Is this equation balanced?
You must prove your answer.
Solve for the Variable
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Word Problems
Write and solve equations
100

37 + 12 = 48

.

What is no?
Proof: 37 + 12 = 49, not 48

100

7 + n = 17

✅ What is n = 10?

100

x is greater than 60

✅ What is x > 60?

100

A closed circle at 40 with an arrow going left

✅ What is x ≤ 40?

100

Zakk earned $135 shovelling snow. He now has $215 total.
How much money did he have before?


✅ Algebraic equation:
135 + b = 215

✅ Answer:
What is b = 80?

200

70 ÷ 7 = 10

✅ What is true?

200

29 + □ = 36

✅ What is 7?

200

x is less than or equal to 16

✅ What is x ≤ 16?

200

An open circle at 60 with an arrow going right

✅ What is x > 60?

200

There are 35 animals total on a farm. 12 are cows.
How many horses are there?

✅ Algebraic equation:
12 + h = 35

✅ Answer:
What is h = 23?

300

7 × 4 = 21

✅ What is false?

7 X 4 = 28 

300

2n = 18

✅ What is n = 9?

300

x < 12

✅ What is “x is less than 12”?

300

A closed circle at 30 with an arrow going right

✅ What is x ≥ 30?

300

Mrs. Johnson baked 54 cookies. Each child got 6 cookies.
How many children were at the party?


✅ Algebraic equation:
6c = 54

✅ Answer:
What is c = 9?

400

49 − 5 = 45


What is false?
Proof: 49 − 5 = 44, so the equation is not balanced.

400

8n = 24

✅ What is n = 3?

400

x is greater than or equal to 40

✅ What is x ≥ 40?

400

An open circle at 90 with an arrow going right

✅ What is x > 90?

400

Ethan scored 49 goals one year and 53 goals the next year.
How many goals must Matthew score to match Ethan’s total?


✅ Algebraic equation:
m = 49 + 53

✅ Answer:
What is m = 102?

500

67 − 8 = 59


What is true?
Proof: 67 − 8 = 59, so both sides are equal.

500

30 ÷ n = 10

✅ What is n = 3?

500

x is less than 80
=

✅ What is x < 80?

500

A closed circle at 50 with an arrow left

✅ What is x ≤ 50?

500

James has 42 hockey cards. Ian has 58 hockey cards.
How many more cards does James need to have the same amount as Ian?


✅ Algebraic equation:
42 + x = 58

✅ Answer:
What is x = 16?

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