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Illustrative Math Algebra 1 Unit 4 Review

Total questions: 85

Worksheet time: 6hrs 35mins

Name
Class
Date
1.

It is the set of all x-coordinates.

a)

relation

b)

function

c)

domain

d)

range

2.

Which of the following is not a function?

a)

the teacher and her students

b)

the husband to his wife

c)

the city and its capital

d)

an item and its price

3.

A relation in which each possible input value leads to exactly one output value.

a)

relation

b)

function

c)

domain

d)

range

4.
a)

function

b)

not a function

5.

It is the set of all y-coordinates.

a)

relation

b)

function

c)

domain

d)

range

6.
a)

constant function

b)

identity function

c)

absolute value function

d)

piecewise function

7.

Which of the following is a function?

a)
b)
c)
d)
8.
a)

function

b)

not a function

9.

It is the dependent variable in the linear function.

a)

x

b)

y

c)

m

d)

b

10.

Which of the following is not a function?

a)

f = {(1,2),(2,4),(3,6),(4,8),(5,10)}f\ =\ \left\{(1,2),(2,4),(3,6),(4,8),(5,10)\right\}

b)

g = {(−1,3),(0,1),(2,5),(4,8),(8,8)}g\ =\ \left\{(-1,3),(0,1),(2,5),(4,8),(8,8)\right\}

c)

h = {(1,1),(1,2),(2,3),(2,4),(3,4)}h\ =\ \left\{(1,1),(1,2),(2,3),(2,4),(3,4)\right\}

d)

k ={(−2,2),(−1,3),(0,4),(1,5),(2,6)}k\ =\left\{(-2,2),(-1,3),(0,4),(1,5),(2,6)\right\}

11.
Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.
a)
x + 2y < 240
b)
x + 2y > 240
c)
x + 2y ≤ 240
d)
x + 2y ≥ 240
12.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
13.
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 
a)
7x + 13y < 81
b)
7x + 13y ≥ 81
c)
7x + 13y ≤ 81
d)
7x + 13y > 81
14.
Are the points on the line part of the solution set or not? For example
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
15.
How can I tell if the graph of an inequality will have a solid line?
a)
It has just an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
16.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
17.
a)
y ≤ 2x - 4
b)
y ≥ 2x - 4
c)
y < 2x - 4
d)
y > 2x - 4
18.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
19.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
20.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

21.
Find the average rate of change over the given interval. 
a)
4
b)
7
c)
7/3
d)
3/7
22.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
23.

A rocket is 1.5 miles above the Earth in 20 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

a)

0.065 mps

b)

0.361 mps

c)

3.892 mps

d)

4.145 mps

24.
What is the average rate of change from x=0 to x=1
a)
-3
b)
3
c)
0
d)
2
25.

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

a)

the first hour to the second hour

b)

the second hour to the fourth hour

c)

the sixth hour to the eighth hour

d)

the eighth hour to the tenth hour

26.

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

a)

2/3 in.

b)

2 in.

c)

3 in.

d)

6 in.

27.
f(x) = 2x2 + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].
a)
2
b)
1/2
c)
-2
d)
-1/2
28.

Which of the following graphs has the largest average rate of change from -1 to 2?

a)
b)
c)
d)
29.
What is the formula for  ARC?
a)
y2-y1 / x2-x1
b)
x2-x1 / y2-y1
30.
Average Rate of Change is also known as...
a)
y-intercept
b)
x-intercept
c)
linear
d)
slope
31.
At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
32.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
33.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

34.
What is the average rate of change of [1, 5]?
a)
-0.65
b)
-0.75
c)
3.75
d)
4
35.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
36.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
37.
What was the average rate of change in the population from 1900 to 1990?
a)
175 million people/year
b)
1.94 million people/year
c)
2.13 million people/year
d)
-1 million people/year
38.

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

a)

the first hour to the second hour

b)

the second hour to the fourth hour

c)

the sixth hour to the eighth hour

d)

the eighth hour to the tenth hour

39.

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

a)

2/3 in.

b)

2 in.

c)

3 in.

d)

6 in.

40.
Who has the same rate of change?
a)
Dennis and Kameron have the same rate of change.
b)
Myriah and Kameron have the same rate of change.
c)
Dennis and Myriah have the same rate of change.
d)
They ALL have the same rate of change
41.

Which function has the greatest rate of change from [ 3, 5]?

f(x)=2xf\left(x\right)=2^x  

g(x)=5x−1g\left(x\right)=5x-1  

a)

f(x)

b)

g(x)

42.

Which type of function has a CONSTANT Rate of Change?

a)

Linear

b)

Exponential

c)

Quadratic

d)

none of these

43.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
44.
Is the graph pictured a function?
a)
Yes
b)
No
45.
.
a)
Function
b)
Not a Function
46.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
47.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
48.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
49.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
50.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
51.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
52.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
53.
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:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
54.
a)
Function
b)
Not a Function
55.
Evaluate f(-5) if f(x) = -2x - 12
a)
-22
b)
-2
c)
-19
d)
-5
56.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
57.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
58.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
59.
given g(x)= 5x+7 find f(10)
a)
120
b)
66
c)
57
60.
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:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
61.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
62.
A relation where every input in matches with exactly one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
63.
f(x)=4x-22 solve for f(10)
a)
62
b)
18
c)
100
64.
a)
Function
b)
Not a Function
65.

What is the solution to this system of equations? (Use the graph to find your answer).

4 lines
66.

Solve the equation for x.


5x + 2 = 17

4 lines
67.

Solve the equation for x.


2(x - 8) - 3x = -14

4 lines
68.

Solve the system of equations by substitution.


x = -5

y + 2x = -6

4 lines
69.

Solve the system of equations by substitution.


1.5x + y = 11

y - x = 1

4 lines
70.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
71.
Which function is quadratic?
a)
f(x)
b)
h(x)
c)
g(x)
72.
What is the value of f(2)?
a)
2
b)
0
c)
1
d)
-3
73.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
74.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
75.
Which function has the greatest y-intercept?
a)
f(x)
b)
h(x)
c)
g(x)
76.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
77.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
78.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
79.
Is the equation linear, exponential, or quadratic?
y = 2x+ 4
a)
Linear
b)
Exponential
c)
Quadratic
d)
None of the above
80.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
81.

Which statement below is TRUE regarding the two functions?

a)

Both functions are linear

b)

Both functions are increasing

c)

Both functions have a y-intercept of 1

d)

Both functions are exponential growth

82.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
83.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

84.

Evaluate f(0)

a)

0

b)

19

c)

9

d)

-19

85.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4

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