Ways We Could Get Alan in Trouble
What is used in a mathematical sentence to show that two expressions are equal?
equals sign
Identify the solution of each equation from the list given: 9 + w = 17; 7, 8, 9
8
Solve the following equation: 7 + a = 9
2
7.8
In your own words define the following term: solve.
To replace a variable in an equation with a value that makes it true.
The ____________ of 2x = 10 is 5.
solution
Identify the solution of each equation from the list given: 8 รท c = 8; 0, 1, 2
1
Solve the following equation: 9 = 2 + x
7
Solve the following equation: a - 2.1 = 5.8
7.9
Find the following error: Alexa is solving the equation x + 12 = 31. Find her mistake and correct it.
She should have subtracted 12 from each side; 19
What is the property that states if you divide both sides of an equation by the same nonzero number, the two sides remain equal?
Division Property of Equality
Chen and Alan together have $756.80. If Chen has $489.50, how much does Alan have? Write and solve and addition equation to find how much money belongs to Alan.
489.50 + p = 756.80; $267.30
Richard spent his birthday money on a video game that cost $24, a controller for $13, and a memory card for $16. The total tax was $3. Write and solve a subtraction equation to find how much money Richard gave the cashier if he received $4 in change.
x - 56 = 4; $60
Which of the following is true concerning x - 5 = 13?
a) To find the value of x, add 5 to each side.
b) To find the value of x, subtract 5 from each side.
c) To find the value of x, add 13 to each side.
d) To find the value of x, subtract 13 from each side.
a) To find the value of x, add 5 to each side.
Multiplication and division are what kind of operations?
inverse operations
Solve the following equation mentally: 4x = 32
8
It takes 43 facial muscles to frown. This is 26 more muscles than it takes to smile. Write and solve an equation to find the number of muscles it takes to smile.
x + 26 = 43; 17 muscles
Ms. Moret's cat weighs 10.4 pounds. This is 24.4 pounds less than the weight of her dog. Write and solve a subtraction equation to find the weight of Ms. Moret's dog.
d - 24.4 = 10.4; 34.8 lb
In your own words, define the following term: Subtraction Property of Equality.
You can subtract the same amount from each side of an equation and the equation remains true.
What property states that you can add the same number to both sides of an equation, and both sides will remain equal.
Addition Property of Equality
Chelsea and her sister collect stickers. Chelsea has 220 stickers in her sticker collection. Her sister has 55 stickers in her collection. Chelsea has how many times as many stickers as her sister?
55x = 220; 4
Itzel, Adiba, and Chelsea all together have 386 trading cards. If Itzel and Adiba have 221 trading cards, how many does Chelsea have?
221 + c = 386; 165 trading cards
At a movie, Naomi bought a medium popcorn for $4, a small drink for $3, and a box of fruit snacks for $5. Write and solve a subtraction equation to find how much money Naomi gave the cashier if she received $3 in change.
x - 12 = 3; $15
Identify the equation that does not belong with the other three:
a) 6 + x = 9
b) 15 = x + 12
c) x + 9 = 11
d) 7 + x = 10
c) x + 9 = 11