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11/17/23 - Mixed Review Quiz

Total questions: 25

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

2.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

3.
A graph is presented. What are the domains for this graph?
a)
-4,-1,4,5,8
b)
-6,0,2,3,4
c)
1,0,9,-4,5
d)
-6,0,4,5,8
4.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
5.

A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.

What is a possible range for this situation?

a)

{1,2,3,4}

b)

{75,125,175,225}

c)

{𝑥 | 1 ≤ 𝑥 ≤ 4}

d)

{𝑦 | 25 ≤ 𝑦 < 225}

6.

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?

a)

{𝑥 | 0 ≤ 𝑥 < 50}

b)

{−12,−11,12,20,50}

c)

{𝑥 | 10 ≤ 𝑥 < 100}

d)

{10,11,12,13,14}

7.

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where 𝑢 is the number of calendars made. If there are at least 10 calendars made, what is a possible range for this function?

a)

{25,30.5,36,41.5,47}

b)

{80,85.5,113,124,140.5}

c)

{𝑦 | 0 ≤ 𝑦 < 25}

d)

{𝑦 | 10 ≤ 𝑦 < 50}

8.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

What is the range of the function for this situation?

a)

{0,1,2,3,4,5,6}

b)

{4, 24, 44, 64, 84, 104, 124}

c)

{0,2,4,6}

d)

{4, 44, 84, 124}

9.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

What is the domain of the function for this situation?

a)

{0,1,2,3,4,5,6}

b)

{4, 24, 44, 64, 84, 104, 124}

c)

{0,2,4,6}

d)

{4, 44, 84, 124}

10.

Joe had a summer job that pays $7.00 an hour and he worked  between 15 and 25 hours every week. His weekly salary can be  modeled by the equation:   y = 7x, where y is his weekly salary and  x is the number of hours he worked in a week. What is a reasonable domain for this function?

a)

{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

b)

{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

c)

{x | 15 ≤ x ≤ 25}

d)

{x | 105 ≤ x ≤ 168}

11.

Joe had a summer job that pays $7.00 an hour and he worked  between 15 and 25 hours every week. His weekly salary can be  modeled by the equation:   y = 7x, where y is his weekly salary and  x is the number of hours he worked in a week. What is a reasonable range for this function?

a)

{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

b)

{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

c)

{y | 15 ≤ y ≤ 25}

d)

{y | 105 ≤ y ≤ 168}

12.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

13.

Which point-slope equation matches the graph?

a)

y4=32(x2)y-4=\frac{3}{2}\left(x-2\right)  

b)

y2=32(x4)y-2=\frac{3}{2}\left(x-4\right)  

c)

y+2=23(x+4)y+2=\frac{2}{3}\left(x+4\right)  

d)

y+4=23(x+2)y+4=\frac{2}{3}\left(x+2\right)  

14.

Write the equation that created this table.

a)

y = 3x - 9

b)

y = 3x + 3

c)

y = -3x + 3

d)

y = 6x + 5

15.

Write the equation of the line represented by this table.

a)

y= 3x+5

b)

y = -3x + 5

c)

y= 8x - 1

d)

y = 3x + 14

16.

Which equation matches this table?

a)

y=x+8y=-x+8

b)

y=12x+8y=-\frac{1}{2}x+8

c)

y=2x+9y=-2x+9

d)

y=12x+9y=-\frac{1}{2}x+9

17.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
18.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
19.

Give the y-intercept
a)
(2,0)
b)
(0,2)
c)
(0,-2)
d)
there is no y-intercept
20.

zero

a)

where the graph crosses/intersects the x-axis

b)

where the graph crosses/intersects the y-axis

c)

steepness of the line

d)

Change in y over the change in x

21.

Given the above situation, what does the x-intercept represent?

a)

The recreation center is 9 miles away

b)

It took 28 minutes to bike ride to the recreation center

c)

It took 9 minutes to bike to the recreation center

d)

The recreation center is 28 miles away

22.

What is the zero of the graph?

a)

(12, 0)

b)

(0, 12)

c)

(0, -4)

d)

(-4, 0)

23.
a)
1 minute per day
b)
2 minutes per day
c)
3 minutes per day
d)
15 minutes per day
24.

The table shows the cost of long distance calls based on the number of minutes used. Is there a constant rate of change, and if so what is it?

a)

Yes, 10 calls per minute

b)

Yes, $.10 per minute

c)

Yes, $.40 per minute

d)

Not a constant rate

25.

What is the constant rate of change between the quantities in the table?

a)

40 CALORIES PER MIN.

b)

15 CALORIES PER MIN.

c)

4 CALORIES PER MIN.

d)

60 CALORIES PER MIN.