Free Printable Unit 1B Test

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Unit 1B Test

Total questions: 44

Worksheet time: 2hrs 38mins

Name

Class

Date

Does this mapping diagram represent a function?

No, because an input value goes to multiple output values

Yes, because each input goes to one and only one output

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

Is this table a function or not a function?

Function

Not a Function

Is this a function?

Yes, it is a function.

No, it is not a function.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

y = 30 + 12.5x

y = 12.5 + 30

y = 12.5 + 30x

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

y = 48x + 5

y = -5 + 48x

y = -5x - 48

y = 48 - 5x

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

A YouTuber can predict her subscriber count using the function s(v) = 0.3v + 430, where v is the number of views on her new video. What is the predicted number of new subscribers if she has 5,000 new views on her video?

(a)

10.

The manager of a grocery store determined that the number of bananas remaining on the shelves at her store can be determined by the function

b(n) = 150 − 6n, where n is the number of hours since the store opened. How many bananas are left on the shelves after the store has been open for 6 hours?

(a)

11.

Which is the graph of y= -x + 2?

12.

Which graph best represents the equation y = -3x + 4?

13.

Which could be the graph of the equation y = 1/3x - 2?

14.

Write the equation of the line.

y = 1x+1

y=1x-1

y=-1x+1

y=-1x-1

15.

The graph of a linear function is shown on the grid.

Which function is best represented by this graph?

$g\left(x\right)=6x+4$

$g\left(x\right)=4x-\frac{2}{3}$

$g\left(x\right)=-\frac{3}{2}x+6$

$g\left(x\right)=-\frac{2}{3}x+4$

16.

Look at the graph. Which equation represent the same linear relationship as the graph?

$5x-3y=15$

$3x+5y=15$

$3x-5y=-15$

$5x+3y=-15$

17.

Determine the domain

All real numbers

(-∞, 6]

[-6, 6]

18.

Describe the following graph.

Increasing

Decreasing

Vertical

Horizontal

19.

Determine the range

All real numbers

(-∞, 2]

[-6, 2]

20.

Where is the graph increasing?

Always

Never

21.

What is the end behavior?

As x increases, y increases
As x decreases, y decreases

As x increases, y decreases
As x decreases, y increases

22.

What is the y-intercept?

(6, 0)

(0, 6)

(-3, 0)

(0, -3)

23.

Find the range of the graph below.

-2 ≤ x < 4

-3 < x ≤ 4

-2 ≤ y < 4

-3 < y ≤ 4

24.

Function f is graphed to the right. What is the range of f?

-2 ≤ x < 4

-2 < x ≤ 4

-3 ≤ y < 3

-3 < y ≤ 3

25.

Identify the Domain of the graph depicted.

0 ≤ x ≤ 180

0 ≤ y ≤ 180

0 ≤ x ≤ 1500

0 ≤ y ≤ 1500

26.

A.2A: A daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber work a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

0 ≤ x ≤ 8

80 ≤ y ≤ 440

0 ≤ x ≤ 10

45 ≤ y ≤ 685

27.

The table represents some points on the graph of a linear function. Which of the following statements are best represented by the linear function? (Select all that apply)

x-intercept: $\left(6,0\right)$

x-intercept: $\left(0,6\right)$

y-intercept: $\left(0,\ -2\right)$

slope: $\frac{1}{3}$

28.

What are the x- and y -intercepts on this graph?

(0,5), (0,5)

(5,0), (5,0)

(5,0), (0,5)

(0,0), (5,0)

29.

What is the y-intercept?

30.

What is the x-intercept?

-3

31.

Given the table of values, which point is a y-intercept?

-6

32.

Write the equation in slope-intercept form: 3x + y = 12

y = -3x +12

x = y + 4

x = y + 12

y = 3x -12

33.

Write the equation in slope-intercept form: 2x + y = 41

x = 2y + 41

y = 2x -41

y = -2x + 41

x = y -39

34.

y=-3x+1

y=3x+1

y=1/3x+1

y=-1/3x-1

35.

Which inequality describes this graph...

y < 3x - 2

y > 3x + 2

y < 3x + 2

y > 3x -2

36.

This is a graph of which inequality?

y > 4x - 2

y > -2x + 4

y < -2x

y < 4X - 2

37.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

Yes because it is located in the shaded region.

No because it is located on the line and the line is dotted.

Yes because it is located on the line.

No because it is in the shaded region.

38.

Choose the correct inequality for this graph.

39.

Which inequality describes this graph...

y < 3x - 2

y > 3x + 2

y < 3x + 2

y > 3x -2

40.

Find S_n for the given series:
a₁=22
d=-8
n=21

1911

-1449

-2436

-1218

41.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

-515

-490

-535

460

42.

Find an explicit rule for the nth term of the sequence.

a_n= 15+(n-1)4

a_n= -15+(n-1)4

a_n= -15+(n-1)3

a_n= 4n -19

43.

Find the 16th term of the sequence 1, 5, 9, 13, ...

44.

Find the 25th term of the arithmetic sequence 3, 7, 11, 15,19,...

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Unit 1B Test

Total questions: 44

Worksheet time: 2hrs 38mins

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