MAP: Algebra 1 EOC

1

A system of equations is graphed below. What are the solutions to the system?

(0, 5.6) and (0, 13)

(0, 13) and (16, 1)

(4, 10) and (6.7, 7.975)

(16, 1) and (10, 0)

A1.REI.B.4

1

Which of the following are factors of the equation when written in factored form? Select all that apply.

A1.SSE.A.2

2

A1.IF.B.3

1

The table shows the distances that schools will travel to attend a field trip to the state capitol. School 7 has to travel 15 miles. If this outlier is added to the data, which is a true statement about how it changes the data in the table? Select all statements that apply.

A. The data is less spread.

B. The data is more spread.

C. Both the median and the mean change.

D. There is no change in the median and mean.

E. There is no change in the spread of the data.

F. The median stays the same, and the mean changes.

G. The median changes, and the mean stays the same.

A1.DS.A.3

1

The formula for the area of a trapezoid is
Solve for b1. Which equation is a correct value for b1?

null

A1.CED.A.4

1

The area, in square units, of a rectangle is represented by
If the width, in units, is 2x, what is the length, in units?
Enter the expression that represents the length, in units, in the box.

A1.APR.A.2

1

Which student correctly solved this expression?

A. Jo says the answer is

because the exponents should be added.

B. Kerrie says the answer is

because the exponents should be added.

C. Alex says the answer is

because the exponents should be multiplied.

D. Tracy says the answer is

because the exponents should be multiplied.

A1.NQ.A.1

1

This is the graph of y=f(x)
Which of the following is the graph of y=2f(x)-1?

A.

null

B.

null

A1.BF.A.1

1

A residual is defined as the difference between the actual value of the dependent variable and the value predicted by the model. Which graph best represents a relationship that minimizes residuals?

A

null

B

null

C

null

D

null

A1.DS.A.5.a

2

The ordered pairs in the table are possible solutions to the given equations.
Match each ordered pair to the equation for which it is a solution. Ordered pairs may be used more than once.

A1.REI.C.6

1

A police department captured 30 speeds on radar and organized their data in the box plot shown. What can be inferred from the data? Select all that apply.

A. The mean is equal to the median.

B. The mean is probably less than 30 mph.

C. The mean is probably more than 30 mph.

D. If an officer captures an additional speed of 70 mph, the mean must change.

E. If an officer captures an additional speed of 70 mph, the median must change.

A1.DS.A.1

1

Which equation completes the square to create an equivalent to
in the form of

A. (x-5)^2=12

B. (x+5)^2=12

C. (x+5)^2=25

D. (x-5)^2=25

A1.REI.A.2.a

2

Which of the equations are represented by the graph shown? Select all that apply.

A1.SSE.A.3.a

1

The graph of a linear equation is shown. What equation represents the graph shown? Enter an equation that represents the graph.

A1.CED.A.2

1

The quadratic function f(x) is shown in the graph below.
If the graph of f(x) is moved left 4 units and down 2 units, what would be the equation for the new graph in vertex form?

A. f(x)=(x-4)^2-2

B. f(x)=(x-1)^2+2

C. f(x)=(x+4)^2-2

D. f(x)=(x+2)^2+1

A1.BF.A.1

1

A car sales business is analyzing the number of cars sold and the average daily high temperature. The data is shown on the graph below. Which statement is correct based on the data?

A. The temperature gives no indication of car sales.

B. If the temperature is 50, the amount of car sales will definitely be 4 cars.

C. The higher temperature is correlated to higher car sales and causes the car sales to increase.

D. The higher temperature is correlated to higher car sales, but does not necessarily cause the car sales to increase.

A1.DS.A.8

1

Select the graph that shows the solutions to the system of linear inequalities.

null

A1.REI.C.8

Riley needs to save $300 for a computer. She gets an allowance of $10 a week and has already saved $75

1

A1.CED.A.1

1

What is the value that is a solution to the situation in Part A?

A. 20

B. 21

C. 22

D. 23

A1.CED.A.1

1

The following function was used to calculate the profit generated by selling T-shirts.
f(x)=15x-25 represents the number of t-shirts sold. Which statement is true of f(200)?

A. It results in 15 and means that 15 T-shirts were sold.

B. It results in 15 and means that $15 was made in profit.

C. It results in 2,975 and means that 2,975 T-shirts were sold.

D. It results in 2,975 and means that $2,975 was made in profit.

A1.IF.A.2

3

The equation of function f
The function of f is
Graph function f over its domain. Be sure to include labels and appropriate increments for the axes

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Paw graph type a ɛfata.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

Linear a ɛyɛ linear

A1.IF.A.1.b

1

Which of the following relations represent functions? Select all that apply.

A1.IF.A.1.a

1

A1.LQE.A.3

1

Match each function type with the function shown in each table.

A1.LQE.A.3

1

Which of the following statements describe the linear model shown? Select all that apply.

A. The number of days missed has no correlation to a student’s final exam grade.

B. A student with perfect attendance is expected to score approximately 98% on the math final.

C. A student with perfect attendance is expected to score approximately 38% on the math final.

D. For each day a student is absent, that student’s final exam score is expected to decrease approximately 6 percentage points.

E. For every sixth day a student is absent, a student’s final exam score is expected to decrease approximately 1 percentage point.

A1.DS.A.6

3

Compare f(x)=x^2x-3 and g(x). Function g(x) is show below.
Match the property with its corresponding function. A property may match one function, both functions, or neither function.

A1.IF.C.9

1

Which tables represent linear functions? Select all that apply.

A1.LQE.A.1.a

Johnathan is trying to solve the system of equations. Graph the system of equations.

1

Graph the systems of equations.

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

A1.REI.B.3

1

A1.REI.B.3

1

The following scatterplots show relationships between two variables. Match the correct correlation coefficient with each graph.

Draggable item		Corresponding Item
r = -0.76
r = 0.08
r = 0.43
r = -0.14

A1.DS.A.7

Tony moved to a new house and wants to install a pool and landscape the

yard. He will hire a company to manage the landscaping. T ony is considering

hiring Company A or Company B.

Company A’s and Company B’s landscaping costs are shown in the tables

below.

null

1

Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. How much will it cost to reseed the lawn? Show all work.

A1.NQ.B.3.a

1

Write an equation to model what it would cost if Company A was hired.

1

A1.LQE.A.3

1

A1.LQE.A.3

1

A1.CED.A.3

1

Tony is installing a rectangular pool in the backyard. The pool needs to have a length of 10 feet more than the width. The backyard is a square with each of its sides measuring 5 feet more than 3 times the width of the pool.
Write an expression for the area surrounding the pool after the pool is installed. Show your work.

A1.APR.A.1

MAP: Algebra 1 EOC

A system of equations is graphed below. What are the solutions to the system?

Which of the following are factors of the equation when written in factored form? Select all that apply.

The table shows the distances that schools will travel to attend a field trip to the state capitol. School 7 has to travel 15 miles. If this outlier is added to the data, which is a true statement about how it changes the data in the table? Select all statements that apply.

The formula for the area of a trapezoid is Solve for b1. Which equation is a correct value for b1?

The area, in square units, of a rectangle is represented by If the width, in units, is 2x, what is the length, in units? Enter the expression that represents the length, in units, in the box.

Which student correctly solved this expression?

This is the graph of y=f(x) Which of the following is the graph of y=2f(x)-1?

A residual is defined as the difference between the actual value of the dependent variable and the value predicted by the model. Which graph best represents a relationship that minimizes residuals?

The ordered pairs in the table are possible solutions to the given equations.Match each ordered pair to the equation for which it is a solution. Ordered pairs may be used more than once.

A police department captured 30 speeds on radar and organized their data in the box plot shown. What can be inferred from the data? Select all that apply.

Which equation completes the square to create an equivalent to in the form of

Which of the equations are represented by the graph shown? Select all that apply.

The graph of a linear equation is shown. What equation represents the graph shown? Enter an equation that represents the graph.

The quadratic function f(x) is shown in the graph below. If the graph of f(x) is moved left 4 units and down 2 units, what would be the equation for the new graph in vertex form?

A car sales business is analyzing the number of cars sold and the average daily high temperature. The data is shown on the graph below. Which statement is correct based on the data?

Select the graph that shows the solutions to the system of linear inequalities.

What is the value that is a solution to the situation in Part A?

The following function was used to calculate the profit generated by selling T-shirts. f(x)=15x-25 represents the number of t-shirts sold. Which statement is true of f(200)?

The equation of function f The function of f is Graph function f over its domain. Be sure to include labels and appropriate increments for the axes

Which of the following relations represent functions? Select all that apply.

Match each function type with the function shown in each table.

Which of the following statements describe the linear model shown? *Select all that apply.*

Compare f(x)=x^2x-3 and g(x). Function g(x) is show below.Match the property with its corresponding function. A property may match one function, both functions, or neither function.

Which tables represent linear functions? Select all that apply.

Graph the systems of equations.

The following scatterplots show relationships between two variables. Match the correct correlation coefficient with each graph.

Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. How much will it cost to reseed the lawn? Show all work.

Write an equation to model what it would cost if Company A was hired.

A system of equations is graphed below. What are the solutions to the system?

Which of the following are factors of the equation when written in factored form? Select all that apply.

The table shows the distances that schools will travel to attend a field trip to the state capitol. School 7 has to travel 15 miles. If this outlier is added to the data, which is a true statement about how it changes the data in the table? Select all statements that apply.

The formula for the area of a trapezoid is Solve for b1. Which equation is a correct value for b1?

The area, in square units, of a rectangle is represented by If the width, in units, is 2x, what is the length, in units? Enter the expression that represents the length, in units, in the box.

Which student correctly solved this expression?

This is the graph of y=f(x) Which of the following is the graph of y=2f(x)-1?

A residual is defined as the difference between the actual value of the dependent variable and the value predicted by the model. Which graph best represents a relationship that minimizes residuals?

The ordered pairs in the table are possible solutions to the given equations.Match each ordered pair to the equation for which it is a solution. Ordered pairs may be used more than once.

A police department captured 30 speeds on radar and organized their data in the box plot shown. What can be inferred from the data? Select all that apply.

Which equation completes the square to create an equivalent to in the form of

Which of the equations are represented by the graph shown? Select all that apply.

The graph of a linear equation is shown. What equation represents the graph shown? Enter an equation that represents the graph.

The quadratic function f(x) is shown in the graph below. If the graph of f(x) is moved left 4 units and down 2 units, what would be the equation for the new graph in vertex form?

A car sales business is analyzing the number of cars sold and the average daily high temperature. The data is shown on the graph below. Which statement is correct based on the data?

Select the graph that shows the solutions to the system of linear inequalities.

What is the value that is a solution to the situation in Part A?

The following function was used to calculate the profit generated by selling T-shirts. f(x)=15x-25 represents the number of t-shirts sold. Which statement is true of f(200)?

The equation of function f The function of f is Graph function f over its domain. Be sure to include labels and appropriate increments for the axes

Which of the following relations represent functions? Select all that apply.

Match each function type with the function shown in each table.

Which of the following statements describe the linear model shown? *Select all that apply.*

Compare f(x)=x^2x-3 and g(x). Function g(x) is show below.Match the property with its corresponding function. A property may match one function, both functions, or neither function.

Which tables represent linear functions? Select all that apply.

Graph the systems of equations.

The following scatterplots show relationships between two variables. Match the correct correlation coefficient with each graph.

Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. How much will it cost to reseed the lawn? Show all work.

Write an equation to model what it would cost if Company A was hired.

Write an equation to model what it would cost if Company B was hired.

Which company would cost Tony the least amount to landscape 2,500 square feet? Explain your answer.

Write an equation to model what it would cost if Company B was hired.

Which company would cost Tony the least amount to landscape 2,500 square feet? Explain your answer.

The formula for the area of a trapezoid is
Solve for b1. Which equation is a correct value for b1?

The area, in square units, of a rectangle is represented by
If the width, in units, is 2x, what is the length, in units?
Enter the expression that represents the length, in units, in the box.

This is the graph of y=f(x)
Which of the following is the graph of y=2f(x)-1?

The ordered pairs in the table are possible solutions to the given equations.
Match each ordered pair to the equation for which it is a solution. Ordered pairs may be used more than once.

Which equation completes the square to create an equivalent to
in the form of

The quadratic function f(x) is shown in the graph below.
If the graph of f(x) is moved left 4 units and down 2 units, what would be the equation for the new graph in vertex form?

The following function was used to calculate the profit generated by selling T-shirts.
f(x)=15x-25 represents the number of t-shirts sold. Which statement is true of f(200)?

The equation of function f
The function of f is
Graph function f over its domain. Be sure to include labels and appropriate increments for the axes

Which of the following statements describe the linear model shown? Select all that apply.

Compare f(x)=x^2x-3 and g(x). Function g(x) is show below.
Match the property with its corresponding function. A property may match one function, both functions, or neither function.

The formula for the area of a trapezoid is
Solve for b1. Which equation is a correct value for b1?

The area, in square units, of a rectangle is represented by
If the width, in units, is 2x, what is the length, in units?
Enter the expression that represents the length, in units, in the box.

This is the graph of y=f(x)
Which of the following is the graph of y=2f(x)-1?

The ordered pairs in the table are possible solutions to the given equations.
Match each ordered pair to the equation for which it is a solution. Ordered pairs may be used more than once.

Which equation completes the square to create an equivalent to
in the form of

The quadratic function f(x) is shown in the graph below.
If the graph of f(x) is moved left 4 units and down 2 units, what would be the equation for the new graph in vertex form?

The following function was used to calculate the profit generated by selling T-shirts.
f(x)=15x-25 represents the number of t-shirts sold. Which statement is true of f(200)?

The equation of function f
The function of f is
Graph function f over its domain. Be sure to include labels and appropriate increments for the axes

Which of the following statements describe the linear model shown? Select all that apply.

Compare f(x)=x^2x-3 and g(x). Function g(x) is show below.
Match the property with its corresponding function. A property may match one function, both functions, or neither function.