Unit 6 Test Review - Algebra I

Adding Polynomials

100

Add the polynomials. Write in standard form. (4x² - 8) + (2x²-8x)

6x² - 8x - 8

200

Add the polynomials. Write in standard form. (-8x² + 3) + (x² + 3x -8)

-7x² + 3x - 5

300

Add the polynomials. Write in standard form. (−6x−2) + (6x²−5x−10)

6x²−11x−12

400

Find the sum of −x²+2 and 3x²−7x+8. Write in standard form.

2x²−7x+10

500

Find the sum of −7x²−1 and x²−x−5. Write in standard form.

-6x² -x - 6

Subtracting Polynomials

100

Subtract the polynomials. Write in standard form. (−x²−3x+3)−(−x²−9x+6)

6x - 3

200

Subtract the polynomials. Write in standard form. (−10x²+2x−10)−(−10x²+3)

2x-13

300

Subtract the polynomials. Write in standard form (−5x²+5x−5)−(3x²+x)

−8x²+4x−5

400

Subtract x²+8x from −3x²−3x−7. Write in standard form.

−4x²−11x−7

500

Subtract −2x²−2x−7 from 2x²+7. Write in standard form.

4x² + 2x + 14

Multiply Binomials

100

Express as a trinomial in standard form. (3x−6)(x+10)

3x²+24x−60

200

Express as a trinomial in standard form. (2x+6)(2x+5)

4x²+22x+30

300

Express as a trinomial in standard form. (x+1)(x-1)

x²-1

400

Express as a trinomial in standard form. (3x+2)(3x-2)

9x²-4

500

Express as a trinomial in standard form. (3x+2)(2x+3)

6x²+13x+6

Squaring Binomials

100

Express (x−4)² as a trinomial in standard form.

x²−8x+16

200

Express (x−10)² as a trinomial in standard form

x²−20x+100

300

Express (2x−5)² as a trinomial in standard form.

4x²-20x+25

400

Express (4x−2)² as a trinomial in standard form.

16x²-16x+4

500

Expand and state your answer as a polynomial in standard form.

(5x−y)²

25x²−10xy+y²

Multiply Polynomials

100

Expand the expression to a polynomial in standard form:

(2x+1)(3x²+3x−2)

6x³+9x²−x−2

200

Expand the expression to a polynomial in standard form:

(x+3)(3x²+6x−4)

3x³+15x²+14x−12

300

Expand the expression to a polynomial in standard form:

(4x−5)(x²+4x+1)

4x³+11x²−16x−5

400

Expand the expression to a polynomial in standard form:

(2x−7)(2x²+4x+3)

4x³−6x²−22x−21

500

Expand the expression to a polynomial in standard form:

(2x+1)(−3x²−6x−4)

−6x³−15x²−14x−4

Find GCF

100

Identify the greatest common factor of 11y and 44.

11

200

Identify the greatest common factor of 49x and 7xy.

7x

300

 Identify the greatest common factor of 15y³ and 39x.

3

400

Identify the greatest common factor of 12ab⁴c and 31b²c⁴

b²c

500

Identify the greatest common factor of 45b³y³ and 25ab⁴y⁴.

5b³y³

Factor out GCF

100

Factor the expression completely.

12x+10

2(6x+5)

200

Factor the expression completely.

3x²−5x

x(3x-5)

300

Factor the expression completely.

48x⁵−8x⁴

8x⁴(6x-1)

400

Factor the expression completely.

−60x⁴+54x

6x(-10x³+9)

500

Factor the expression completely.

x³y⁵−x⁴y

x³y(y⁴−x)

Factor Trinomials

100

Factor.

x²+3x+2

(x+1)(x+2)

200

Factor.

x²−11x+30

(x-5)(x-6)

300

Factor.

2x²+21x+49

(2x+7)(x+7)

400

Factor completely.

3x²+11x−4

(3x-1)(x+4)

500

Factor completely.

6x²+5x+1

(3x+1)(2x+1)