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Expanding & Factoring Linear Expressions — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
Expand, simplify, or factor each expression as directed.
How to solve
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Example
Expand: 2(x + 4)
Answer: 2x + 8
Not quite. The answer is
💡 Multiply 2 by each term inside: 2 × x = 2x and 2 × 4 = 8. So the answer is 2x + 8.
✓ Correct!
Not quite. The answer is
💡 Multiply 2 by each term inside: 2 × x = 2x and 2 × 4 = 8. So the answer is 2x + 8.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 2(3x + 4)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The GCF of 4 and 6 is 2. Divide each term by 2: 4x ÷ 2 = 2x and 6 ÷ 2 = 3. Write the GCF outside the parentheses: 2(2x + 3). Check: 2(2x + 3) = 4x + 6.
✓ Correct!
Not quite. The answer is
💡 The GCF of 4 and 6 is 2. Divide each term by 2: 4x ÷ 2 = 2x and 6 ÷ 2 = 3. Write the GCF outside the parentheses: 2(2x + 3). Check: 2(2x + 3) = 4x + 6.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 3(3x + 1)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply 3 by each term inside: 3 × 4x = 12x and 3 × 1 = 3. So the answer is 12x + 3.
✓ Correct!
Not quite. The answer is
💡 Multiply 3 by each term inside: 3 × 4x = 12x and 3 × 1 = 3. So the answer is 12x + 3.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 2(x + 3)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The GCF of 6 and 8 is 2. Divide each term by 2: 6x ÷ 2 = 3x and 8 ÷ 2 = 4. Write the GCF outside the parentheses: 2(3x + 4). Check: 2(3x + 4) = 6x + 8.
✓ Correct!
Not quite. The answer is
💡 The GCF of 6 and 8 is 2. Divide each term by 2: 6x ÷ 2 = 3x and 8 ÷ 2 = 4. Write the GCF outside the parentheses: 2(3x + 4). Check: 2(3x + 4) = 6x + 8.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 3(3x + 3)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply 4 by each term inside: 4 × 2x = 8x and 4 × 2 = 8. So the answer is 8x + 8.
✓ Correct!
Not quite. The answer is
💡 Multiply 4 by each term inside: 4 × 2x = 8x and 4 × 2 = 8. So the answer is 8x + 8.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 2(4x + 2)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The GCF of 4 and 12 is 4. Divide each term by 4: 4x ÷ 4 = x and 12 ÷ 4 = 3. Write the GCF outside the parentheses: 4(x + 3). Check: 4(x + 3) = 4x + 12.
✓ Correct!
Not quite. The answer is
💡 The GCF of 4 and 12 is 4. Divide each term by 4: 4x ÷ 4 = x and 12 ÷ 4 = 3. Write the GCF outside the parentheses: 4(x + 3). Check: 4(x + 3) = 4x + 12.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 2(3x + 4)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply 4 by each term inside: 4 × x = 4x and 4 × 2 = 8. So the answer is 4x + 8.
✓ Correct!
Not quite. The answer is
💡 Multiply 4 by each term inside: 4 × x = 4x and 4 × 2 = 8. So the answer is 4x + 8.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 2(2x + 3)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The GCF of 6 and 10 is 2. Divide each term by 2: 6x ÷ 2 = 3x and 10 ÷ 2 = 5. Write the GCF outside the parentheses: 2(3x + 5). Check: 2(3x + 5) = 6x + 10.
✓ Correct!
Not quite. The answer is
💡 The GCF of 6 and 10 is 2. Divide each term by 2: 6x ÷ 2 = 3x and 10 ÷ 2 = 5. Write the GCF outside the parentheses: 2(3x + 5). Check: 2(3x + 5) = 6x + 10.
💡 How to solve: Expanding & Factoring Linear Expressions
To expand, multiply the number outside the parentheses by every term inside: 3(2x − 5) = 6x − 15. To factor, find the greatest common factor (GCF) of the terms and write it outside the parentheses: 12x + 18 = 6(2x + 3). Check a factored answer by expanding it again.
Try a similar one
Expand: 2(2x + 2)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Expanding & Factoring Linear Expressions — Easy Worksheet 1
Expand, simplify, or factor each expression as directed.