10/30/17 Released Items

by Christine Eckerty

| 29 QuestionsNote from the author:

Practice Algebra EOC

1

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 (7, 7.75)

(16, 1) and (10, 0)

2

1

Which of the following are factors of the equation when written in

factored form? Select all that apply.

a - 4

a + 4

2a - 9

2a - 3

2a + 3

2a + 9

3

2

Kelli recorded the amount of money she earned, y, for hours

worked, x, in the table shown below. Select all that apply.

The function is increasing.

The function is decreasing.

The function is linear.

The functions is quadratic.

The functions is exponential.

The y-intercept is (1, 15).

The y-intercept is (0, 1).

The y-intercepts is (0, 0).

4

1

The table below 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 data is less spread.

The data is more spread.

Both the median and the mean change.

There is no change in the median and mean.

There is no change in the spread of the data.

The median stays the same, and the mean changes.

The median changes, and the mean stays the same.

5

1

The formula for the area of a trapezoid is

Solve for bᵢ . See the image below to choose which equation is a correct value for bᵢ ?

A

B

C

D

6

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, below.

7

1

Which student correctly solved this expression?

See the image below to choose the correct answer.

A - Jo

B - Kerri

C - Alex

D - Tracy

8

1

Which of the following is the best method for solving?

factor

inspection

quadratic formula

square root property

9

2

Which ordered pair(s) satisfy the function below?

Select all that apply.

(-1, 1)

(-1, -1)

(-2, -2)

(2, -2)

(-2, 2)

10

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 below best represents a relationship that minimizes residuals?

A

B

C

D

11

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.

12

1

A police department captured 30 speeds on radar and organized their data in the box plot shown below.

What can be inferred from the data? Select all that apply

The mean is equal to the median.

The mean is probably less than 30 mph.

The mean is probably more than 30 mph.

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

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

13

1

Which equation completes the square to create an equivalent to

in the form of

(x − 5)² = 12

(x + 5)² = 12

(x + 5)² = 25

(x − 5)² = 25

14

2

Which of the equations are represented by the graph shown below?

Select all that apply.

y = (x - 2)(x - 4)

y = (x - 3)² - 1

y = (x - 3)² + 1

y = x² - 6x + 8

y = x² + 6x +8

15

1

The graph of a linear equation is shown below.

What equation represents the graph shown?

16

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?

f(x) = (x - 4)² - 2

f(x) = (x - 1)² + 2

f(x) = (x + 4)² - 2

f(x) = (x +2)² +1

17

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?

The temperature gives no indication of car sales.

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

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

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

18

1

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

Select the letter of the images below.

A

B

C

D

19

2

The following question has two parts. First, answer Part A. Then, answer Part B.

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

Part A: How many weeks, x, until Riley will have enough money to buy the computer?

Select the correct symbol to model the situation.

300 ______ 10x + 75

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

Make sure you have selected an answer for both parts.

>

<

=

20

21

22

23

20

1

The following function was used to calculate the profit generated by selling T-shirts.

Let f(x) = 15x − 25 represent the profit function and x represent the number of T-shirts sold.

Which statement is true of f(200)?

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

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

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

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

21

1

Graph the inequality.

22

2

Which of the relations below represent functions?

Select all that apply.

A

B

C

D

E

23

1

A student graphs f(x) = x² and then graphs g(x) = x² + 5.

Select the word that correctly completes the sentence.

The graph of g(x) will be shifted _____ 5 units from the graph of f(x).

up

down

left

right

24

2

Draw a line from each function type to the function shown in each table.

25

1

Which of the following statements describe the linear model shown below?

Select all that apply.

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

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

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

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

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

26

2

Compare f(x) = x² − 2x − 3 and g(x). Function g(x) is shown below.

Match the property with its corresponding function.

A property may match one function, both functions, or neither function.

27

1

Which tables represent linear functions? Select all that apply.

A

B

C

D

E

F

28

1

The following question has two parts.

First, answer Part A. Then, answer Part B.

Johnathan is trying to solve the system of equations: y = −2x + 3 y = 1 2 x − 2

Part A Graph the system of equations.

Part B What is the solution to the system?

29

1

The following scatterplots show relationships between two variables.

Draw a line from the correct correlation coefficient to each graph.

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