True/False Equations

Grade 1 · algebra · 97 practice problems · read aloud

🔊 Listen to this explanation

True or False Equations: What Are They?

An equation is like a balance scale. Both sides need to be equal, or have the same value, to be true. If they are not equal, the equation is false. 🎯 We check these to make sure our math makes sense!

How to Solve: A Step-by-Step Guide

  1. Look at the whole equation. Find the equals sign (=).
  2. Find the value on the left side. Add or subtract the numbers.
  3. Find the value on the right side. Add or subtract those numbers.
  4. Compare! Are the two sides the same? If YES, it's True. If NO, it's False.

Let's Look at Some Examples

Example 1: Is 5 + 2 = 4 + 3 true or false?

Step 1: Left side: 5 + 2 = 7

Step 2: Right side: 4 + 3 = 7

Step 3: Compare: 7 = 7 ✅

Answer: This equation is TRUE!

Example 2: Is 8 - 1 = 3 + 2 true or false?

Step 1: Left side: 8 - 1 = 7

Step 2: Right side: 3 + 2 = 5

Step 3: Compare: 7 does NOT equal 5 ❌

Answer: This equation is FALSE.

⚠️ Common Mistakes to Avoid

  • Only looking at one side: Don't just solve the first part you see! You MUST check both sides of the equals sign.
  • Mixing up + and -: Be careful when you subtract. 8 - 1 is 7, not 9.
  • Guessing: Always do the math. An equation might look tricky, but the numbers could still be equal!

🌟 Tips & Tricks

  • Think of a balance scale: Imagine numbers on each side. They need to balance!
  • Draw circles: For problems like 4 + 3 = 6 + 1, you can draw groups of circles to help you count and compare.
  • Check your facts: Make sure your addition and subtraction facts are correct. Practice makes perfect!

How to Practice

You can get better at this! Try these ideas:

  • Ask a grown-up to write simple equations for you to solve.
  • Use small toys or blocks to build both sides of an equation and see if they match.
  • Play online math games that have "true or false" challenges.

Practice problems

6 of the 97, worked through step by step — try them before opening the answer.

1 9 + 4 = 13

  1. A) true
  2. B) false

Hint: Check if both sides of the equal sign have the same value

Show the answer

Answer: A) true

  1. Calculate the left side: 9 + 4 = 13
  2. Compare with the right side: 13
  3. Both sides equal 13, so the equation is true

2 9 + 4 = 12

  1. A) false
  2. B) true

Hint: Check if both sides of the equal sign have the same value

Show the answer

Answer: A) false

  1. Calculate the left side: 9 + 4 = 13
  2. Compare with the right side: 13 vs 12
  3. Since 13 does not equal 12, the equation is false

3 True or false: 9 = 4 + 5

  1. A) false
  2. B) true

Hint: Check if both sides of the equals sign have the same total value.

Show the answer

Answer: B) true

  1. Look at the right side of the equation: 4 + 5.
  2. Calculate 4 + 5. 4 plus 5 equals 9.
  3. Look at the left side of the equation: 9.
  4. Compare both sides. The left side is 9 and the right side is 9.
  5. Since both sides are equal (9 = 9), the equation is true.

4 True or false: 9 + 4 = 13

  1. A) true
  2. B) false

Hint: Think about what happens when you combine the two numbers on the left side of the equals sign.

Show the answer

Answer: A) true

  1. Look at the left side of the equation: 9 + 4.
  2. Add the two numbers together: 9 + 4 = 13.
  3. Compare the result (13) to the number on the right side of the equation (13).
  4. Since both sides are equal (13 = 13), the equation is true.

5 True or false: 9 + 7 = 16

  1. A) false
  2. B) true

Hint: Check if both sides of the equal sign have the same value. For example, see if 4 + 5 equals 9.

Show the answer

Answer: B) true

  1. Calculate the left side: 9 + 7
  2. 9 + 7 = 16
  3. Compare to the right side: 16
  4. Since both sides are equal (16 = 16), the equation is true.

6 True or false: 8 + 6 = 15

  1. A) true
  2. B) false

Hint: Check if both sides of the equal sign have the same value. For example, see if 5 + 4 equals 9.

Show the answer

Answer: B) false

  1. Calculate the left side: 8 + 6
  2. 8 + 6 = 14
  3. Compare to the right side: 15
  4. Since 14 does not equal 15, the equation is false.
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