Grade 9 · Math · Algebra 1

9th grade Multiply binomials and polynomials, and use them for perimeter and area worksheet

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Multiply binomials and polynomials, and use them for perimeter and area

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Pia multiplies (2x + 3)(x − 4) with an area model. Type x² as x^2. What is the product in fewest terms?
Tala multiplies (x − 6)(4x + 1) with an area model. Type x² as x^2. What is the product in fewest terms?
Ari multiplies (5x + 2)(x − 3) with an area model. Type x² as x^2. What is the product in fewest terms?
Bo uses a 2-by-3 area model for (x + 2)(x² − 3x + 4). Type x³ as x^3. What is the product in standard form?
Esme uses a 2-by-3 area model for (x − 3)(x² + 2x − 1). Type x³ as x^3. What is the product in standard form?
Luz's vegetable garden is (3x − 2) meters by (x + 4) meters, with x at least 1. Type x² as x^2. What is its area in fewest terms?
Noah's wall painting is (x + 6) feet by (4x − 3) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?
Pia's quilt is (5x − 4) feet by (x + 2) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?
Tala's door sign is (2x² − 1) inches by (x + 6) inches, with x at least 1. Type x² as x^2. What is its perimeter in fewest terms?
Zee's window is (x² + x) inches by (3x + 4) inches, with x at least 1. Type x² as x^2. What is its perimeter in fewest terms?

9th grade Multiply binomials and polynomials, and use them for perimeter and area worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Multiply binomials and polynomials, and use them for perimeter and area. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can multiply two binomials, or a binomial and a trinomial, with an area model.
I can write the area and the perimeter of a rectangle whose sides have x in them.

Standard: A-APR.A.1, A-CED.A.2

Words to know

area model: A rectangle with the factors as sides, cut into one part per pair of terms.

partial product: One part of the area model: one term times one term.

perimeter: The distance around the outline: add all the sides.

area: The space inside: multiply the sides.

Common mistakes

Your child multiplied only the first terms and the last terms, so the middle parts went missing. Try: draw the rectangle and fill in all four parts.

Your child wrote x × x as 2x.

Your child added the two numbers in the brackets without their signs.

What to say

Ask: is a square with side x the same as two lengths of x?

Ask: which of the two x parts is negative?

Questions parents ask

What is the most common mistake with multiply binomials and polynomials, and use them for perimeter and area?

Your child multiplied only the first terms and the last terms, so the middle parts went missing. Try: draw the rectangle and fill in all four parts.

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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