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WorksheetsAbsolute Value Equations, Multivariable and Word Problems
Total questions: 18
Worksheet time: 5hrs 30mins
Name
Class
Date
1.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
2.
Solve for x
l 5x l = 40
l 5x l = 40
a)
x = 8 and x =-8
b)
x = 35 and x = -35
c)
Only x = 8
d)
No Solution
3.
Solve for x
l 2x−1 l = 9
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
4.
Solve for x
3 l 4w−1 l −5 = 10
3 l 4w−1 l −5 = 10
a)
x = 1.5 and x =-1
b)
x = -1.5 and x = 1
c)
x =1 and x = -1
d)
No Solution
5.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
6.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,1}
c)
{-5}
d)
No Solution
7.
A-B = C
(solve for A)
(solve for A)
a)
A = C - B
b)
A = C + B
c)
A - C = B
d)
B = A - C
8.
IR = V
(solve for R)
(solve for R)
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
9.
ax + c = R
(solve for x)
(solve for x)
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a
10.
pV = nRT
solve for R
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
11.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
12.
a)
17m
b)
13m
c)
-13m
d)
-17m
13.
Solve for h
V = 1/3Bh
V = 1/3Bh
a)
93B)/V = h
b)
1/3BV = h
c)
(3V)/B = h
d)
1/3 + BV = h
14.
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?
a)
15x + 2.5 = 10x + 3
b)
15 - 2.5x = 10 - 3x
c)
15 + 2.5x = 10 + 3x
d)
15 - 10 = 2.5x + 3x
15.
At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?
a)
150x + 24 = 180 + 20x
b)
150 + 24x = 180 + 20x
c)
180 - 150 = 24 x + 20x
d)
150 - 24x = 180 - 20x
16.
Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B
a)
50
b)
20
c)
15
d)
25
17.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
18.
I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. If I were to rent 6 videos which club would be the better deal? How much would I spend?
a)
A; $25
b)
A; $30
c)
B; $25
d)
B; $27
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