Semester 1 Review

Multiple Choice

Put in the symbol to make the statement true...
-17.5   _________ -√121

• >
• <
• =

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function 

Multiple Choice

Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 

• (3, 7)
• (4, 1) 
• (1, 9)
• (2, 6)

Multiple Choice

Does the table represent a function?

• Yes, there  is a repeated x-value. 
• No, there aren't any repeated y-values. 
• Yes, there are repeated y-values. 
• No, there is a repeated x-value. 

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

The scatterplot shows the height in centimeters and weight in kilograms of several students.

Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

• 152 cm

• 160 cm

• 162 cm

• 156 cm

Multiple Choice

If the exponent is a negative number the original number was...

• a really large number.

• a really small number.

Multiple Choice

A decimal that stops (like 2.48) is which type of number? 

• Rational
• Irrational

Multiple Choice

A repeating decimal (like 4.7777...) is what type of number?

• Rational 
• Irrational 

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10^-7

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

What is the y-intercept?

• -1

• 1

• 4/3

• 0

Multiple Choice

between which two whole numbers is   $$\sqrt{23}$$  ?

• 22 and 24

• 20 and 30

• 4 and 5

• 5 and 6

Multiple Choice

Which is ordered least to greatest?

• 1/4, -3/7, 1/2
• -3/7, 1/2, 1/4
• 1/2, 1/4, -3/7
• -3/7, 1/4, 1/2

Multiple Choice

$$\sqrt{2}$$  is between which two whole numbers? 

• 0 and 1

• 1 and 2

• 2 and 10

Multiple Choice

A square wall has an area of about 87.5 square feet. Which best represents the approximate length of the wall?

• 43.75 feet

• 21.9 feet

• 9.4 feet

Multiple Choice

Which is the best approximation of the length of one side of the square?

• 5 m

• 400 m

• 10 m

• 4.5 m

Multiple Choice

Which value is best represented by point Q?

• √5.4

• √29.5

• √35.5

Multiple Choice

The √40 is between which two integers?

• 7 & 8
• 6 & 7
• 5 & 6
• 4 & 5

Multiple Choice

Between which if these does √27 lay on a number line?

• 5 and 6

• 6 and 7

• 4 and 5

Multiple Choice

Compare.

√52 or 6.9

• <

• >

• =

Multiple Choice

• D, C, A, B
• D, A, B, C
• D, B, C, A
• A, C, B, D

Multiple Choice

Which best represents point Z on the number line?

• √165

• √149

• √12.2

• √13

Multiple Choice

• Yes
• No

Multiple Choice

What is scientific notation?

• A long way to write really short numbers

• A short way to write really large or really small numbers

• I don't know...

• None of the above

Multiple Choice

• A, B, C
• B, C, A
• C, A, B
• A, C, B

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Multiple Choice

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

• True
• False

Multiple Choice

Scientific Notation is made up of two number parts. The second part is a power 10.

• True

• False

Multiple Choice

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

• P
• Q
• R
• S

Multiple Choice

What is the y-intercept?

• 3

• 13

• 5

• 0

Multiple Choice

Which of the following numbers is written in scientific notation?

• 20.35 x 10⁴

• .2035 x 10⁴

• 2035 ⁴

• 2.035 x10⁴

Multiple Choice

Express the following in scientific notation:

.000457

• 457 x 10⁶

• 457 x 10^-6

• 4.57 x10⁴

• 4.57 x 10^-4

Multiple Choice

Identify the slope of EF in triangle DEF.

• 1

• -1

• 3

• -3

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10^-7

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

If the exponent is a positive number the original number was...

• a really big number.

• a really small number.

Multiple Choice

What is the slope of the table?

• 3

• 1/3

• 2

• -1/2

Multiple Choice

Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

• -1

• 5.8

• 11

• 99

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

Convert this number into scientific notation:

0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Multiple Choice

Convert this number into scientific notation:

950,000

• 9.5 x 10⁵

• 9.5 x 10^-9

• 9.5 x 10²

• None of the above

Multiple Choice

Which value is the greatest?

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

Multiple Choice

Which number is the least in value?

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

Which of the following numbers is rational?

• √8
• √16
• √50
• √75

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?

• y = 4x - 4
• y = -4x - 4
• y = -4
• y = -4x + 4

Multiple Choice

Given that the slope is  2/3 and the y intercept is -3 what is the equation of the line?

• y = 2/3x - 3
• y = 2/3x + 3
• y = -2/3x - 3
• y = -2/3x + 3

Multiple Choice

What is the slope of this line?

• 2
• 4
• 1/2
• 1/4

Multiple Choice

 Identify the slope-intercept equation:

• y = 2x - 2
• y = -2x + 2
• y = -2x + 4
• y = 2x + 4

Multiple Choice

What is the y-intercept?

• -2

• 2

• 4

• 0

Multiple Choice

What is the slope?

• 1/5

• 5

• 1

• -5

Multiple Choice

What is the slope?

• 1/2

• -1/2

• 2

• -2

Multiple Choice

What is the y-intercept?

• -12

• 0

• -3

• 1

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

What is the slope?

• 3

• -3

• 1

• -4

Multiple Choice

A non-ending, non-repeating decimal is which type of number?

• Rational 
• Irrational

Multiple Choice

What is the y-intercept?

• 0.5

• 4

• -4

• 1

Multiple Choice

What is the slope?

• 4

• -4

• -1/4

• 1/4

Multiple Choice

What is the slope?

• 4/3

• 3/4

• 1

• -1

Multiple Choice

What is the y-intercept of the table?

• 1

• 4

• 0

• 16

Multiple Choice

8w - 8 = -4x + 16

• 8
• 16
• 24
• 2

Multiple Choice

What is the y-intercept of the table?

• 0

• 2

• 5

• -4

Multiple Choice

What is the y-intercept of the table?

• 3

• 1

• 0

• 15

Multiple Choice

What is the slope of the table?

• -2

• 2

• 1/2

• -4

Multiple Choice

What is the slope?

• 2

• 4

• -2

• -4

Multiple Choice

What is the y-intercept of the table?

• -2

• 0

• -1

• -4

Multiple Choice

What is the slope of the table?

• 1/2

• 7

• 2

• 1/7

Multiple Choice

The slope of line CA is  $$-\frac{3}{2}$$  . Which of the following is true about the slope of line XZ?

• The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

• The slope of line XZ is one-half the slope of line CA because the ratio of corresponding sides between the triangles is  $$\frac{1}{2}$$  .

• The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equivalent.

• The is no relationship between the slope of line XZ and the slope of line CA.

Multiple Choice

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

• $$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{1-3}{1-\left(-5\right)}$$

• $$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}$$

• $$\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}$$

• $$\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}$$

Multiple Choice

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the verticces are integers. Which statement is true about the slope of line HK and the slope of line PK.

• The slope of line HK is less than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for line HK than it is for line PK.

• The slope of line HK is equal to the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for line HK as it is for line PK.

• The slope of line HK is greater than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for line HK than it is for line PK.

• The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

Multiple Choice

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

• $$\frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}$$

• $$\frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}$$

• $$\frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}$$

• $$\frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}$$

Multiple Choice

Identify the slope (AC) of triangle ABC.

• 2

• 1/2

• -2

• -1/2

Multiple Choice

find the slope

• 3/2
• -3/2
• (-0,-3)
• none of the above

Multiple Choice

Identify the slope of the black line. You can use the blue slope triangles to help you.

• $$\frac{2}{3}$$  
  

• $$\frac{3}{4}$$  
  

• $$\frac{3}{2}$$  
  

• $$\frac{1}{3}$$  
  

Multiple Choice

Which of these lines has a slope of -3?

• A
• B
• C
• D

Multiple Choice

Triangle DEF and triangle GHI are similar triangles. Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hupotenuse of triangle GHI cannot be determined.

• The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.

Multiple Choice

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

• 30/3 = 10/1 = 10

• 3/30 = 1/10

• 3/3 = 1

Multiple Choice

Which of the following is true about the triangles shown on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent. Congruent: same size, same shape.

• The slopes of the two triangles are the same.

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

What is the ordered pair for point E?

• (3, 0)

• (0,4)

• (0, -3)

• (-3, 0)

Multiple Choice

The vertical number line is called the __________?

• x-coordinate

• x-axis

• y-axis

• y-coordinate

Multiple Choice

The horizontal number line is called the _____________?

• y-axis

• y-coordinate

• x-axis

• x-coordinate

Multiple Choice

Coordinate points (-1, 1) would lead me to which plot point?

• H

• G

• A

• J

Multiple Choice

Where is the tomato?

• (2, 2)
• (8, 1)
• (5, 2)
• (4, 9)

Multiple Choice

What is the ordered pair for point A?

• ( 2, 0)

• ( 0 , 2)

• (0, -2)

• (-2,0)

Multiple Choice

The __________ is a measure of the steepness of a line, or a section of a line, connecting two points.

• Table
• Identity
• Slope
• Y-Intercept

Multiple Choice

How do you find the constant of proportionality for an equation?

• The number in front of y

• The number in front of x

• The number added to x

• The number subtracted from x

Multiple Choice

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

• yes

• no

Multiple Choice

In what form is the equation of a proportional relationship?

• y = mx + b

• y = kx

Multiple Select

How do you know if a table is proportional?

• x-y is the same for each ordered pair

• The cross products are equal

• x + y is the same for each ordered pair

• It has a constant of proportionality

Multiple Select

How do you find the constant of proportionality for a table?

• Look for the k value in front of the x

• Use the equation k = x/y

• Use the equation k = y/x

• Find the number you multiply x by to get y

Multiple Choice

28 + 3r = 10r

• 4
• 7
• 20
• 28

Multiple Choice

A graph is proportional if...

• It is straight

• It passes through the origin

• Its straight and it passes through the origin

Multiple Choice

The constant of proportionality can also be called the...

• Equation of a proportional relationship

• Unit Rate

• Origin

• Y-intercept

Multiple Choice

Does this graph show a proportional relationship?

• Yes, because it is straight

• Yes, because it goes through the origin

• Yes, because it is straight and goes through the origin

• No, it is not

Multiple Choice

Does this graph show a proportional relationship?

• Yes, because it is a straight line

• Yes, because it goes through the origin

• Yes, because it is a straight line and goes through the origin

• No, it is not

Multiple Choice

Does this equation represent a proportional relationship?

y = 2 + 7x

• Yes, because it has a constant of proportionality

• Yes, because it will be a straight line

• No, because it will not be a straight line

• No, because it will not go through the origin

Multiple Choice

Which of the following represents a proportional relationship?

• 5x = y

• 5x + 1 = y

• 1 - 5x = y

• (x)(x) = y

Multiple Choice

Which of the following is the constant of proportionality for this equation?

y = 4x

• 4x

• 4

• y

Multiple Choice

Which of the following is the constant of proportionality for this equation?

y = -x

• y

• -x

• -1

Multiple Choice

What is the equation for the following proportional table?

• x = 12y

• y = 1/12 x

• y = 12x

• x = 1/12 y

Multiple Choice

What is the constant of proportionality for the following table?

• k = 2/3

• k = 3

• k = 2

• k = 3/2

Multiple Choice

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3
• x = 9
• x = 3
• x = -9

Multiple Choice

What is the unit rate for the following graph?

• 1/3

• 1

• 3

• 6

Multiple Choice

Which proportional relationship has a greater constant of proportionality?

• A

• B

• The are the same

• There is not enough information provided

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Which best describes the graph represented in this table?

•  proportional
• non-proportional

Multiple Choice

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?

• k = 10
• k = 2
• k = 5
• k = 1/5

Multiple Choice

Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.

• 0.44

• 81

• 23

• 9

Multiple Choice

What kind of correlation does this scatterplot show?

• negative correlation
• no correlation
• positive correlation

Multiple Choice

The scatterplot shows the relationship between the weight in pounds and the age in weeks of a certain dog breed.

Based on the scatterplot, which is the best prediction of the weight in pounds of a dog that is 28 weeks old?

• 12 lb

• 75 lb

• 45 lb

• 105 lb

Multiple Choice

Solve for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Multiple Choice

2x = x + 3

• 6
• 3
• 2
• x

Multiple Choice

7x = 3x + 24

• 6
• 10
• 14
• 4

Multiple Choice

30 + 6t = 11t

• 3
• 5
• 6
• 30

Multiple Choice

5 - 2t = 3t

• 1
• 5
• 3
• 2

Multiple Choice

2a -9 = 5a

• 3
• -3
• 9
• 7

Multiple Choice

Is this table proportional? If it is, find the constant of proportionality.

• Not proportional

• Proportional, k=0.33 or 1/3

• Proportional, k=3

Multiple Choice

28 + 3r = 10r

• 4
• 7
• 20
• 28

Multiple Choice

7x = 4x + 33

• 3
• 11
• 21
• 88

Multiple Choice

What is the constant of proportionality for the following graph?

• 100

• 10

• 1/10

Multiple Choice

-8y = -3y -15

• 3
• -3
• 5
• -5

Multiple Choice

10x + 9 = 4x - 9

• 0
• 3
• -3
• -18

Multiple Choice

7w + 5 = 3w - 15

• 5
• -2
• 2
• -5

Multiple Choice

Students recorded the total number of pages and chapters in each of several books on the scatterplot.

Based on the scatterplot, which is the best prediction of the total number of pages in a book with 4 chapters?

• 150 pages

• 140 pages

• 90 pages

• 120 pages

Multiple Choice

Solve the equation:
7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Multiple Choice

Which number has a greater value?

• √2
• ⁵/₄

Multiple Choice

What is the first step to solve this equation:

-11 - 3x = 44 - 2x

• Add 3 to both sides

• Get the variable on one side

• Add 11 to both sides

• Add 2 on both sides.

Multiple Choice

8w - 8 = - 4x + 16

• 8
• 16
• 24
• 2

Multiple Choice

Solve:
2(4x - 3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

Multiple Choice

Which scatterplot suggests a linear relationship between x and y?

Multiple Choice

2x = x + 3

• 6
• 3
• 2
• x

Multiple Choice

7x = 3x + 24

• 6
• 10
• 14
• 4

Multiple Choice

10x + 9 = 4x - 9

• 0
• 3
• -3
• -18

Multiple Choice

7w + 5 = 3w - 15

• 5
• -2
• 2
• -5

Multiple Choice

14p - 8 = 22 + 20p

• -5
• 5
• 30

Multiple Choice

Solve for x:

-7x-36=20-3x

• x=14

• x=-14

• x= 11

• x= -5

Multiple Choice

The scatterplot shows the relationship between the number of games a baseball team won in a season and the number of hours the team practiced each week during the season.

Based on the scatterplot, which is the best prediction of the number of games a baseball team won if the team practiced 3 hours each week during the season?

• 10 games

• 20 games

• 13 games

• 15 games

Multiple Choice

In make-Believeland, the Browns scored 28 points in their 4 quarter football game.

If this is proportional, what equation describes the browns average points per quarter?

• Not proportional

• y=4x

• y=28x

• y=7x

Multiple Choice

The scatterplot shows the low temperature and high temperature each day for a two-week period of time.

Based on the scatterplot, which is the best prediction of the high temperature in degrees Fahrenheit on a day when the low temperature is $$71\degree F$$ ?

• $$92\degree F$$

• $$101\degree F$$

• $$88\degree F$$

• $$100\degree F$$

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Multiple Choice

The scatterplot shows the time spent playing a video game and the number of points scored by several students.

Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?

• 1,200

• 920

• 1,060

• 1,300

Multiple Choice

Students in a science class investigated how the speed of sound changes with the air temperature outside. The data are shown in the scatterplot.

Based on the scatterplot, what is the best prediction of the speed of sound when the air temperature is $$50\degree C$$ ?

• 350 m/s

• 355 m/s

• 360 m/s

• 365 m/s

Multiple Choice

Ben collected data from a group of 12 people. He measured each person's resting heart rate and recorded the average number of hours each person exercised per week. He created a scatterplot to show the data he collected.

Based on the scatterplot, what is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of 8 hours each week?

• 30 beats per minute

• 50 beats per minute

• 55 beats per minute

• 60 beats per minute

Multiple Choice

Mrs. Collins made a scatterplot to show the relationship between the number of absences a student in her class has and the student's final exam score.

Based on this scatterplot, approximately what score should a student with 6 absences expect to receive on the final exam?

• 65

• 92

• 67

• 76

Multiple Choice

What type of correlation does this scatterplot represent?

• negative correlation
• no correlation
• positive correlation

Multiple Choice

Which scatterplot suggests a linear relationship between x and y?

Multiple Choice

The manager of a restaurant recorded how many people were in different groups of customers and how much those groups spent on food and beverages. The scatterplot below shows the data she recorded.

Based on the scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

• $135

• $115

• $105

• $150

Multiple Choice

6z = 49 - z

• 49
• -7
• 6
• 7

Multiple Choice

Which scatterplot does NOT suggest a linear relationship between x and y?

Multiple Choice

Which scatterplot does NOT suggest a linear relationship between x and y?

Multiple Choice

Consider the two variables: the temperature outside (x) and the number of visitors at the beach (y). Which type of scatterplot would you expect to see when graphing?

Multiple Choice

A math teacher observed that as the number of hours students studied their multiplication facts increased, the number of errors the students made on their multiplication tests decreased. Which scatterplot could support this teacher's observation?

Multiple Choice

What type of association does this graph have?

• positive
• negative
• none
• all of the above

Multiple Choice

The scatter plot below shows the number of books read by students in Mrs. Dormevil's English class and their final grades. Which statement represents the best description about the line of best fit?

• The more books students read, the lower their English grade.
• The more books students read, the higher their English grade.
• No relationship exists between the number of books students read and their English grades. 

Multiple Choice

About how many male math teachers were there in 2006?

• 15
• 30
• 35
• 45

Multiple Choice

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

Multiple Choice

If Gold's Gym is looking to buy 30 TVs, how much will each one cost?

• 400
• 750
• 1250
• 0

Multiple Choice

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

Which shows a good line of best fit?

• A

• B

• C

• D

Multiple Choice

The amount a store earns varies directly as the number of hours. A local store takes in $11,500 in a 4 hour period. Estimate how many hours it would take the store to earn $23,000

• 2 hours

• 8 hours

• 11,504 hours

• 66,125,000 hours

Multiple Choice

Solve the equation
12x - 15 = 3(2x + 3)

• x = 4
• x = -4
• x = 2
• x = -2

Multiple Choice

The number of apples sold varies directly as the cost. If 4 apples cost $0.45, find the cost of 12 apples.

• $1.35

• $106.67

• $0.45

• $0.15

Multiple Choice

Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.

• 1.07

• 15

• 26

• 60

Multiple Choice

The size of a box varies directly as its mass. A 20 cubic centimeter box has a mass of 40 kg. What is the size of the box if the mass is 100 kg.

• 8 cubic centimeters

• 50 cubic centimeters

• 80 cubic centimeters

• 200 cubic centimeters

Multiple Choice

Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.

• 0.1

• 90

• 153

• 250

Multiple Choice

On a scale, yards vary directly as feet. If 3 feet represent 30 yards, how many yards represent 5 feet.

• 0.5 yards

• 18 yards

• 32 yards

• 50 yards

Multiple Choice

Suppose y varies directly as x. If y = -4 when x = 32, find x when y = -0.375.

• 0.05

• 3

• 27.6

• 341.3

Multiple Choice

The number of books sold varies directly as the cost of the books. If 8 books cost $10.40, how many books can be bought for $32.50?

• 25 books

• 30 books

• 32 books

• 42 books

Multiple Choice

Suppose y varies directly as x. If x = 15 when y = 12, find x when y = 21.

• 8.57

• 16.8

• 24

• 26.25

Multiple Choice

The number of days worked varies directly as the amount earned. If a woman earns $805 for 7 days, how many days does she have to work to earn $1840?

• 16 days

• 1042 days

• 20171 days

• 211600 days

Multiple Choice

Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.

• -5

• 3

• 9.8

• 20

Multiple Choice

Suppose y varies directly as x. If y = 3 when x = 15, find x when y = 5.

• 25

• 17

• 9

• 1

Multiple Choice

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?

• y = 10x
• y = 2x
• y = 5x
• y = 1/5x

Multiple Choice

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and thunder, about how far away was the lightning? 

• 40 miles
• 4/5 miles
• 8 miles
• 20 miles

Multiple Choice

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?

• k = 123
• k = 20
• k = 6.15
• k = 0.16

Multiple Choice

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the equation of variation?

• y = 123x
• y = 20x
• y = 6.15x
• y = 0.16x

Multiple Choice

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. 

• $3813
• $620
• $190.65
• $4.96

Multiple Choice

At top speed, a rabbit can cover 7 miles in 12 minutes. What is the constant of variation?

• k = 7
• k = 12
• k = 12/7
• k = 7/12

Multiple Choice

At top speed, a rabbit can cover 7 miles in 12 minutes. What is the equation of variation?

• y = 7x
• y = 12x
• y = 12/7x
• y = 7/12x

Multiple Choice

At top speed, a rabbit can cover 7 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert? 

• 31.4 minutes
• 18.3 minutes
• 377.1 minutes
• 128.1 minutes

Multiple Choice

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

• k = 13
• k = 65
• k = 5
• k = 1/13

Multiple Choice

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the equation of variation?

• y = 13x
• y = 65x
• y = 5x
• y = 1/13x

Multiple Choice

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads? 

• 60 gallons
• 780 gallons
• 156 gallons
• 12/13 gallons

Multiple Choice

What is the constant of proportionality?

• $3
• $4
• $2
• $9

Multiple Choice

Is this table proportional?

• Yes
• No

Multiple Choice

Which graph is proportional?

• A
• B
• C and D
• All of the graphs are proportional

Multiple Choice

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Multiple Choice

How do you find the constant of proportionality for a graph?

• Pick a point on the line and use the formula x/y

• Pick a point on the line and use the formula y/x

Multiple Choice

The constant of proportionality can also be called the...

• Equation of a proportional relationship

• Unit Rate

• Origin

• Y-intercept

Multiple Choice

Does this graph show a proportional relationship?

• Yes, because it is straight

• Yes, because it goes through the origin

• Yes, because it is straight and goes through the origin

• No, it is not

Multiple Choice

Does this graph show a proportional relationship?

• Yes, because it is a straight line

• Yes, because it goes through the origin

• Yes, because it is a straight line and goes through the origin

• No, it is not

Multiple Choice

Solve the proportion below:

• 42
• 6
• 2
• 28

Multiple Choice

Solve the proportion.

• k=5
• k=3.3333333
• k=60
• k=90

Multiple Choice

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

• 480
• 1960
• 84
• 25

Multiple Choice

Solve the proportion

• 48
• 6
• 8
• 24

Multiple Choice

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

• 24 Weeks
• 24-ounce bottle
• 10.6 Weeks
• 10.6-ounce bottle

Multiple Choice

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?

• 39 Computers
• 4.3 Homes
• 39 Homes
• 4.3 Computers

Multiple Choice

A model of a car is 3 in wide and 2 in tall.  The actual car is 4 ft wide, how tall would it be? 

• 3.5
• 4
• 5
• 2.6

Multiple Choice

Will spent $3.75 for 3 pounds of granola. How many pounds of granola can Will buy for $10

• 8 pounds
• 7 pounds
• 6 pounds
• 9 pounds

Multiple Choice

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?

• 2.5 cups milk
• 1.75 cups milk
• 2 cups flour
• 2.25 cups milk

Multiple Choice

Walmart has cookies on sale 20 for $3.99 and Walgreens has cookies on sale 36 for $5.99. which is the better buy?

• Walmart
• Walgreens

Multiple Choice

If Angel can type 15 words in 10 seconds, how many could he type in 1 minute if he kept up that same pace?

• 90 words
• 60 words
• 75 words
• 87 words

Multiple Choice

Is this table proportional? If it is, find the constant of proportionality.

• Not proportional

• Proportional, k=12

• Proportional, k=0.83

Multiple Choice

y=-2x

Is this equation proportional? If it is, find the constant of proportionality.

• Not proportional

• Proportional, k=2

• Proportional, k=-2

Multiple Choice

y=1/4x + 2/3

Is this equation proportional? If it is, find the constant of proportionality.

• Not proportional

• Proportional, k=1/4

• Proportional, k=2/3

Multiple Choice

Is this graph proportional? If it is, find the constant of proportionality.

• Not proportional

• Proportional, k=1.5 or 3/2

• Proportional, k=0.67 or 2/3

Multiple Choice

Is this graph proportional? If it is, find the constant of proportionality.

• Not proportional

• Proportional, k=5

• Proportional, k=0.2

Multiple Choice

Adam runs for 30 minutes. His fitbit tells him he ran 3 miles.

Is this situation proportional?

• Proportional

• Not Proportional

Multiple Choice

Erica runs for 30 minutes. Her fitbit tells her she burned 300 calories.

If this situation is proportional, find the constant of proportionality.

• Not proportional

• Proportional, k=0.1 calories per minute

• Proportional, k=10 calories per minute

Multiple Choice

A long distance phone call costs $2.50 then $0.30 per minute.

If this situation is proportional, find the constant of proportionality.

• Not proportional

• Proportional, k=$2.50 per minute

• Proportional, k=$0.30 per minute

• Proportional, k=$0.083 per minute

Multiple Choice

What is the constant of proportionality for this table?

• Not proportional, so no k

• Proportional, k=2

• Proportional, k=1/2

Multiple Choice

If this table is proportional, what is the equation for the table?

• Table is not proportional

• y=3x

• y=1/3x

Multiple Choice

In make-Believeland, the Browns scored 28 points in their 4 quarter football game.

What is the constant of proportionality?

• Not proportional, so no k

• k=7 points per quarter

• k=0.14 points per quarter

• k=28 points per quarter

• k=4 points per quarter

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3