Free Printable Solving Equations in Factored Form

1-8.

1.

Do Now:

Solve the equation.

$x-3=0$

a)

x = 3

b)

x = -3

c)

x = 0

d)

No Solution

2.

Do Now:

Solve the equation.

$x+4=0$

a)

x = 4

b)

x = - 4

c)

x = 0

d)

No Solution

3.

Do Now:

Solve the equation.

$3z+2=0$

a)

z = 0

b)

z = -2

c)

z = 2

d)

$z=\frac{2}{3}$

e)

$z=-\frac{2}{3}$

4.

Do Now:

Solve the equation.

$-2z+4=0$

a)

z = 0

b)

z = - 4

c)

z = 4

d)

$z=-\frac{2}{4}$

e)

z = 2

5.

Do Now:

Solve the equation.

$\frac{1}{2}z=0$

a)

z = 0

b)

z = 1

c)

$z=\frac{2}{1}$

d)

z = - 2

e)

$z=-\frac{1}{2}$

6.

Do Now:

Solve the equation.

$7x=0$

a)

x = 0

b)

x = 7

c)

No Solution

d)

$x=\frac{7}{0}$

e)

$x=-\frac{7}{0}$

7.

Do Now:

Solve the equation.

$2\left(x-3\right)=0$

a)

x = - 2

b)

x = - 3

c)

$x=\frac{2}{3}$

d)

x = 3

e)

$x\ =-\frac{2}{3}$

8.

Do Now:

Solve the equation.

$-12\left(x+4\right)=0$

a)

x = 4

b)

x = 12

c)

x = - 4

d)

x = -12

e)

x = 0

9-11.

Answer the questions below after watching the video

9.

What property states that the sum of any number and zero is that same number?

(a)

10.

What property states that anything times zero equals zero?

(a)

11.

True or False

Consider the product of two real numbers. If their product equals zero then at least one of those real numbers equals zero.

a)

True

b)

False

12-16.

12.

A polynomial is in ________ ____ when it is written as a product of factors.

(a)

13.

Which polynomials are in Standard form? (Select All)

a)

$x^2+2x$

b)

$x^2+5x-24$

c)

$x\left(x+2\right)$

d)

$\left(x-3\right)\left(x+8\right)$

14.

Which polynomials are in Factored form? (Select All)

a)

$x^2+2x$

b)

$x\left(x+2\right)$

c)

$\left(x-3\right)\left(x+8\right)$

d)

$x^2+5x-24$

15.

When one side of an equation is a polynomial in factored form and the other side is 0, use the Zero-Product Property to _____ ___ __________ _________.

(a)

16.

The solutions of an equation are also called (a) .

17.

If the product of two real numbers is 0, then at least one of the numbers is 0.

a)

Words

b)

Algebra

18.

If a and b are real numbers and ab=0, then a = 0 or b = 0.

a)

Words

b)

Algebra

19.

Solve each equation.

$2x\left(x-4\right)=0$

a)

x = 0 and x = 4

b)

x = 0 only

c)

x = 4 only

d)

x = 0 or x = 4

e)

No Solution

20.

Solve each equation.

$\left(x-3\right)\left(x-9\right)=0$

a)

x = 3 and x = 9

b)

x = 3 only

c)

x = 9 only

d)

x = 3 or x = 9

e)

No Solution

21.

When two or more roots of an equation are the same number, the equation has _________ _____.

(a)

22.

Factoring Polynomials Using the GCF

To solve a polynomial equation using the Zero-Product Property, you may need to ______ the polynomial.

a)

factor

b)

solve

c)

multiply

d)

add

e)

GCF

23.

This is a monomial that divides evenly into each term of a polynomial.

(a)

24.

What is the name of this property?

a)

Zero Exponent Property

b)

Zero Product Property

c)

Commutative Property

d)

Zero Sum Property

25.

In the equation
(x + 2)(x - 3) = 0, the binomials are called...?

a)

Factors

b)

Products

c)

Multiples

d)

Zeros

26.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

27.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

28.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

29.

Solve and find your zeros:
z(z - 15)=0

a)

z=0 and z=15

b)

z=0 and z=-15

c)

z=-15

d)

z=15

30.

Factor
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

31.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing?

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

32.

Solve for the values of x:
(2x + 5)(5x - 2) = 0

a)

{ -5/2, -2/5 }

b)

{ -5/2, 2/5 }

c)

{ 5/2, 2/5 }

d)

{ 5/2, -2/5 }

33.

Solve for X:

(x-5)(x+6)=0

a)

{5,5 }

b)

{ -5,-5 }

c)

{ -5,-6 }

d)

{5,-6 }

34.

$r\left(r+7\right)=0$

a)

$r=0,\ r=-7$

b)

$r=0,\ r=7$

c)

$r=-7$

d)

$r=7$

35.

$j\left(j-9\right)=0$

a)

$j=0,\ j=9$

b)

$j=0,\ j=-9$

c)

$j=9$

d)

$j=-9$

36.

$\left(u-2\right)\left(u+8\right)=0$

a)

$u=2,\ u=-8$

b)

$u=-2,\ u=8$

c)

$u=2,\ u=8$

d)

$u=-2,\ u=-8$

37.

$\left(7f-3\right)\left(9f+1\right)=0$

a)

$f=\frac{3}{7},\ f=-\frac{1}{9}$

b)

$f=-\frac{3}{7},\ f=\frac{1}{9}$

c)

$f=\frac{3}{7,}\ f=\frac{1}{9}$

d)

$f=-\frac{3}{7},\ f=-\frac{1}{9}$

38.

$\left(h+8\right)\left(h+5\right)=0$

a)

$h=-8,\ h=-5$

b)

$h=8,\ h=5$

c)

$h=-8,\ h=5$

d)

$h=8,\ h=-5$

39.

$\left(c+6\right)\left(c-7\right)=0$

a)

$c=-6,\ c=7$

b)

$c=6,\ c=-7$

c)

$c=6,\ c=7$

d)

$c=-6,\ c=-7$

40.

$\left(2q+1\right)\left(q-9\right)=0$

a)

$q=-\frac{1}{2},\ q=9$

b)

$q=\frac{1}{2},\ q=-9$

c)

$q=-\frac{1}{2},\ q=-9$

d)

$q=\frac{1}{2},\ q=9$

41.

$\left(8p-9\right)\left(7p+6\right)=0$

a)

$p=\frac{9}{8},\ p=-\frac{6}{7}$

b)

$p=-\frac{9}{8},\ p=\frac{6}{7}$

c)

$p=\frac{9}{8},\ p=\frac{6}{7}$

d)

$p=-\frac{9}{8},\ p=-\frac{6}{7}$

42.

$\left(h+8\right)\left(9h+7\right)=0$

a)

$h=-8.\ h=-\frac{7}{9}$

b)

$h=8,\ h=\frac{7}{9}$

c)

$h=-8,\ h=\frac{7}{9}$

d)

$h=8,\ h=-\frac{7}{9}$

43.

What is the Greatest Common Factor of 12 and 48?

a)

6

b)

12

c)

4

d)

16

44.

What is the Greatest Common Factor of 35 and 42?

a)

5

b)

14

c)

7

d)

3

45.

What are the factors of 25?

a)

1, 2, 3, 5, 10, 15, 25

b)

1, 5, 25

c)

1, 25

d)

1, 5

46.

List all the factors of 12

a)

1, 2, 3, 4, 6, 12

b)

1, 2, 4, 12

c)

1, 12

d)

1, 2, 3, 4, 5, 6, 12

47.

What is the GCF of 8 and 24?

a)

1

b)

24

c)

8

d)

4

48.

What does GCF mean?

a)

Great Cookie Fever

b)

Greatest Common Factor

c)

Greatest Common Multiple

d)

Greatest Compared Factor

49.

What is the greatest common factor of 35 and 47?

a)

5

b)

7

c)

1

d)

8

50.

What is the greatest common factor of 16 and 24?

(a)

51.

What is the greatest common factor of 12 and 20?

(a)

52.

Which is a NOT a factor of 9?

a)

0

b)

1

c)

3

d)

9

53.

a)

A

b)

B

c)

C

d)

C

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

Solving Equations in Factored Form

Total questions: 47

Worksheet time: 10hrs 29mins

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