7th Grade Factoring Quiz

Name:

Date:

📚 Part 1: Multiple Choice

1. Factor out the greatest common factor: 12x + 8

4(3x + 2)

2(6x + 4)

8(1.5x + 1)

6(2x + 1)

2. Factor completely: x^2 + 5x + 6

(x + 2)(x + 3)

(x + 1)(x + 6)

(x + 3)(x + 3)

Prime (cannot be factored)

3. Factor as a difference of squares: 9y^2 - 16

(3y - 4)(3y + 4)

(9y - 4)(y + 4)

(3y - 2)(3y + 8)

(y - 4)(9y + 4)

4. Check all that apply: Which expressions have a greatest common factor greater than 1?

6a + 9b

x^2 + 2x

5m + 7n

12p^2 + 8p

✏️ Part 2: Short Answers & Teacher Notes

I can... factor out a greatest common factor, factor trinomials, use difference of squares, and use factoring to find dimensions of rectangular areas.

Success criteria: I can identify a common factor, rewrite expressions as products, and check my answer by expanding.

Differentiation strategies: Provide colored highlighters to mark common factors; allow calculators for checking multiplication; offer step-by-step hint cards.

Extension: Try applying factoring to reverse-engineer dimensions for surface area and volume problems (e.g., factor an expression for area to find side lengths).

Dyslexia-friendly reading: Use larger font, left-aligned text, and extra spacing; re-read each problem aloud if helpful.

5. Factor completely: 6x^2 - 15x

6. Factor by grouping: x^3 + 3x^2 + x + 3

7. The area of a rectangle is 12x^2 + 8x. Factor the expression and give one possible pair of side expressions (length × width).

8. Challenge: Factor completely: 4x^2 - 25y^2. Show work if needed.