Free Printable EOC Review 1 (Linear + Exponential)

Worksheets

EOC Review 1 (Linear + Exponential)

Total questions: 67

Worksheet time: 4hrs 36mins

Name

Class

Date

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

Function

Not a Function

Is this mapping a function or not a function?

Function

Not a Function

All of the y values or outputs are called what?

Domain

Range

Relation

Function

All of the x values or inputs are called what?

Domain

Range

Relation

Function

What is the rate of change for the following graph?

160

Find the rate of change.

-2 minutes per gallon

-20 minutes per gallon

-2 gallons per minute

-20 gallons per minute

What is the slope in the equation y=2x + 3?

Cannot be Determined

What is the y-intercept of the line graphed below?

-3

4/3

10.

Find the slope of the line.

Undefined

-1

11.

What is the equation of this line?

y = 2x +2

y = 2x -2

y = -x + 2

Cannot be Determined

12.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

y = 3x + 2.5

y = 2.50x + 3

y = 2.50x

y = 3x + 2.50

13.

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

A) As the number of coffee shops increase, violent crimes appears to increase.

B) The line of best fit (regression line) shows a positive correlation

C) The data has a positive correlation coefficient

D) An increase in coffee shops causes an increase in violent crimes

14.

As study time _______________, errors _______________.

increases ; decrease

increases ; increase

decreases; decrease

increases ; stays the same

15.

What is the correlation?

Negative correlation

No correlation

Positive correlation

16.

Mr. Romario receives his monthly salary by direct deposit into his checking account. The scatterplot below displays his balance, y, after x days of making the deposit. Using your calculator to fit a linear model that most closely represents this data, what is the slope and what is the meaning of the slope?

Mr. Romario had $2,000 in his account at the beginning of the month

Mr. Romario spends about $80 per day

Mr. Romario deposited $2,000 per day

Mr. Romario earns $80 per day

17.

Which of these correlations represent causation?

As the number of high schools increases, the number of enrolled students goes up.

As the number of weddings increases, the number of marriage licenses increases.

As the number of gym memberships increases, the number of people who lose weight increases.

As the number of visitors to theme parks increases, the number of hamburgers sold at theme park concession stands increases.

18.

A scatter plot for Deanna’s race times and weeks training are displayed below. In what week was Deanna’s time closest to her time predicted by the line of best fit for the data?

19.

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

intersecting lines

20.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

21.

How many solutions does this system of equations have?

One Solution

No solution

Infinitely Many Solutions

Two Solutions

22.

If a system of linear equations has one solution, what does this mean about the two lines?

Parallel lines

the same line

Intersecting lines

23.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

(1, 5)

(5, 1)

(0.25, 2)

∅

24.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

(5, 8)

(5, -8)

(-5, -18)

(-5, 8)

25.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

y = 9.65 + x
y = 8.40 + x

y = 9.65x + 43
y = 8.40x + 58

y =9.65x
y = 8.40x

y = 9.65x - 43
y = 8.40x - 58

26.

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

27.

Is (0,0) a solution to the system?

Solution

Not a solution

28.

Is (-2, 0) a solution to the system?

Solution

Not a solution

29.

^{Which point is a solution to the system of inequalities?}

(-8,2)

(-2,-5)

(0,6)

(4, 3)

30.

Which point below is NOT part of the solution set?

(0, 0)

(5, 1)

(-1, -3)

(20, -5)

31.

The graph shows which inequality?

y ≤ 3

y ≥ 3

y > 3

x > 3

32.

What is the inequality symbol for the equation of this boundary line?

less than

less than or equal to

greater than

greater than or equal to

33.

Which system of inequalities is shown?

y ≥ -x - 1
y < x + 4

y < -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 3

34.

Match

y < x−2
y < 3

y > -x+2
y > 3

y < -x+2
y < 3

y < -x+2
y > 3

35.

Which of the following is a solution to the systems of inequalities?

(0, -2)

(-3, 0)

(-3, 2)

(1, 1)

36.

Which of the following is a solution to the systems of inequalities?

(0, 0)

(1, 1)

(-4, -2)

(4, -2)

37.

Which equation best represents the relationship between x and y in the table shown?

y= 5x+5

y=1/5x+5

y=15x+5

y=10x+5

38.

Given the table, write the equation in the slope-intercept form.

y = 1/3x + 6

y = 3x + 6

y = 2x + 6

y = 1/2x + 6

39.

Choose the inequality that best matches the graph.

40.

Write the equation in point-slope form for the line that contains the points

(-2, -3), (4, 3)

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

41.

Which of the equations below would have a line that passes through both (1, 7) and (0, −9)?

y = 1/2x − 9

y = 16x − 9

y = -1/2x − 9

y = =16x − 9

42.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

h = 2C + 15

C = 15h + 2

h = 15C + 2

C = 2h + 15

43.

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

150c + 325d < 6,500

325c + 150d <6,500

150c + 325d ≤ 6,500

325c + 150d ≤ 6,500

44.

A donut shop charges $0.70 for each donut and $0.30 for a carryout box. Shirley has $5.00 to spend. She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box. Which equation can be used to answer this problem?

70x + 30 < 500

30x + 70 < 500

70x + 30 ≤500

30x + 70 ≤ 500

45.

What type of function is f(x)=2(1/7)^x ?

Exponential Growth

Linear

Exponential Decay

None of the Abovee

46.

Simplify the exponential expression.

2x⁶y¹²

2x⁵y⁷

8x⁶y¹²

8x⁵y⁷

47.

What type of function is y = 7(5/4)^x?

Exponential Growth

Exponential Decay

Linear

None of the above

48.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(1+3)^x

f(x)=400(1-0.03)^x

f(x)=400(1+0.03)^x

f(x)=400(0.03)^x

49.

What is the transformation?

Vertical Translation up 2 and Horizontal translation right 1

Vertical Translation down 2 and Horizontal Translation left 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

50.

What is the transformation?

Vertical Translation up 2

Vertical Translation down 2

Horizontal Translation left 2

Horizontal Translation right 2

51.

What is the transformation?

Vertical Translation up 1

Vertical Translation down 1

Horizontal Translation left 1

Horizontal Translation right 1

52.

Is the pictured graph growth, decay, or linear or quadratic?

Growth

Decay

Linear

Quadratic

53.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

54.

Which equation describes the story below?

You start with $5 and triple your money every day.

y=5(3)^x

y=5^x

y=5(3x)

y=15^x

55.

What is the slope-intercept form of a line?

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

y = Ax + By

56.

What is standard form of a line?

y = mx + b

Ax + By = C

y - y1 = m(x - x1)

y = Ax + By

57.

What is the x-intercept of
x+4y=7?

(7/4, 0)

(0, 7/4)

(7, 0)

(0,7)

58.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

(3, 0) and (0, -5)

(0, 3) and (-5, 0)

(5, 15) and (15, 3)

(0, -3) and (5, 0)

59.

7²

7^1/2

7^-2

7^-1/2

60.

4^4/3

4^3/4

2^4/3

2^3/4

61.

2^3/5

-2^3/5

2^5/3

8⁵

62.

216

6^1/2

6²

6^3/2

63.

Re-write the expression in radical form.
x^2/3

∛x²

√x³

(1/x)

∛x

64.

Write in exponential form
∛x⁷

x⁷∕ ³

x3⁄7

3x⁷

7x³

65.

Simplify the following expression:

125

625

66.

Simplify:

67.

Simplify:

Reset

EOC Review 1 (Linear + Exponential)

Total questions: 67

Worksheet time: 4hrs 36mins

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