x=1

1.5

−10x + 1 + 7x = 37

2/5 + p = 4/5 + 3/5p

Solve the equation.

-3x + 1 + 10x = x + 4

What is the solution to the linear equation?

6k + 10.5 = 3k + 12

What is the solution to the linear equation?

d – 10 – 2d + 7 = 8 + d – 10 – 3d

-3/4m-1/2=2+1/4m

What is the solution to the linear equation?

2.8y + 6 + 0.2y = 5y – 14

How many solutions exist for the given equation?

1/2(x + 12) = 4x – 1

How many solutions exist for the given equation?

12x + 1 = 3(4x + 1) – 2

Solve for n.

n + 1 = 4(n – 8)

How many solutions exist for the given equation?

1/2(x + 12) = 4x – 1

How many solutions exist for the given equation?

12x + 1 = 3(4x + 1) – 2

Solve for n.

n + 1 = 4(n – 8)

Solve for a.

7a – 2b = 5a + b

Solve for k.

8k + 2m = 3m + k

Solve the equation for a.

K = 4a + 9ab

Step 2: __________

Step 3: Divide both sides of the inequality by the coefficient of x.What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Solve the inequality.

2(4x – 3) ≥ -3(3x) + 5x?

Solve the equation.

2x − 3 + 4x = 21

How many solutions exist for the given equation?

3(x + 10) + 6 = 3(x + 12)

Sara wants to find the input value that produces the same output for the functions represented by the tables.

What is the input value that produces the same output value in both charts?

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the number of sides. Benita solves this equation for n and writes the equivalent equation n = + 2.

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?

-2

What is the range of the given function?

{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}

Input output graph -3,4

The function h(t) = -16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

What does h(3.2) represent?

The table represents a function.

Which value is an output of the function?

-2

function table in notes

The function f(x) is given by the set of ordered pairs.

{(1,0), (-10,2), (0,6), (3,17), (-2,-1)} Which equation is true?

View graph EF in notes

GRAPH EF2

graph EF3

Graph 1 in analyzing graphs

Adita has two options for how to invest $1,000.

Plan A: Put the $1,000 in an account that pays $100 per year.

Plan B: Put the $1,000 in an account that pays 5 percent interest per year.

Which statement is true?

1,296

#4

Which statement would best describe the graph of the function?

1

exponential, there is a constant rate of decay or decrease

g2

Which statement best describes the growth rates of the functions below?

-6 only

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers.

To the nearest tenth of a second, how much time would it take the penny to hit the ground?

Consider the function represented by the graph.

What is the domain of this function?

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table.

Which statement is true?

The graph represents a functional relationship.

Which value is an input of the function?

[-3, -1]

2,40, 3,60

The graph below represents the number of books Jaleel has read over the past x weeks. Which equation represents the graph?

Anderson is a plumber and is paid a fixed amount just to make a house visit. The remainder of his fee, y, is determined by the number of hours that he works, x, as shown below.

Which equation represents the graph?

The graph shows the amount of money Miguel earns after working x hours.

What is the ratio of the change in y-values to the change in x-values for this function?

The table shows the number of grapes eaten over several minutes.

What is the rate of change for the function on the table?

The table shows the profit from a school book fair based on the number of books sold.

What is the rate of change for the function represented in the table?

perimeter of 1 face and area of 1 face

side length and volume

The graph shows the increase in temperature over time in an oven.

What is the change in the y-values and x-values on the graph?

The graph of a linear function is shown.

Which word describes the slope of the line?

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Which statement describes the slope of the line?

The graph of a linear function is shown.

Which word describes the slope of the line?

g3

The table represents a linear function.

What is the slope of the function?

The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, …

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

Three points of a function are graphed.

Which statement describes the function through the points?

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

The table represents a bicycle rental cost in dollars as a function of time in hours.

Which explains whether or not the function represents a direct variation?

A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served.

If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?

The pattern of numbers below is an arithmetic sequence:

14, 24, 34, 44, 54, …

Which statement describes the recursive function used to generate the sequence?

What is the common difference in the following arithmetic sequence?

7, 3, -1, -5, ….

The table below shows the amount of money Sarah spends for a craft demonstration.

Number of People Attending

Cost

5$15

8$18

10$20

15$25

Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration

The table represents a linear function.

What is the slope of the function?

g2 unit review

Which piece of information does not represent the same information as the other three parts?

Mrs. Jackson gives the table below to her students.

In order for the function to be linear, what must m be and why?

The table represents the function f(x).

Which function of t has the same slope and y-intercept as f(x)?

A store offers packing and mailing services to customers. This table is given to customers to help them estimate the cost of shipping a box based on its weight in pounds, and a flat rate of $5 for packing.

Which equation represents the shipping cost as a function of x, the weight in pounds?

2. From that point, count left 3 units and down 1 unit and plot a second point.

3. Draw a line through the two points.

points are 0,-1 and 2,4

The table represents the function f(x).

Which function of t has the same slope and y-intercept as f(x)?

The table represents a linear equation.

Which equation correctly uses point (-2, -6) to write the equation of this line in point-slope form?

3y = -5x + 10

5x + 3y = 10

Raphael graphed the functions g(x) = x + 2 and f(x) = x – 1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

The y-intercept of f(x) is

A pattern of rectangles is formed by decreasing the length and increasing the width, each by the same amount. The relationship between x, the amount of increase, and A, the area of the rectangle represented by the increase, is quadratic.

Which graph could represent the area of each rectangle in terms of the change in the length and width?

0.40 1,45 2,47 8,25

Daniel is on an airplane flying to a destination 825 miles away. After one hour, the pilot announces that the plane is 495 miles away from its destination airport. In another hour, the pilot announces that the plane will begin its half-hour descent for the final 165 miles.

Which equation represents the remaining distance, in miles, to the destination in terms of t, the time, in hours, since leaving the airport?

The graph shows the population of a bacteria in an experiment, measured every hour.

Which function represents the population of the bacteria after t hours?

Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of her items and the number of erasers she purchased.

What is the cost of each eraser?

The half life of a certain substance is about 4 hours. The graph shows the decay of a 50 gram sample of the substance that is measured every hour for 9 hours.

Which function can be used to determine the approximate number of grams of the sample remaining after t hours?

Sophia plots points on a graph to represent the shape of a concave lens.

Which type of function should Sophia use to model the shape of the lens?

Teddy is preparing to sell some wooden blocks at a garage sale. Before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound by researching the weights of different sets of blocks. The graph shows his data.

About how many blocks are there per pound? Round to the nearest block.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.

According to the line of best fit, about how many minutes will it take for the temperature to reach 100°C, the boiling point of water?

Mr. Palmer does an experiment to investigate the effects of distractions on studying and learning. He gives each participant a line with 10 words to memorize in 5 minutes. Some of the participants are interrupted during the 5 minutes with text messages from friends. The graph shows the number of words remembered after 5 minutes and the number of text messages sent to the participants as distractions.

According to the line of best fit, about how many words would a person remember if he or she is distracted by 7 text messages?

The table shows the ages and weights of babies at a hospital.

What is the correlation between age and weight as shown in the table?

Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data.

According to the line of best fit, about how many times would the coin land heads up in 100 flips?

Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.

Which statement describes the slope of the line of best fit for the data?

a positive correlation between the number of homework assignments completed and the grade on the exam

a positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by hikers

a negative correlation between the number of digital photos uploaded to a website and the amount of storage space that is left

The table shows the time a patient spends at the dentist and the amount of the bill.

What is the correlation coefficient for the data in the table?

The table shows the relationship between time spent running and distance traveled.

Which type of model best describes the relationship?

Janna is making a prediction of the frequency of a key that is 12 keys from middle C.

Which best describes her prediction?

Jessica plots the data points relating the amount of money she needs to repay a loan and the number of months she has been making payments.

She calculates two regression models. Which is true?

The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = -0.78x + 95 models the data in the table.

Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?

The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the road.

What does the graph of the regression model show?

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.

About how many people had viewed the video once it had been online for 20 days?

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C.

Using the exponential regression model, which is the best prediction of the wavelength of the key that is 8 above the A above middle C?

The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.

For which year would this model most likely be sufficient to make a prediction of the population?

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.

A line of best fit for the data is represented by h = -21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

According to the line of best fit, about how many ounces of frozen yogurt can someone purchase for $5?

The table shows the height of a candle as it is continuously burned.

Which statement describes the candle?

A line of best fit is drawn for the set of points shown on the graph.

Which point is an approximate extrapolation for x = 30 from the line of best fit?

The table shows the value of a savings bond that doubles in value after 5 years.

Which statement describes the bond?

The graph shows the exponential regression model for data representing a rabbit population after x years.

Which is true of the regression model?

The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Which form of an equation was used to model the price of a gallon of milk?

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?

The table shows the average number of hours of daylight per day for the last four months of the year.

What is the correlation coefficient for the data in the table?

The table shows the shoe sizes of women of different ages.

Which best describes the strength of the model?

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = -16×2 + 100 models the data in the table.

For which value of x would this model make the least sense to use?

The table shows a company’s profit based on the number of pounds of food produced.

Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced?

Consider the function represented by the graph.

What is the domain of this function?

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

What does the slope of the graph mean?

Which value is an input of the function?

230p – 1010 = 650p – 400 – p

How many solutions exist for the given equation?

3(x + 10) + 6 = 3(x + 12)