T3U9 Test Review

T3U9 Test Review
Polynomials

The basics of Polynomials

Just distribute the negative to any term in the parenthesis behind it & add the coefficients of the like terms { -(x+7)+4 = -x-7+4 = -x-3 }

Difference = to subtract

Multiple Choice

Trina spends a certain amount of money making b

bracelets represented by the expression 2b+3. Aaliyah spends a different amount when she makes b

bracelets represented by the expression 8b+12.

Which describes how the cost of Aaliyah's bracelets compares to the cost of Trina's bracelets?

• 2 times the cost

• 3 times the cost

• 4 times the cost

• 8 times the cost

Multiple Choice

The polynomial f(x) = 2x^3 -5x^2 +6x +1 has the degree of ____?

• 4

• 2

• 5

• 3

Multiple Choice

-6x^5 +4x^2 -2x +8

has ___ terms.

• 4

• 5

• 6

• 9

Multiple Choice

-6x^5 +4x^2 -2x +8

has the coefficient of ____ on the third term.

• -2

• -6

• 4

• 1

Adding Polynomials

When adding polynomials -

Just add the coefficients of the like terms ( x with 2x = 3x )

Perimeter = Add all the sides

Sum = to add

Multiple Choice

What is the perimeter of a rectangle with the length of 4x-2 and the width of x ?

• 5x-2

• 10x-4

• 5x+6

• 10x+12

Multiple Choice

What is the perimeter of a shape with the sides of 3x+2 , x , 3x , 2x-1 , 5x+2 , and 3x-1 ?

• 16x+2

• 15x^2 +x -2

• 13x^2 +x -2

• 17x-2

Multiple Choice

What is the sum of 2x^2 -7x +1 and 4x -5x^2 -12 ?

• -3x^2 -3x -11

• 6x^2 -12x^2 -11

• 7x^2 -11x +13

• 7x^2 +11x +13

Subtracting Polynomials

When subtracting polynomials -

Just distribute the negative to all terms in the parenthesis behind it & add the like terms. Ex: -(x+7)+4 = -x-7+4 = -x-3

Difference = to subtract

Multiple Choice

(12p^2 +15p +3) - (2p^2 +17p -2)

• 10p^2 -2p +5

• 10p^2 -2p +1

• 10p^2 +2p -5

• 10p^4 -2p +5

Multiple Choice

What is the difference of 19a+26b and 8a-9b ?

• 11a +35b

• 11a +17b

• 27a +35b

• 27a +17b

Multiplying Polynomials

When multiplying polynomials -

Use foil method (first, outer, inner, last) or the box method.

Multiplying polynomials means you will multiply the coefficients & add the exponents.

Area = to multiply length x width

Multiple Choice

(x-4)(5x^2 -2x +6)

• 5x^2 +x -2

• 5x^3 -22x^2 +14x -24

• 5x^2 +x +2

• 5x^3 -2x^2 +6x -4

Multiple Choice

5x^2 +8x - (x+3)^2 -11

• 4x^2 +2x -20

• 4x^2 +8x -2

• 4x^2 +8x -20

• 4x^2 +14x -2

Multiple Choice

What is the product of 3x-4 and x^2 +5x -2 ?

• 3x^3 +5x -8

• 3x^3 -20x -2

• 3x^3 +11x^2 -26x +8

• 3x^3 +19x^2 -14x +8

Multiple Choice

What is the area of a rectangle with the length of 6x-5 and the width of 3x-8 ?

• 18x^2 -33x +40

• 18x^2 -40

• 18x^2 -63x +40

• 18x^2 +33x +40

Multiple Choice

(5v-4)(3v+5)

• 15v^2 +37v -20

• 8v^2 +1

• 15v^2 +13v -20

• 15v^2 -20

Multiple Select

Width = 2x-1 Length = 5x+3

Which two represent the area of the rectangle?

• (2x-1)(5x+3)

• 10x^2 +x -3

• 2(2x-1) + 2(5x+3)

• 14x+4

• (2x-1)+(5x+3)

Multiple Choice

3x+2-x+1-(____) = 5x+4

• 3x-1

• -3x-1

• 3x+1

• -3x+1

Multiple Choice

3(4x-1)-2(3x+2)

• 6x-7

• 6x+1

• 18x-1

• 18x-7

Open Ended

-5x^2 ( x -y^2 ) - ( y^3 -7 ) -5y^2 ( x^2 -4y ) +6x^3 = x^3 + ______ y^3 + ______

Open Ended

-(3x-1)(3x+3) = ___ x^2 + _____x + ____