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Algebra I Winter Final Review

Total questions: 32

Worksheet time: 3hrs 36mins

Name
Class
Date
1.
Distribute:
a(b+c-d)
a)
ab-cd
b)
ab+ac-ad
c)
ab+ac+ad
d)
-abcd
2.
Combine like terms:
9x+3-2x+1
a)
7x+4
b)
11x+4
c)
There are no like terms. 
d)
11x+1
3.
Solve for x:
x+10=22
a)
x=32
b)
x=2.2
c)
x=-12
d)
x=12
4.
Solve for x:
5x+4=-2x+32
a)
x=3
b)
x=-4
c)
x=4
d)
x=-3
5.
Solve for r2:
A=4πr2
a)
r2=A/4π
b)
r2=4π⋅A
c)
r2=4π/A
d)
r2=A-4π
6.
Simplify the expression:
3(2-x)-4(3x-2)
a)
-9x+14
b)
-15x+14
c)
-15x-2
d)
-9x-2
7.
Solve for n:
PV=nRT
a)
n=PV-RT
b)
n=RT/PV
c)
n=PVRT
d)
n=PV/RT
8.
Solve for x:
3(x+2)=7(8-x)
a)
x=12.5
b)
x=6.2
c)
x=5
d)
x=3
9.
How many solutions exist for the following equation?
2(3x-7)-7=3(2x-7)
a)
Zero
b)
One
c)
Infinite
d)
Two
10.
Solve the inequality:
3x-5≤22
a)
x≥9
b)
x≤9
c)
x≤17/3
d)
x≥17/3
11.
Solve the inequality:
-2(x+1)≥6
a)
x≥4
b)
x≥-4
c)
x≤-4
d)
x≤4
12.
Is this relation also a function?
{(1, 2), (2, 4), (3, 4), (4, 5)}
a)
Yes
b)
No
13.
Given
f(x) = 4x+1
Find f(3).
a)
3
b)
12
c)
5
d)
13
14.
Your time spent studying is related to your test score. Which is the independent variable?
a)
Time spent studying. 
b)
Test score. 
15.
Your time spent studying is related to your test score. Which is the dependent variable?
a)
Time spent studying. 
b)
Test score. 
16.
Write
-4x+2y=16
in slope-intercept form. 
a)
y=2x+8
b)
y=-2x+8
c)
y=2x+16
d)
y=-4x+8
17.
Write
6x+2y=-8
in slope-intercept form. 
a)
y=3x+4
b)
y=-3x-4
c)
y=3x-4
d)
y=6x-8
18.
Who is this?
a)
Santa Claus
b)
Godzilla
c)
Master Chief
d)
Gumby
19.
What is the slope of this line?
y=4x+7
a)
4
b)
7
c)
4/7
d)
-1/4
20.
What is the y-intercept of this line?
y=9x-3
a)
(0,9)
b)
(-3,0)
c)
(0,0)
d)
(0,-3)
21.
What is the slope of the line connecting (3, -1) and (5, 5)?
a)
-3
b)
6
c)
3
d)
-6
22.
What is the equation of the line perpendicular to 
y=-1/2x+6 that passes through the point (2, 5)?
a)
y=2x+5
b)
y=2x+1
c)
y=-1/2x+5
d)
y=-1/2x+1
23.
Given a function f(x), f(x)+3 is shifted
a)
3 units up
b)
3 units down
c)
3 units left
d)
3 units right
24.
Given a function f(x), f(x+3) is shifted
a)
3 units up
b)
3 units down
c)
3 units left
d)
3 units right
25.
Write the equation of the line parallel to y=3x+1 that passes through (-1, 0). 
a)
y=-1/3x+3
b)
y=-1/3x-1
c)
y=3x
d)
y=3x+3
26.
What is the slope of the line
4x-2y=14?
a)
m=2
b)
m=4
c)
m=-2
d)
m=-7
27.
Simplify. 
√125
a)
5
b)
5√25
c)
5√5
d)
5√125
28.
Simplify. 
a²⋅a³=?
a)
a⁵
b)
a⁶
c)
a¹
d)
a²
29.
Domain is _. Range is _. 
a)
x; y
b)
y; x
30.
√16=?
a)
4
b)
5
c)
4√4
d)
16
31.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
32.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined