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Factoring and Expanding Equation

Authored by Anthony Clark

Mathematics

7th Grade

CCSS covered

Factoring and Expanding Equation
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15 questions

Show all answers

1.

MATCH QUESTION

1 min • 1 pt

Match each polynomial with the correct label for factoring.

x3+64x^3+64

Sum of Two Squares

64x3−164x^3-1

Difference of

Two Cubes

9x2+649x^2+64

GCF Only

9x2−649x^2-64

Sum of

Two Cubes

9x2−64x9x^2-64x

Difference of

Two Squares

Tags

CCSS.HSA.APR.C.4

2.

MATH RESPONSE QUESTION

1 min • 1 pt

Find the missing number that makes the expression a perfect square.

49x2−28x+49x^2-28x+ _

Enter the expression written in factored form.

(7x−2)2\left(7x-2\right)^2

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

3.

REORDER QUESTION

1 min • 1 pt

What are the steps for factoring a quadratic equation?

Divide left and right terms in diamond by a, and simplify.

Distribute a term to set of parentheses with fraction inside.

Multiply a & c, write in top of diamond. Put b in bottom.

Write left and right terms in factored form (x+_)(x+_). place a term in front.

Determine factors of top that add to equal bottom, write these on left and right of diamond

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
4n2-17n-15

(n-10)(6n+1)

(4n-5)(n-3)

(n-5)(4n-3)

(n-5)(4n+3)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the polynomial:
5x2 - 13x + 6

(x + 3)(5x - 2)

(x - 2)(5x - 3)

(x + 2)(5x + 3)

(x - 3)(5x + 2)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Multiply:

(4a + 5 )( 5a - 7 )

20a - 35

20a + 35

20a2 - 3a - 35

20a2 + 3a - 35

Tags

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expand the following factors by multiplying

2x3+x2−50x−252x^3+x^2-50x-25

2x3−19x2+40x+252x^3-19x^2+40x+25

2x3+21x2+60x+252x^3+21x^2+60x+25

2x3+7x2+1x2x^3+7x^2+1x

Tags

CCSS.HSA.APR.A.1

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