Explanations
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Word Problems
100

Give the the correct Order of Operations 

Parentheses/Brackets, Exponents, Multiplication OR Division, Addition OR Subtraction

100

9 - 3 x 2=12

Correct answer is 3. Do x then -, not - then x.

100

3 + 4 x 5 

23

100

14 - 2 x 7+√16

4

100

Alyssa buys 3 bags of chips for $2 each and a drink for $4. She also has a $5 coupon. What is her total cost?

(3 × 2) + 4 – 5 = $ 5

200

Why is it Important to know BEDMAS as a mathematician?  

So everyone can solve every problem the same (correct) way.

200

52 + 1=11

52 = 25, not 10. Correct Answer is 26.

200

7 + (2 x 4) - 1 

14

200

49 ÷ (3+4) + 52

32

200

For a birthday party, Jonah buys 4 packs of balloons, each pack has 5 balloons. He pops 6 balloons while decorating. How many balloons does he have left?

(4 × 5) – 6 = 14 balloons

300
When we see 5(4), what does this really mean? 

5 multiplied by 4

300

32 - 6 = 0

3 2 = 9, not 6. Correct answer is 3

300

56 ÷ (4+4) + 32

16

300

5 + 14 ÷ 2 × 5- √25

35

300

A family orders 2 appetizers for $8 each, 3 meals for $12 each, and pays a tax of $6. What is the total bill?

(2 × 8) + (3 × 12) + 6 = $58

400

Tell what 53 really means.

It means 5 x 5 x 5, which equals 125

400

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. Correct answer is 10

400

20 – (5+3) x 2 + 42

20

400

(4-1)2 + (5+ 1)2

45

400

Tickets cost $15, and t-shirts cost $10 each. If 8 students each buy a ticket and half of them also buy a t-shirt, how much money is raised?

(8 × 15) + (4 × 10) = $ 160

500

The problem was 20 - 5 x 2 + 3. My answer was 33. What did I do wrong?

I went from left to right without using the correct order of operations.

500

103 = 30

10 3 = 10 x 10 x10, which is 1000, not 30.

500

(5 x 4) – 8 ÷ 22 + 9

27

500

12 + 22 x 32 - 42

21

500

You score 10 points per puzzle, but lose 8 points for each incorrect puzzle. If you solve 7 puzzles and make 2 mistakes, then double your score in the bonus round, what’s your final score?

((7 × 10) – (2 × 8)) × 2 = 108