Then, he realized it was getting late and walked home quickly.
D. Kevin went for a run. He started off at good pace and gained some speed until he ran out of breath. After catching his breath, Kevin decided to just walk home.
What is?
C. Kevin took his dog for a walk. He started slowly, but then increased his speed. Kevin sat on a bench while his dog played around in the park. Then, he realized it was getting late and walked home quickly.
Answer Explanation: The slope is positive in the first two segments. The second segment is steeper than the first, indicating an increase in speed. The flat line represents no rate of change and the time Kevin spends on the bench. Finally, as Kevin returns from the park, his distance from home decreases, which is represented by the final line segment by its negative slope.
200
Daily Double
The number of unit squares that cover the surface of a closed figure
What is?
Area
200
Anthony has gone on a bike ride that is 323 miles long. The first part of the ride is almost all uphill. It takes him about 75 minutes to travel 323 miles. When he reaches the top of the hill, he takes a 10 minute break, turns around, and returns back to where he started along the same path. His total time from start to finish was 1 hour and 55 minutes. What was his average speed in mph while he was returning to where he started?
What is?
B. 7.33 mph
Answer Explanation: The first part of the ride took 75 minutes. The break was 10 minutes. That makes a total of 85 minutes. The whole time of his ride was 1 hour and 55 minutes, or 115 minutes. That means that the rest of the trip was 30 minutes, or 0.5 hours. The distance of the trip each way was 323 miles, so we divide the miles by the hours to get:323÷ 0.5 = 7.33 mph (when rounded to the nearest hundredth)
200
The sum of three consecutive even integers is 72. What is the middle integer?
What is?
24
200
Dilations change the size of a figure, but does not affect the
A. Perimeter
B. Similarity
C. Area
D. Size
What is?
B. Similarity
200
What information can we assume from Scatterplot B?
A. Outliers
B. Negative association
C. Linear association
D. No association
What is?
C. Linear association
300
Proportional relationships are relationships between two variables where their ________ are equivalent.
What is?
Ratios
300
The ratio of x and y is proportional to the ratio of the square of x and half the square of y. Which of the following correctly describes the relationship between x and y?
What is?
D. y is twice as much as x
Answer Explanation: Set up the proportion according to the given information: x/y = x2/0.5y. Now, multiply the fraction on the left side of the equation by x/x, giving us:(x/x)(x/y)=x2/0.5y2
x2/xy = x2/0.5y2
We notice that the numerators on each side are now the same, so the denominators must also be the same value as well in order for this equation to be true. We see that if x is the same as 0.5y, then the denominators will be the same. This means that x is half of y, or y is twice the value of x.
300
Solve for x: 5x+7≥32
What is?
x≥5
300
What is the difference between a scatter plot that has a constant association versus a positive association?
A. A constant association increases upward, while a positive association does not.
B. A constant association increases upward, while a positive association decreases to the left.
C. A constant association neither increases nor decreases, while a positive association increases to the right.
D. A constant association increases upward, while a positive association decreases.
What is?
C. A constant association neither increases nor decreases, while a positive association increases to the right.
300
Jack purchased some shares in a successful company. The graph below shows the value of the shares over time. He wants to sell the shares when their value is twice what he paid for them. During which month, after Jack bought the shares, were they double their original value?
where the x-axis represents the month, and the y-axis represents the share price in dollars.
What is?
A. 8 month
400
Something that changes steadily over time
What is?
Constant Rate
400
Daily Double
Mr. and Mrs. White take their children to Penny-a-Pound night at their local restaurant. They have 4 children who weigh 24 pounds, 78 pounds, 49 pounds and 113 pounds. Using the equation m = 1(w), figure out how much Mr. and Mrs. White will pay for their children to eat.
A. $2.64
B. $264
C. $26.40
D. $2.46
What is?
A. $2.64
Answer Explanation: m = 1(w)m = 1(24 + 78 + 49 + 113)m = 1(264)m = 264 cents = $2.64
400
Solve for x: 4(x−5)+5=21
What is?
x = 9
400
Which of the following statements is true about the domain and range of a function?
A. The domain is the set of outputs, whereas the range is the set of inputs.
B. The domain is the set of inputs, whereas the range is the set of outputs.
C. The range is the set of independent variables, whereas the domain is the set of dependent variables.
D. Both the domain and the range are sets of independent variables.
What is?
B. The domain is the set of inputs, whereas the range is the set of outputs.
400
The graph of x−3y=−6 is shown below.
What does the line on the graph represent?
A. All solutions to the equation.
B. Restrictions on the domain.
C. Output values.
D. Input values.
What is?
A. All solutions to the equation
500
The greatest common factor (GCF) of a set of numbers is the
What is?
Largest factor that all the numbers share.
500
What is the area of a circle (in terms of π) having a circumference of 32π inches?
What is?
256π in2
Answer Explanation: If the circumference is 32π
we can easily find the radius of the circle:2πr=32π
r=16. With that given radius, we can calculate the area:A=πr2=π(16)2=256π in2
500
Catherine was asked to solve 5(y+1)+3=23 for y. She put the following on the board. Which property did she make an error and what line.
1. 5(y+1)+3=23
2. 5(y+1)=20
3. 5y+1=23
4. 5y=22
5. 5y/5=225
6. y =225
What is?
Distributive in line
500
What is?
B.
500
Which of the graphs below has all of the following characteristics?
Symmetry about the y-axis, two relative maximums, five zeros.
A 
B. 
C. 
D. 
What is?
A
600
________is a technique for rewriting quadratics in the form (x + b/2)2 = C
What is?
Completing Square
600
Daily Double
Which numerical value would represent the probability of an event that is neither highly likely to occur nor highly unlikely to occur, and why?
A. 0.53, because this number is not very close to 0 (impossible event) nor very close to 1 (certain event).
B. 0.91, because this number represents a probability that is not impossible (a probability of 0) but is not certain, either (a probability of 1).
C. 1.3, because this represents a probability that is not impossible (0) but still has a chance of taking place.
D. 47, because a number between 0 and 100 represents a probability that is halfway between impossibility and certainty.
What is?
A. 0.53, because this number is not very close to 0 (impossible event) nor very close to 1 (certain event).
Answer Explanation: The range of probability when expressed as a decimal is 0 to 1. Anything close to 0 is unlikely; anything close to 1 is likely; 0.53 is near the middle and thus is neither highly likely nor highly unlikely.
600
Daily Double
Mr. Smith teaches a Spanish class to 6th, 7th, and 8th graders. Below is a chart showing the grade level of students and the letter grade they earned in the class. What is the probability that any given 6th grader earned a C in the class?
A. 14%
B. 7%
C. 36%
D. 38.89%
What is?
D. 38.89%
Answer Explanation:
The total 6th graders 5 + 6 + 7 = 18. Of these 18, seven (7) earned a C. Therefore probability can be found in the following manner:
P=earned a C/Total 6th graders =7/18 =0.3889 =38.89%
600
Your uncle is currently four times as old as you are. In five years, your uncle will be three times as old as you. What is your current age?
A. 10
B. 8
C. 5
D. 1
What is?
A. 10
Answer Explanation: Let your current age be n. Then your uncle's current age is 4n. In 5 years, your age will be n + 5. Your uncle's age will be 4n + 5. Since your uncle will be three times older than you in five years, we can set up the equivalence statement as - 4n + 5 = 3(n + 5) 4n + 5 = 3n +15n solve for n.Thus, your current age is 10 years.
600
Which point on the graph of the straight line demonstrates that the line represents a proportion?
What is?
(0,0)
Answer Explanation: A straight line graph is a proportion if and only if it passes through the origin, (0, 0).
700
__________ in mathematics, an expression, rule or law that defines the relationship between one variable (independent variable) and (dependent variable).
What is?
Function
700
At the grocery store, Kim’s pre-tax total cost is $58.75. Sale’s tax is added at a rate of 4.75%. However, for this weekend only, her state is allowing the purchase of all school supplies tax-free. 20% of what Kim is purchasing is school supplies. What will her total cost be after tax is added? Round to the nearest cent.
What is?
$60.98
Answer Explanation: To calculate the tax, we must take only 80% of the total cost of the items and multiply it by the tax rate of 4.75%: (58.75)(0.80)(0.0475) = $2.23. Add this to the pre-tax price: $58.75 + $2.23 = $60.98
700
Mary's water faucet dripped 3 times every 15 minutes (1/4 of an hour)
How many times will the faucet drip per hour?
What is?
12
Answer Explanation: To solve this problem, set up a proportion:drips/time=drips/time
Remember 1 hour = 60 minutes
3 drips/15 mins = x/ drips 60 mins
700
Alan can uproot tree stumps at a rate of 4 tree stumps per hour, whereas Steven can do the same at 9 tree stumps per 3/2 hours. If they work together, how much time would they need to uproot 40 tree stumps?
What is?
4 hours
Answer Explanation
Let t represent tree sumps
4 stumps/1hr = 4 tree stumps = 4t
9 stumps/(3/2)hr = 9/(3/2) =9(2/3) = 6t
4t + 6t = 40 10t = 40 40/10 = 4
700
Use the table to answer the question below:
What is?
9
800
The non-negative value of x without regard to its sign
What is?
Absolute Value
800
A taxi charges a flat rate of $3.50 plus an additional $0.75 for every mile traveled. Write an equation that represents the relationship between the total cost c and the distance d traveled?
What is?
c = 0.75d + 3.50
Answer Explanation: Correct answer is C.The flat rate of $3.50 represents the y-intercept, and the additional $0.75 per mile represents the slope of the line in the equation y = mx + b. So the equation for the total cost c in terms of the distance d is c = 0.75d + 3.50.
800
Jack scored 7, 9, 2, 6, 15 and 15 points in 6 basketball games. Find the mean, median and mode scores for all the games.
What is?
Mean = 9, Median = 8 and Mode = 15
800
Daily Double
What did I tell you about your notebook on very first day of class.
What is?
Your notebook is your bible in my class
800
What is the first quartile of the data set represented by the box plot below?
What is?
25
900
The average distance between each data point and the mean.
What is?
Mean Absolute Deviation
900
The stacks of cases of bottled water on the shelves of a major grocery store follow the graph of the equation 4x+y=36 where x it is hours after the store opens and y is the number of cases on the shelves. At the end of the day, all of the water is sold. What is the domain of the variable x?
A. [0,6]
B. [0,9]
C. [0,12]
D. [2,9]
What is?
B. [0,9]
Answer Explanation: The variable x represents the number of hours after the store opens, so the minimum value of x is 0. When all the cases of water bottles have been sold, then y=0. Putting this in the equation 4x+y=36 gives x=9
Based on the given equation, the last case of water is sold 9 hours after the store opens. Thus, the domain is [0,9].
900
The table shows observed frequencies of spinning a spinner with 4 numbers on it (1,2,3,4).
What is the observed probability of spinning a 4?
What is?
7/25
Frequency/Total Trials
14/50 = 7/25
900
The mean of a data set is 20. The minimum of the data is 3. What is the deviation of the minimum?
What is?
-17
Answer Explanation:
The deviation of the minimum is
the minimum - the mean.
Here, minimum = 3, mean = 20
Therefore, the deviation of the minimum = 3 - 20 = -17
900
A function has a zero when the graph of the function touches or crosses the x-axis.
The figure below shows a polynomial function's graph. How many zeros does the function have?
What is?
4
1000
_______ is a way of writing very large or very small numbers. A number is written in __________ when a number between 1 and 10 is multiplied by a power of 10.
What is?
Scientific Notation
1000
Water that is added to a reservoir is given by the function w(t)=t3−t2+100, where w is measured in gallons and t is in days. At the same time, the amount of water that is released out of the reservoir is given by the function, p(t)=t3−3t2+300, where ‘p’ is measured in gallons and ‘t’ is in days. Which of the following expressions represents the difference between w(t) and p(t)? (Select all that apply)
A. −2t33−4t2−200
B. 2t2−200
C. −2t3−4t2+200
D. 2(t+10)(t−10)
What is?
B. 2t2−200
D. 2(t+10)(t−10)
1000
Given the data below, describe the shape?
A. Symetrical and Mounded
B. Symetrical and Skewed Right
C. Symetrical and Skewed Let
D. Skewed Right and Left
What is?
A. Symetrical and Mounded
Answer Explanation: The data points rise in the middle to form a mound and there is about the same rise on both side (right and left) making the graph symmetrical
1000
Which data set is displayed in the histogram shown below?
A. {1,2,2,3,1,5,3,4,1,1,4,4,3,3,3,4,5,5}
B. {2,3,3,1,5,3,4,1,1,4,4,4,3,3,3,4,5,5}
C. {1,2,2,2,3,3,1,5,3,4,1,1,3,3,3,4,5,5}
D. {1,2,2,2,3,3,1,5,3,4,1,1,4,4,4,3,3,3,4,5,5}
What is?
D. {1,2,2,2,3,3,1,5,3,4,1,1,4,4,4,3,3,3,4,5,5}
Answer Explanation: In the histogram, the x−axis gives the values of the data set. The y−axis gives the quantity of each value in the data set. Based on the histogram, the data set contains four 1's, three 2's, six 3's,five 4's, and three 5's.
1000
Daily Double
Match the situations to the corresponding graphs.
A. Jake ran 3 km in 9 minutes.
B. Sara walked 3 feet in 30 seconds.
C. After 1 minute, the turtle had traveled 6 feet.
D. It took Roger 15 minutes to walk 5 km.
What is?
Graph 1: A & D
Graph 2: B & C