Solving Equations
X + 8 = 22
What is X = 14
Check
14 + 8 = 22
A letter that represents an unknown quantity is called this.
What is a variable?
Allie and Parker participated in a pie-eating contest. They ate 23 pies in all. If Allie ate 9 pies, how many pies did Parker eat?
What is X = 14 pies
X + 9 = 23
Ms. Misener buys $17 worth of candy canes priced at $1 each, from the grocery store. How much did she pay the cashier, if she received $13 in change?
Let c equal the amount of money Ms. Misener gave the cashier
What is c = 30
c-17 =13
67 + x = 123
56
r - 8 = 18
What is X = 26
Check
26 - 8 = 18
Any mathematical statement which consists of numbers, variables and an arithmetic operation between them. Example: 4m+6
Jonah has 25 bumblebees and Marley has a few more than Jonah. If they have 56 bumblebees in all, how many bumblebees does Marley have?
Let b = number of Marley's Bumblebees
What is b = 31
b+25 = 56
Max was gifted a pack of felts. He gave 23 crayons to his friend Tommy and was left with 14 felts. How many felts did the pack contain?
Let X equal the original number of felts in the pack
What is X = 37
X - 23 = 14
Jim's movie rental store has 1357 movies in stock. Unfortunately, Jim didn't pay his rent on time so the landlord broke in and stole a lot of Jim's movies! When Jim came back, he only had 148 movies left. How many movies did the landlord steal?
x = 1209
1357 - x = 148
6m = 42
What is m = 7
Check
6 x 7 = 42
40 + 3x= 124 is an example of this.
What is an (algebraic) equation?
A bookstore has 120 books. If they arrange them into 6 shelves equally, how many books are on each shelf?
What is b = 20
120/6 = 20
Alexis Burke and Alexis Barrett are duelling in a potions match at Hogwarts with their friends. They are trying to see who is the most powerful Alexis. An hour later, 213 of their friends must go to a quidditch match and leave. 321 of them continue to duel. How many witches and wizards were duelling initially?
What is X = 534
X - 213 = 321
7x + 8 = 64
8
63/c = 9
What is c = 7
Check
9x7=63
The value of this does not change in a math equation. For example, the 8 in this equation: 4f + 8 = 22
What is a constant?
Miah bought 6 packs of pencils. Each pack contains 8 pencils. How many pencils did she buy in total?
What is p = 48
Check
6 x 8 = 48
Sam's box contains 60 chocolates. If the chocolates are shared equally among 12 classmates, how many chocolates will each classmate get?
What is X = 5
60/12 = x
Mr Dyment has 12 angry alligators on one side of a balanced scale. On the other side of the scale are 4 crates with a angry alligators in each. How many alligators are in each crate? Hurry before Mr Dyment gets chomped!
What is 3 angry alligators per crate?
8n + 9 = 65
n = 7
Check
8x7 + 9 = 65
A constant term that is in front of a variable in a mathematical expression.
What is a numerical coefficient?
Claire saved $80. She spent a quarter of it on a dress. How much money did she spend on the dress?
m= $20
80/4 = 20
Uncle Fred gifted 313 books to his niece from his Sci-Fi collection. If he is left with 153 Sci-Fi books, how many Sci-Fi books did Fred's collection have?
What is X = 466
X - 313 = 153
This is Mr Dyment's favourite snack
Popcorn!