Answers CMS 2025-2026 Foundations of Math 1 Credit RecoveryFunction Notation

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The table represents a function.

Option

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The histogram shows the duration, in minutes, of movies in theaters.

The mean is less than the median.

The median is less than the mean.

The mean is equal to the median.

The median and mean cannot be compared from a histogram.

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

number of hours worked and free time

speed of a car and minimum stopping distance

the speed of a train and the length of time to reach the destination

adult’s head circumference and age

a tadpole’s age and the length of it’s tail

The table shows the maze-completion times, in seconds, of two sets of mice in an experiment. Which statement is true about the variability of the group times?

The times in Group A have a greater standard deviation.

The times in Group A have a greater median.

The times in Group B have a greater interquartile range.

The times in Group B have a greater mean.

Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?

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Which table shows no correlation?

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.

Graph the function y = |8 - 2x| + 3. Which is a point on the function?

(6.2, 7.4)

(7.8, 11.2)

(8.6, 6.8)

(9.6, 7.3)

The box plots show the distributions of weights of cucumbers and zucchini collected from a garden. Which statement explains the best measure of variability to use to compare the data sets?

The mean is the best measure because the data sets have the same minimum weight.

The range is the best measure because the distribution of zucchini weights is skewed left.

The median is the best measure because the data sets have different medians.

The standard deviation is the best measure because both data distributions are symmetric.

Mr. Walker is looking at the fundraiser totals for the last five years.

The median is $1.60 greater than the mean.

The mean is $1.60 greater than the median.

The median is $2.82 greater than the mean.

The mean is $2.82 greater than the median.

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

one solution: (–0.6, –1.6)

one solution: (–0.6, 1.6)

no solution

infinite number of solutions

The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Ani was more successful because she had an outlier.

Marta was more successful because she received the highest score.

Ani was more successful because she had the greater measure of center.

Marta was more successful because she had the greater total spread.

Graph the function y = 8 –. Which is the best approximation of a point on the function?

(4.4, 3.421)

(4.6, 4.232)

(5.2, 4.025)

(5.9, 3.781)

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

9 feet

18 feet

30 feet

33 feet

According to the scatterplot below, which statement is correct?

The input, or dependent variable, is courses completed.

The output, or dependent variable, is credits needed to graduate.

The input, or independent variable, is credits needed to graduate.

The output, or independent variable, is courses completed.

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6What is the interquartile range of the data?

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

n = 18

n = 20

n = 21

n = 23

Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

(–5, –7.2)

(–5, –6.8)

(–5, –6.2)

(–5, –5.9)

The table below shows the population and the number of representatives in Congress for the selected states. State CA NY TX FL NC IN AL Population (in millions) 29.8 18.0 17.0 12.9 6.6 5.5 4.0 Representatives 52 31 30 23 12 10 7 If you were to make a scatter plot of the data, you would be able to determine the line of best fit. Using the regression equation , predict the number of representatives for Oregon, which has a population of about 3.3 million. a. 5 representatives b. 6 representatives c. 7 representatives d. 28 representatives Please select the best answer from the choices provided

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

all real numbers

all real numbers greater than or equal to –2

all real numbers greater than or equal to –5

all real numbers greater than or equal to 0

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

k = 2Px2

k = Px2

k =

The tables represent the functions f(x) and g(x).

x = –12

x = –9

x = –6

x = –3

Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce and rests on the ground when it lands.

The initial height of the coconut is 190 feet.

The coconut will hit the ground between 4 and 5 seconds after it was dropped.

The values of h(t) when t = 4 and 5 should be 0.

The maximum height of the coconut was 1 second after it was dropped.

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

(–3, –4)

(–2, –1)

(1, –3)

(3, 7)

Which graph shows the solution to the system of inequalities below?

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The expression 8x + 2(3y) represents the total amount, in dollars, that Davellyn spent on tank tops and scarves, where x represents the number of tank tops she bought and y represents the number of scarves she bought. Which statement must be true about the amount Davellyn spent?

She spent 8x dollars on scarves.

She spent 8 dollars for each scarf.

She spent 6y dollars on scarves.

She spent a total of 14 dollars.

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

2x + 3x + 9

2x + 3 + 9

2x + 3x + 9x

2 + 3x + 9

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

–100k + 3 + 101k = –245 – 181k

–100k + 300 + 101k = –245 – 181k

–k + 3 + 101k = –245 – 181k

–k + 300 + 101k = –245 – 181k

What is the inverse of the function f(x) = 4x + 8?

h(x) = x – 2

h(x) = x + 2

h(x) = x – 2

h(x) = x + 2

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

105

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

0.7(t) = t – 4 – 2

0.7(t) = t + 4 + 2

0.7t(4 + 2) = t

0.7(t + 4 + 2) = t

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current.2(x – y) = a b(x + y) = 8Which are true? Select two options.a = 8b = 8a = 1b = 1a = b

a = 8

b = 8

a = 1

b = 1

a = b

What is the value of x in the equation (x + 12) = (x + 14) – 3?

–24

–6

negative StartFraction 2 Over 3 EndFraction.

The radius and circumference of several objects were measured.

It is a weak positive correlation, and it is not likely causal.

It is a weak positive correlation, and it is likely causal.

It is a strong positive correlation, and it is not likely causal.

It is a strong positive correlation, and it is likely causal.

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

b = –2

b = –1.5

b = 1.5

b = 2

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

–0.872

–0.191

0.191

0.872

The table of values below shows data for a five-word spelling test.Number of Letters vs. Percentage who Spelled CorrectlyWordNumber of letters in the wordPercentage of students who spelled the word correctly17482912357346595827Which describes how the data for word 2 should be plotted on a coordinate grid?

From the origin, go 2 units to the right and 9 units up.

From the origin, go 2 units to the right and 12 units up.

From the origin, go 9 units to the right and 12 units up.

From the origin, go 12 units to the right and 9 units up.

This mapping shows a functional relationship.

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

As the x-values go to positive infinity, the function's values go to negative infinity.

As the x-values go to zero, the function's values go to positive infinity.

As the x-values go to negative infinity, the function's values are equal to zero.

As the x-values go to negative infinity, the function's values go to positive infinity.

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

F(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, ∞).

F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).

Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

$60

$80

$90

$100

A 2-column table with 8 rows. The first column is labeled t with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16.

(–4, 1)

(–4, –1)

(–1,1)

(–1, 2)

Which statement is true about the box plots?

Both the ranges and the interquartile ranges for the data sets are the same.

Neither the ranges nor the interquartile ranges for the data sets are the same.

The interquartile ranges for the box plots are the same, but their ranges are different.

The ranges for the box plots are the same, but their interquartile ranges are different.

The graph shows the relationship between the number of ounces of cereal in a box and the price of the cereal.

none

positive

negative

constant

What is the name of the type of data that a scatterplot is used to analyze?

univariate data

bivariate data

trivariate data

quadvariate data

How many terms are in the expression shown? 2n + 5 – 3p + 4q

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

miles he runs.

months he runs.

miles he ran the first day.

calories he burns.

Which region represents the solution to the given system of inequalities?

What is the range of the given function?{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

{x | x = –5, –4, –2, 0, 2}

{y | y = –9, –3, 0, 5, 7}

{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}

{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

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