Algebra 1 - Chapter 4

Simplify Polynomials

100

Expressions that are made by adding and subtracting terms.

What is a polynomial

200

Simplify the polynomial expression.

(-5x+13)+(2x²-7x+16)

2x²-12x+29

300

Simplify the polynomial expression.

(-4x+9)+(3x²-6x+7)

3x²-10x+16

400

Simplify the polynomial expression.

(-x²+3x-18)-(6x²-2x-5)

-7x²+5x-13

500

Simplify the polynomial expression.

(-2x²+6x-11)-(x²-7x-12)

-3x²+13x+1

Solve for X

100

Solve for x.

2x+(-3x+13)=28

x=-15

200

Solve for x.

42=(5x+18)+(x-6)

x=5

300

Solve for x.

101=(11x-7)-(-2x-4)

x=8

400

Solve for x.

7(2x+1)=77

x=5

500

Solve for x.

-38=3(x-1)+1

x=-12

Multiply and Simplify500 is Factoring

100

Multiply and simplify.

(x+5)(x-4)

x²+x-20

200

Multiply and simplify.

(2x-3)(x+7)

2x²+11x-21

300

Multiply and simplify.

4(x+1)(x-2)

4x²-4x-8

400

Multiply and simplify.

-3(x-5)(x-6)

-3x²+33x-90

500

Factor into the product of two binomials.

x²+8x+12

(x+2)(x+6)

Factor Polynomials

100

Factor into the product of two binomials.

x²-169

(x+13)(x-13)

200

Factor into the product of two binomials.

16x²-25

(4x+5)(4x-5)

300

Factor into the product of two binomials.

x²-5x-36

(x+4)(x-9)

400

Factor the polynomial.

17x-51

17(x-3)

500

Factor the polynomial.

26x²y³-39x³y²

13x²y²(2y-3x)

Solve Quadratic Equations100 is Factoring

100

Factor the polynomial.

24x²y+32xy+16x

8x(3xy+4y+2)

200

Solve the quadratic function by factoring the trinomials.

x²+7x-30=0

x=-10 and x=3

300

Solve the quadratic function by factoring the trinomials.

x²+11x+24=0

x=-8 and x=-3

400

Solve the quadratic function by factoring the trinomials.

x²+2x-15=0

x=-5 and x=3

500

Solve the quadratic function by factoring the trinomials.

x²+27x+50=0

x=-25 and x=-2