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Quadratic Expressions — Easy Worksheet 2
Grade 9 · MathSheets Name: ____________________ Date: __________
Expand each expression.
How to solve
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Example
Expand: (x + 3)(x + 1)
Answer: x² + 4x + 3
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 4 = 4x. Inner: 5 × x = 5x. Last: 5 × 4 = 20. Add them and combine like terms: x² + 4x + 5x + 20 = x² + 9x + 20.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 4 = 4x. Inner: 5 × x = 5x. Last: 5 × 4 = 20. Add them and combine like terms: x² + 4x + 5x + 20 = x² + 9x + 20.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 1)(x + 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
💡 Use FOIL. First: x × x = x². Outer: x × 2 = 2x. Inner: 1 × x = x. Last: 1 × 2 = 2. Add them and combine like terms: x² + 2x + x + 2 = x² + 3x + 2.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 2 = 2x. Inner: 1 × x = x. Last: 1 × 2 = 2. Add them and combine like terms: x² + 2x + x + 2 = x² + 3x + 2.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 4)(x + 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
💡 Use FOIL. First: x × x = x². Outer: x × 4 = 4x. Inner: 3 × x = 3x. Last: 3 × 4 = 12. Add them and combine like terms: x² + 4x + 3x + 12 = x² + 7x + 12.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 4 = 4x. Inner: 3 × x = 3x. Last: 3 × 4 = 12. Add them and combine like terms: x² + 4x + 3x + 12 = x² + 7x + 12.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 5)(x + 5)
✓ 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
💡 Use FOIL. First: x × x = x². Outer: x × 3 = 3x. Inner: 2 × x = 2x. Last: 2 × 3 = 6. Add them and combine like terms: x² + 3x + 2x + 6 = x² + 5x + 6.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 3 = 3x. Inner: 2 × x = 2x. Last: 2 × 3 = 6. Add them and combine like terms: x² + 3x + 2x + 6 = x² + 5x + 6.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 2)(x + 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
💡 Use FOIL. First: x × x = x². Outer: x × 3 = 3x. Inner: 3 × x = 3x. Last: 3 × 3 = 9. Add them and combine like terms: x² + 3x + 3x + 9 = x² + 6x + 9.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 3 = 3x. Inner: 3 × x = 3x. Last: 3 × 3 = 9. Add them and combine like terms: x² + 3x + 3x + 9 = x² + 6x + 9.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 2)(x + 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
💡 Use FOIL. First: x × x = x². Outer: x × 5 = 5x. Inner: 1 × x = x. Last: 1 × 5 = 5. Add them and combine like terms: x² + 5x + x + 5 = x² + 6x + 5.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 5 = 5x. Inner: 1 × x = x. Last: 1 × 5 = 5. Add them and combine like terms: x² + 5x + x + 5 = x² + 6x + 5.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 5)(x + 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
💡 Use FOIL. First: x × x = x². Outer: x × 1 = x. Inner: 2 × x = 2x. Last: 2 × 1 = 2. Add them and combine like terms: x² + x + 2x + 2 = x² + 3x + 2.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 1 = x. Inner: 2 × x = 2x. Last: 2 × 1 = 2. Add them and combine like terms: x² + x + 2x + 2 = x² + 3x + 2.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 4)(x + 5)
✓ 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
💡 Use FOIL. First: x × x = x². Outer: x × 3 = 3x. Inner: 5 × x = 5x. Last: 5 × 3 = 15. Add them and combine like terms: x² + 3x + 5x + 15 = x² + 8x + 15.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x × x = x². Outer: x × 3 = 3x. Inner: 5 × x = 5x. Last: 5 × 3 = 15. Add them and combine like terms: x² + 3x + 5x + 15 = x² + 8x + 15.
💡 How to solve: Quadratic Expressions
Use FOIL: multiply First, Outer, Inner, and Last terms, so (x + a)(x + b) = x² + (a + b)x + ab. Combine the two middle terms and write the answer as x² + bx + c.
Try a similar one
Expand: (x + 3)(x + 3)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Quadratic Expressions — Easy Worksheet 2
Expand each expression.