Literal Equations
Solving Equations
One-Step Absolute Value Equations
Multi-Step Absolute Value
Word Problems
100
Solve for L
A = LWH
L = A/WH
100
3y + 11 = -16
y = -9
100
Solve
|x| = 3
x = 3, x = -3
100
|-2x+6| = 6
0, 6
100
Three consecutive numbers have a sum of 339. What are the numbers?
112, 113, 114
200
Solve for w:
5w + 12c = 9
w = (9 - 12c) / 5
200
-4(2z + 6) - 12 = 4
z = -5
200
|x| = -4
NO SOLUTION
Absolute value will never evaluate to be a negative number.
200
|5x| + 5 = 45
8, -8
200
A rectangle has a width that is one centimeter more than one-third the length of the rectangle. If the perimeter of the rectangle is 26 centimeters, what are the length and width of the rectangle?
Length = 9cm
Width = 4cm
300
Solve for a:
g = b/(ac)
a = b/(gc)
300
5n + 7 = 43 - n
n = 6
300
|x+4| = 8
4, -12
300
3 |−8x| + 8 = 80
-3, 3
300
An art supply store sells natural and acrylic brushes. Natural brushes cost $7 per brush, and acrylic brushes cost $4 per brush. The store sells 37 brushes, which cost a total of $184. How many natural brushes and how many acrylic brushes does the store sell?
Natural Brushes: 12
Acrylic Brushes: 25
400
Solve for j:
j = 3g/(hk)
400
3/2(x-2)-5=19
x = 18
400
|−3r| = 9
3, -3
400
3 |3 − 5r| − 3 = 18
-4/5, 2
400
A rectangle has a length that is ten centimeters more than three-fourths the width of the rectangle. If the perimeter of the rectangle is 48 centimeters, what are the length and width of the rectangle?
Length = 16cm
Width = 8cm
500
Solve for e
(Multiply by 3 first, then divide by d, then add c)
500
Solve for x
*Must use clearing fractions method
x = 15/21, simplified to 5/7
500
|x/5| = 2
10, -10
500
6 |1 − 5x| − 9 = 57
-2, 12/5
500
Five consecutive odd numbers have a sum of 505. What are the numbers?
97, 99, 101, 103, 105,