Explanations
To solve 7 x 9 = __, Jill writes 7 x 10 - 7 = 63. Explain the strategy Jill is using.
Jill is thinking about the strategy of finding the closest 10 and then subtracting to find the nines time table because it is an easy strategy to find a multiple of nine.
6 x a = 48
a = 8
( 7 x 3 ) + ( 20 - 10) =
31
Mrs. Albert pours 36 liters of water equally into 9 containers. How much water is in each container?
There are 4 liters of water in each container
Sarah has 320 stickers. She buys 157 more stickers. Then, she gives 75 stickers to her friend. How many stickers does Sarah have now?
402 stickers
Susan solves 56 ⁒ 7 = ___. She then checks her work by solving 7 x 8. Explain her strategy.
Susan is checking her division problem by solving the multiplication equation that goes with it.
56 ⁒ 7 = x
x = 8
( 5 x 6 ) + ( 7 x 7 )=
79
Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After the bbq, 35 hot dogs are left over. How many hot dogs were eaten?
19 hot dogs were eaten
A farmer has 455 apples. He sells 205 apples at the market. Later, he picks 110 more apples from his trees. How many apples does the farmer have now?
360 apples
Joe is solving (4 x 9) + (4 x 9) = ___. He mentally checks his answer using 8 x 9. Explain his strategy.
Joe is checking his work by combining the parentheses and solving in another way.
81 ⁒ c = 9
c = 9
72 ⁒ (2 x 4) =
9
George bought 20 boxes of popsicles. Each box had 8 popsicles inside. How many popsicles did George buy in all?
George bought 160 popsicles in all
Luke earned 6 dollars for every lawn he mowed. If he mowed 3 lawns and he already had 4 dollars saved up, how much money does he have total?
$22
A grocery store sets up 5 boxes that each contain 11 bags of candy in a sale display. Write an equation using a letter to represent the unknown, solve, and then explain how you know your answer is reasonable.
55 bags of candy + an explanation.
8 x w = 56
w = 7
( 48 - 12 ) x 2
72
Gina bought 400 gatorades. She shared them equally with 20 friends. How many gatorades did each friend get?
Each friend received 20 gatorades.
There are 45 bags of dog food. 3 are given away. The rest are split up even between 6 dogs. How many packs of food does each dog get?
7 packs
Mr. Kevin buys 3 boxes of ornaments. Each box contains 2 bundles of 5 ornaments. Mr. Paul buys 6 boxes or ornaments that each contains 5 ornaments. Explain how Mr. Kevin and Mr. Paul bought the same number of ornaments.
Because 3 x ( 2 x 5) is the same as 6 x 5, both Mr. Kevin and Mr. Paul purchased 30 ornaments.
80 x e = 480
e = 6
( 81 ⁒ 9) x 4 =
36
There are 80 pencils in a box set. The principal buys 90 sets for the school. How many pencils does school get have in total?
7200 pencils
The farming company had 500 apples. 10 had to be thrown away. The rest were equally distributed between 7 trucks. How many apples were in each truck?
70 apples