WorksheetsUnit 1 Recap: Math 3
Total questions: 54
Worksheet time: 3hrs 34mins
Name
Class
Date
1.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
2.
Domain?
a)
(-∞, ∞)
b)
(0, ∞)
c)
(-∞, 0)
d)
[0, ∞)
3.
a)
Function
b)
Not a Function
4.
a)
Function
b)
Not a Function
5.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
6.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
7.
Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
8.
What is the range?
a)
[-7,6]
b)
(-7,6)
c)
(-8, 2)
d)
[-8,2]
9.
Write the following in interval notation
x > 6 and x ≤ 10
x > 6 and x ≤ 10
a)
(-∞, 6) and (10, ∞)
b)
[6, 10)
c)
(-∞, 6] and [10, ∞)
d)
(6, 10]
10.
Write the following in interval notation
x ≥ 100
x ≥ 100
a)
(0, 100] (Real quick)
b)
(∞, 100]
c)
[100, ∞)
d)
(∞, 100)
11.
What is the DOMAIN?
a)
(-∞, ∞)
b)
(-2, ∞)
c)
[-2, ∞)
d)
(-∞, 0) U (0, ∞)
12.
Find the domain of the relation
a)
(-5, 2)
b)
[-5, 2 ]
c)
[-3, 3]
d)
(-3, 3)
13.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
14.
What is the equation of the line?
a)
y=3x
b)
y=3
c)
x=3
d)
y=-3
15.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
16.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
17.
Which situation can be represented by
y = 17x - 8?
y = 17x - 8?
a)
The number of seeds, y, needed to feed 8 hamsters 17 seeds each.
b)
The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.
c)
The cost, y, of buying 17 movie tickets that sell for $8 each.
d)
The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.
18.
find f(3)
f(x) = x2 + 4x - 8
f(x) = x2 + 4x - 8
a)
10
b)
13
c)
14
d)
29
19.
find f(-2)
f(x) = x2 - 3x + 2
f(x) = x2 - 3x + 2
a)
0
b)
4
c)
-8
d)
12
20.
f(x)=-x+3
f(7)=?
f(7)=?
a)
-4
b)
-6
c)
3
d)
13
21.
Find x if f(x) = 0.
a)
5
b)
-1
c)
-5
d)
-1 and -5
22.
Evaluate f(-5)
a)
0
b)
2
c)
5
d)
-4
23.
Evaluate f(2)
a)
5
b)
-5
c)
-3
d)
0
24.
The graph describes total elevation change on a run Ms. Egan went on this weekend. How much elevation did Ms. Egan gain from 20 minutes into her run to 40 minutes into her run?
a)
35
b)
15
c)
50
d)
10
25.
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
26.
|10+4x|<14
a)
1<x<6
b)
x>1 or x<-6
c)
x<6 or x>6
d)
-6<x<1
27.
|n|-3>2
a)
n>1 or n<-1
b)
-1<n<1
c)
n<1 or n>-1
d)
n>5 or n<-5
28.
2-5|5m-5|=-73
a)
No Solution
b)
m=2 and m=-4
c)
m=4 and m=-2
d)
m=5 and m=-5
29.
What is the equation of the function shown?
a)
f(x)=|x+3|-4
b)
f(x)=|x-3|-4
c)
f(x)=-|x+3|-4
d)
f(x)=x+3
30.
Evaluate f(4)
a)
-2
b)
2
c)
0
d)
8
31.
Evaluate f(3)
a)
1
b)
9
c)
2
d)
6
32.
State the intervals where f(x)>0
a)
(-∞, ∞)
b)
(-2,3)
c)
(-6, ∞)
d)
(-∞, -2) U (3, ∞)
33.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x I + 2
c)
f(x) = I x I - 2
d)
f(x) = I x - 2 I
34.
What is the vertex of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
35.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
36.
Using the pictured graph, what is f(1)?
a)
-3
b)
-1
c)
1
d)
3
37.
What is the first step?
a)
Get absolute value alone by subtracting 5 from both sides
b)
Get absolute value alone by dividing by 5 on both sides
c)
Split into two equations
38.
What is the first step?
a)
Drop the absolute value bars by splitting into two equations
b)
Add 2 to both sides
39.
What is the first step?
a)
Get the absolute value alone by dividing both sides by 5
b)
Drop the absolute value bars and add 7 and 5 together
c)
Get the absolute value alone by subtracting 5 from both sides
40.
Which compound inequality represents the graph?
a)
m < -1 OR m > 2
b)
-1 < m < 2
c)
m > -1 OR m < 2
41.
Solve the Absolute Value Equation
a)
v = -15 and v = -1
b)
v = -1
c)
v = -8
d)
v = -8 and v = -5
42.
Solve by elimination:
7x+y=-9
-3x-y=5
7x+y=-9
-3x-y=5
a)
No solution
b)
(1,8)
c)
(-2,-3)
d)
(-1,-2)
43.
What is the solution(s) of this system?
y = 2x - 2
y = x2 - x - 2
y = 2x - 2
y = x2 - x - 2
a)
{(1,0),(2,0)}
b)
{(0,-2),(3,4)}
c)
{(-1,-4),(2,2)}
d)
{(-1,0)(2,0)}
44.
The next two terms of the sequence 4,7,10,13 are
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
45.
Describe the equation
y = 100 * 2x
y = 100 * 2x
a)
It starts with 100 and is tripling
b)
It starts with 100 and is doubling
c)
It starts with 2 and is being multiplied by 100 each time
d)
It starts with 100 and is adding 2 each time
46.
In the equation
y = 10 * 3x
What is the initial amount?
y = 10 * 3x
What is the initial amount?
a)
10
b)
3
c)
x
d)
y
47.
Is this exponential growth or decay?
a)
Growth, because of 7
b)
Decay, because of 1.2
c)
Growth because of 1.2
d)
Decay because of 7
48.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
49.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
50.
Is the graph linear, exponential, or quadratic?
a)
Linear
b)
Exponential
c)
Quadratic
d)
none of these
51.
These functions are V-shaped.
a)
Exponential
b)
Linear Absolute Value
c)
Quadratic
d)
Linear
52.
Identify the function shown.
a)
absolute value function
b)
exponential function
c)
linear function
d)
quadratic function
53.
Identify the function shown.
a)
absolute value function
b)
exponential function
c)
linear function
d)
quadratic function
54.
Identify the function shown: y = 8x-3
a)
absolute function
b)
exponential function
c)
linear function
d)
quadratic function
100 %
