NC Check-In Review Part B

1st Semester

NC Math
Check-In Review

Fill in the Blanks

A line, y = mx + b, passes through the point (1, 6) and is parallel to y = 4x + 6. What is the value of b?

OOnly 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

Joanna has a total of 50 coins in her purse.

• The coins are either nickels or quarters.

• The total value of the coins is $7.10.

Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse?

Multiple Choice

The monthly cost, y, for Eric’s cellphone plan is represented by the function y = 45 + 0.05x, where x is the number of minutes he uses over 30. What is the meaning of the slope of the line?

• He pays $0.05 for 30 minutes.

• He pays $45.00 for 30 minutes.

• He pays $0.05 per minute after 30 minutes.

• He pays $0.45 per minute after 30 minutes.

Fill in the Blanks

A company charges an initial fee plus an hourly rate to rent scooters. This table shows the total cost to rent a scooter for different amounts of time. What is the hourly rate (in dollars) that the company charges to rent a scooter?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

The function f(x) = –0.25x + 5 models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept of the function?

• the initial height of the candle

• the final height of the candle

• the rate at which the candle is burning

• the amount of time it will take the candle to burn

Fill in the Blanks

The total cost, in dollars, of membership in a fitness center is given by the function

c(m) = 20m + 40, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

A company uses the formula T = 581s + 150p to determine the total cost to purchase s computers and p printers. Which formula can be used to determine the number of printers purchased, given the total cost, T, and the number of computers purchased?

Fill in the Blanks

What is the value of x in the system of equations shown below?

5x + 4y = 1 and y = 1 – x

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

A set of nine data points is shown below.

8, 11, 12, 10, 9, 7, 5, 3, 9

Which statement is true if a tenth data point of 45 is added to the data set?

• The mean and median will both increase.

• The mean will increase and the median will decrease.

• The mean will increase and the median will remain the same.

• The mean and median will both decrease.

Fill in the Blanks

What is the distance, in units, between the y-intercept of f(x) = x² + 7x – 18 and the y-intercept of the linear function that passes through the points shown in the table below?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Fill in the Blanks

What is the value of x in the equation shown below?

2(x + 8) – 4x = 10x + 4

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

The graph below shows the relationship between time and the height of a hot air balloon. Which of the following BEST describes the slope of the graph?

• the distance the balloon is from the ground in feet

• the rate at which the balloon rises in feet per minute

• the number of minutes the balloon has been in the air

• the number of minutes the balloon takes to reach its maximum height

Match

Three systems of equations are shown in the table below.

Please click and drag the choice that describes the number of solutions of each system into the appropriate column in the table below.

One Solution

Infinitely Many Solutions

No Solution

• One Solution

• Infinitely Many Solutions

• No Solution

Multiple Choice

Which equation represents the line that is perpendicular to the graph of 4x + 3y = 9 and passes through (–2, 3)?

• 3x - 4y = -18

• 3x + 4y = 18

• 3x - 4y = -6

• 3x + 4y = 6

Multiple Choice

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began?

• f(x) = 2x + 3

• f(x) = 3x + 1

• f(x) = 1.5(2)^x

• f(x) = 3(2)^x

Multiple Choice

What is the solution to the inequality 9(2 + 2x) + 3(2x – 10) ≤ -36?

• x ≤ 1

• x ≥ 1

• x ≤ 2

• x ≥ 2

Multiple Choice

Which choice could be modeled by a linear function?

• the amount of money, y, in an account after x years earning 4% interest compounded annually

• the monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute

• the height, y, of a ball after bouncing x times, if each bounce reaches 2 3 the previous height

• the amount, y, of radioactive material remaining after x years when decay occurs at a rate of 30% each year

Multiple Choice

Oscar planted a tomato seed in his garden. Each day he recorded the height of the tomato plant.

During which interval did the tomato plant grow the fastest?

• Day 4 to Day 6

• Day 6 to Day 8

• Day 8 to Day 10

• Day 10 to Day 12

Fill in the Blanks

The function a(n) = 3n – 7 represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

The table below shows the U.S. average life expectancy at birth, in years, in various decades. What is the meaning of the slope of the linear best-fit equation for the data?

• The predicted average life expectancy at birth in 1930 was about 62.7 years.

• The predicted average life expectancy at birth in 1930 was about 57.6 years.

• The average life expectancy at birth increases by about 6.7 each year.

• The average life expectancy at birth increases by about 0.2 each year.

Multiple Choice

Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an average of exactly 91 on her history quizzes?

• 90

• 94

• 98

• 100

Multiple Choice

The perimeter of the triangle below is 8x – 6. Which expression represents the length of QR?

• 4x - 4

• 4x - 6

• 6x - 4

• 6x - 8

Multiple Choice

What are the solutions to the equation 4x² – 52x + 169 = 121?

• {1, –12}

• {–1, 12}

• {–1, –12}

• {1, 12}

Multiple Choice

Two functions are shown below.

f(x) = 3x + 7

g(x) = 2x + 12

What is the value of x where the graphs of f(x) and g(x) intersect?

• -22

• -5

• 5

• 22

Multiple Choice

In the given table, a store manager records how many T-shirts were sold at several different prices. Using a linear model, what is the equation for the line of best fit?

Multiple Choice

Marcus measured the height, in inches, y, of plants over the course of 3 weeks. The correlation coefficient between the number of days, x, and the height of the plants is 0.85. Which could be concluded based on the correlation coefficient of the data?

• There is a strong relationship showing that as the number of days increases, the height of the plants increases.

• There is a strong relationship showing that as the number of days increases, the height of the plants decreases.

• There is a weak relationship showing that as the number of days increases, the height of the plants increases.

• There is a weak relationship showing that as the number of days increases, the height of the plants decreases.

Fill in the Blanks

A function is shown below.

g(x) = 19.60 + 1.74x

What is the value of g(30)?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Multiple Choice

What is the distance between the y-intercept of the function

f(x) = 2x² – 6x + 3 and the y-intercept of the linear function g represented by the table below?

• 2 units

• 3 units

• 8 units

• 9 units

Multiple Choice

The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm). Using the linear best-fit model for the data, what is the predicted running heart rate of a girl whose walking heart rate is 100 bpm?

• 161 bpm

• 163 bpm

• 165 bpm

• 167 bpm

Multiple Choice

The table below shows the hours, x, spent working on a new road and the distance, y, of finished road. What is the slope of the line that fits these data?