Solving Equations
x + 7 = 10
x = 3
Beth won 45 lollipops playing the bean bag toss. After giving some away she only has 28 remaining. How many did she give away?
X + 28 = 45
X = 17
Janet won the jelly bean hunt on Easter for which she was gifted a pack of candies. She distributed 23 candies among her friends and took the remaining 27 candies home. How many candies did the pack contain?
x – 23 = 27 ; 50 candies
If Joe earns an annual salary of $72000, calculate his monthly income.
12x = 72000 ; $6000
Apples picked from an orchard are put into 5 sacks and are loaded into a small truck. If each sack contains 76 apples, how many apples are there in all?
x/5=76; 380
Which Property should be used to solve this equation?
4+x =13
Subtraction Property of Equality
x - 9 = 18
x = 27
Asanji is cooking a cake. The recipe calls for 6 cups of sugar. He has already put in 5 cups. How many more cups does he need to put in?
X + 5 = 6
X = 1
James purchases tickets for the New York Knicks. He gives seven tickets to his colleagues. If James is left with 8 tickets, how many tickets did he purchase?
x – 7 = 8 ; 15 tickets
Betty is a swimming instructor. She is in charge of 5 batches of children. If there are 35 children in all, how many children does Betty instruct per batch?
5x = 35 ; 7 children
A group of students from Bethany’s are taken for a counseling session. They are seated across eight classrooms. If each classroom has 33 students, how many students attended the session in all?
x/8=33; 264
Which property should be used to solve this equation? x / 9 = 3
Multiplication Property of Equality
3x = 36
x = 12
Clara visits an apparel store to purchase 12 t-shirts. If she has chosen five t-shirts, how many more does she have to choose?
x + 5 = 12 ; 7 t-shirts
Betty bakes a Texas sheet cake. She cuts the cake evenly and packs eight pieces for her mother and is left with seven. How many pieces of the cake did Betty cut in all?
x – 8 = 7 ; 15 pieces
Andrew paid $72 as bike rental charges. If he is billed at $8 an hour, how many hours has he used the bike for?
8x = 72 ; 9 hours
If Bob has 35 nickels in his piggy bank, how many cents does he have in all?
x/5=35; 175
Which property should be used to solve this equation? x - 11 = 5
Addition Property of Equality
x/-10 = 10
x = -100
Michael has 75 friends listed on his social media account. He accepts a few more friend requests and ends up with 89 friends on the list. How many new friends does Michael have on his list?
75 + x = 89 ; 14 friends
Uncle Fred gifted nine books to his niece from his Sci-Fi collection. If he is left with 17 Sci-Fi books, how many Sci-Fi books did Fred's collection have?
x – 9 = 17 ; 26 books
Susan, Lillian, John and Polly participated in an Easter egg hunt. At the end of the hunt, 96 eggs were shared equally among them. How many Easter eggs did each of them receive?
4x = 96 ; 24 eggs
Kelly buys four cardigans of the same price from an apparel store. How much will she be billed, if each cardigan costs $79?
x/4=79;316
Which property should be used to solve this equation? x - 4 = 6
Addition Property of Equality
x/2= 20
x=40
A lecture was attended by 95 people in the university auditorium. Eleven of them were students who had volunteered to manage the event and the rest were senior professors. How many senior professors attended the lecture?
x + 11 = 95 ; 84 senior professors
Smith and his friends are gaming online on a popular website. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online initially?
x – 6 = 5 ; 11 persons
Sam is seven times as old as Tim. If Sam is 42 years old, how old is Tim?
7x = 42 ; 6 years
The San Jose team won a baseball tournament and the prize money was shared among the nine players. If each player received $500, what was the total prize money?
x/9=500; 4500
Which property should be used to solve this equation? 9x = 72. And what is x?
Division Property of Equality; x = 8