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Equivalent Expressions — Easy Worksheet 1
Grade 6 · MathSheets Name: ____________________ Date: __________
Write each expression in simplest form, or answer the question.
How to solve
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Example
Use the distributive property to expand 4(x + 6).
Answer: 4x + 24
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 3(k + 5).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 4(m + 1).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 3(m + 1).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 4(x + 4).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 5(x + 2).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 3(y + 2).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 3(y + 9).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equivalent Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(x + 4) = 3x + 12. To combine like terms, add the coefficients of the same variable and add the constants: 4x + 3 + 2x = 6x + 3. To factor, pull the GCF of the terms outside the parentheses: 6x + 9 = 3(2x + 3).
Try a similar one
Use the distributive property to expand 2(k + 1).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Equivalent Expressions — Easy Worksheet 1
Write each expression in simplest form, or answer the question.