Solutions of Equations
Name the inverse operation you would use to solve each equation.
m - 14 = 37
Addition
t + 5 = 7
t=2
5g = 95
g=19
Olivia, who is 5 years younger than Bob, is 12. Write an equation to represent Bob’s age.
b+5 = 12
12-5 = b
12-b = 5
Write an inequality for the sentence below.
The amount of money raised, a, is less than $530
a < 350
Name the inverse operation you would use to solve the equation.
x + 12 = 21
Subtraction
b + 19 = 63
b=44
6p = 72
p=12
Martin bought some stamps. He gave away 42 of them and had 17 left. Write an equation to represent the number of stamps he bought.
s-42 = 17
42+17 = s
s-17 = 42
Write an inequality for the sentence below
The total cost, c, is greater than $75.
c > 75
Determine the solution to the equation from the given solution set.
x + 7 = 31 {22, 23, 24, 25}
24
v + 13 = 40
v=27
x/7 = 4
x=28
Susan added 11 coins to her coin collection. Her aunt also added some coins. Together, they added 19 coins. Write an equation that represents the number of coins her aunt contributed.
11+c = 19
19-11 = c
19-c = 11
Use the solution set to determine the solutions to the inequality.
b ≤ 13 {11, 12, 13, 14}
11, 12, 13
Determine the solution to the equation from the given solution set.
x + 12 = 21 {6, 7, 8, 9}
9
z – 42 = 7
z=49
y/12 = 5
y=60
George’s snake is three times longer than his pet dog. His dog is 14 inches long. Write an equation to represent the snake’s length
3x14 = s
s/3 = 14
s/14 = 3
Use the solution set to determine the solutions to the inequality.
y < 9 {7, 8, 9, 10}
7,8
Determine the solution to the equation from the given solution set.
4x + 13 = 105 {21, 22, 23, 24}
23
28 = x – 5
x=33
x/13 = 3
x=39
The PTA distributed 240 boxes of lolly pops for the school fundraiser. They came in identical boxes, and each box had 60 lolly pops. Write an equation to represent the number of lolly pops the PTA distributed.
240x60 = p
p/60 = 240
p/240 = 60
Use the solution set to determine the solutions to the inequality.
8x < 48 {5, 6, 7, 8}
5