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WorksheetsUnit 2 Review
Total questions: 40
Worksheet time: 2hrs 54mins
Name
Class
Date
1.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
2.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
3.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
4.
State the domain of the given relation:
a)
{2, 3, 7}
b)
{1, 4}
c)
{1, 2, 3, 4, 7}
5.
a)
(3, ∞)
b)
[3, ∞)
c)
(-∞, ∞)
d)
[4, ∞)
6.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
7.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
8.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
9.
Simplify
-3(2x - 5) + 4x
-3(2x - 5) + 4x
a)
-2x - 15
b)
2x -15
c)
2x + 15
d)
-2x + 15
10.
a)
Function
b)
Not a Function
11.
All of the x-values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
12.
I throw a ball 10 feet in the air. If the domain is the number of seconds, what is a possible range for the function?
a)
All real numbers between 0 and 10
b)
Integers between 0 and 10
c)
Rational Numbers between 0 and 10
d)
Whole Numbers between 0 and 10
13.
Which of the following best describes a reasonable range for this situation?
a)
All real numbers greater than or equal to 0 and less than or equal to 400
b)
All real numbers greater than or equal to 0 and less than or equal to 25
c)
All real numbers less than or equal to 25
d)
All real numbers greater than or equal to 400
14.
Which graphs have a range of y≤3
a)
I and II
b)
I and III
c)
II and III
d)
I , II and III
15.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
16.
Given f(x) =
2x2 + 5x - 17, find f(-1).
2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
17.
What is the slope of the equation?
y = -2x - 1
y = -2x - 1
a)
2
b)
-2
c)
-1
d)
1
18.
What is the y-intercept?
y = 6x - 4
y = 6x - 4
a)
6/1
b)
1/6
c)
-4
d)
4
19.
Find the slope.
Hint: rise/run
Hint: rise/run
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
20.
y -intercept is where the line ______________.
a)
begins
b)
crosses the x-axis
c)
crosses the y-axis
d)
crosses each other
21.
When you graph a line using slope-intercept form, you plot the ___________ first and then use the ___________.
a)
origin; slope
b)
slope; y-intercept
c)
y-intercept; x-intercept
d)
y-intercept; slope
22.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
23.
Solve using Elimination
4x+ 9y = 28
-4x -y = -28
4x+ 9y = 28
-4x -y = -28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
24.
What would be the best first step to solving the equation?
a)
add 6 to both sides
b)
subtract 6 from both sides
c)
multiply both sides by 3
d)
divide both sides by 3
25.
Where does a mistake first occur? What should have been done?
a)
Line 2 - You should subtract 4 from both sides.
b)
Line 5 - Calculation error
c)
Line 2 - You should divide by 3 first.
d)
Line 4 - You should divide by -3 on both sides.
26.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
27.
Clean fast charges $2 per window plus a $15 fee. See Out charges $3 per window plus a $5 fee. When will their costs be the same?
a)
2+15x=3+5x
b)
2x+15=3x+5
c)
2x-15=3x-15
d)
2-15x=3-5x
28.
Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.
a)
c + s = 6
14c + 17s = 99
14c + 17s = 99
b)
c + s = 99
14c + 17s = 6
14c + 17s = 6
c)
c + s = 6
17c + 14s = 99
17c + 14s = 99
d)
c + s = 99
17c + 14s = 6
17c + 14s = 6
29.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
30.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
31.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
32.
Does the system have one, none or infinite solutions? Use substitution.
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
33.
Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.
a)
For every homework assignment, it takes 5 more minutes to complete.
b)
For every homework assignment, it takes 2 more minutes to complete.
c)
It initially takes 5 minutes to get homework out and start working.
d)
It initially takes 2 minutes to get homework out and start working.
34.
What is the initial value?
a)
0
b)
1
c)
8
d)
10
35.
What does the point (2,8) represent in the graph?
a)
For every 8 girls there are two bracelets.
b)
For every 2 girls there are eight bracelets.
36.
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
37.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
38.
What is the y-intercept?
a)
(0,7)
b)
(0,0)
c)
(1,9)
d)
(2,11)
39.
Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
40.
What is the x and y intercept for the following equation ?
4x - 10y = 20
4x - 10y = 20
a)
x - int = 4
y-int = -10
y-int = -10
b)
x-int = 5
y-int = 2
y-int = 2
c)
x - int = 5
y int = -2
y int = -2
d)
x -int = 4
y -int = -10
y -int = -10
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