Quiz about Zero Product Property

Question 1

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

Accepted Answer

(-5, 0) and (9, 0)

Answer

(5,0) and (-9, 0)

Answer

(5, 0) and (9, 0)

Answer

(-3, 0) and (5, 0)and (-9, 0)

Question 2

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

Accepted Answer

True

Answer

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

Answer

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

Answer

False, they are all different

Question 3

Which quadratic equation models the parabola shown?

Accepted Answer

y = (x-2)(x-5)

Answer

y = (x+2)(x+5)

Answer

y = -(x+2)(x+5)

Answer

y = -(x-2)(x-5)

Question 4

Which quadratic equation models the parabola shown?

Accepted Answer

y = -(x-2)(x-5)

Answer

y = (x-2)(x+5)

Answer

y = (x+2)(x+5)

Answer

y = -(x+2)(x+5)

Question 5

What is the equation for this parabola in factored form?

Accepted Answer

y=(x+2)(x-1)

Answer

y=(x-2)(x+1)

Answer

y=(x-2)(x-1)

Answer

y=(x+2)(x+1)

Question 6

Which equation matches the x-intercepts x=5,-7 ?

Accepted Answer

(x-5)(x+7)=0

Answer

(x+5)(x-7)=0

Answer

(x+5)(x+7)=0

Answer

(x-5)(x-7)=0

Question 7

What are the x-intercepts:

(x - 5)(x - 1) = 0

Accepted Answer

{ 5, 1 }

Answer

{ 5, -1 }

Answer

{ -5, 1 }

Answer

{ -5, -1 }

Question 8

What are the x-intercepts:

(x - 3)(x + 6) = 0

Accepted Answer

{ 3, -6 }

Answer

{ -3, -6 }

Answer

{ -3, -6 }

Answer

{ 3, 6 }

Question 9

What is another word for zeros?

Accepted Answer

roots

Answer

y-intercepts

Answer

vertex

Answer

axis of symmetry

Question 10

What are the x-intercepts?

Accepted Answer

0 and 4

Answer

0 and 2

Answer

-4 and 0

Answer

2 and 3

Question 11

What is the equation for this parabola in factored form?

Accepted Answer

y=(x+2)(x-1)

Answer

y=(x-2)(x+1)

Answer

y=(x-2)(x-1)

Answer

y=(x+2)(x+1)

Question 12

In factored form you can see the ______ of the graph easily.

Accepted Answer

x-intercepts

Answer

y-intercept

Answer

vertex

Question 13

What is the factored quadratic equation in the following graph?

Accepted Answer

(x - 2)(x - 6) = y

Answer

( x+ 2)(x + 6) = y

Answer

x² - 8x + 12 = y

Answer

(x - 4)(x + 4) = y

Question 14

Find the zeros of this quadratic.

Accepted Answer

b=4/5, b=-3

Answer

b=4/5, b=3

Answer

b=4, b=-3

Answer

b=1/5, b=3

Question 15

What are the x-intercepts for g(x) = (x + 8)(x + 2)

Accepted Answer

-8 and - 2

Answer

8 and 2

Answer

(8, 2)

Answer

(-8, -2)

Question 16

What's another name for the x-intercepts?

Accepted Answer

Roots

Answer

Vertices

Answer

axis of symmetry

Answer

Minimums

Question 17

What are the zeros? y = (x - 3)(x + 8)

Accepted Answer

3 and -8

Answer

-3 and 8

Answer

-3 and -8

Answer

3 and 8

Question 18

Which of the following is Intercept (Factored) Form?

Accepted Answer

$$y=a\left(x-p\right)\left(x-q\right)$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-h\right)^2+k$$

Question 19

What is an equation of a quadratic with x-intercepts at $$\left(-1,0\right)$$ and $$\left(-10,0\right)$$

Accepted Answer

$$y=\frac{1}{3}\left(x+1\right)\left(x+10\right)$$

Answer

$$y=-2\left(x+1\right)\left(x-10\right)$$

Answer

$$y=-\frac{1}{10}\left(x-1\right)\left(x+10\right)$$

Answer

$$y=3\left(x-1\right)\left(x-10\right)$$

Question 20

What is an equation of a quadratic with x-intercepts at $$\left(4,0\right)$$ and $$\left(-5,0\right)$$

Accepted Answer

$$y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$$

Answer

$$y=-\frac{1}{3}\left(x+4\right)\left(x-5\right)$$

Answer

$$y=4\left(x+4\right)\left(x+5\right)$$

Answer

$$y=3\left(x-4\right)\left(x-5\right)$$

Question 21

What is an equation of a quadratic with x-intercepts at $$\left(7,0\right)$$ and $$\left(11,0\right)$$

Accepted Answer

$$y=\frac{3}{2}\left(x-7\right)\left(x-11\right)$$

Answer

$$y=-\frac{1}{3}\left(x+7\right)\left(x-11\right)$$

Answer

$$y=-\left(x+7\right)\left(x+11\right)$$

Answer

$$y=\frac{2}{5}\left(x-7\right)\left(x+11\right)$$

Question 22

$$y=8\left(x-2\right)\left(x+3\right)$$ What are the zeros (x-intercepts) of the equation

Accepted Answer

$$\left(2,0\right)\ and\ \left(-3,0\right)$$

Answer

$$\left(2,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(-2,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(-2,0\right)\ and\ \left(-3,0\right)$$

Question 23

$$y=-\frac{2}{3}\left(x+1\right)\left(x+3\right)$$ What are the zeros (x-intercepts) of the equation

Accepted Answer

$$\left(-1,0\right)\ and\ \left(-3,0\right)$$

Answer

$$\left(1,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(-1,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(1,0\right)\ and\ \left(-3,0\right)$$

Question 24

$$y=\frac{1}{4}\left(x+5\right)\left(x-6\right)$$ What are the zeros (x-intercepts) of the equation

Accepted Answer

$$\left(-5,0\right)\ and\ \left(6,0\right)$$

Answer

$$\left(5,0\right)\ and\ \left(6,0\right)$$

Answer

$$\left(5,0\right)\ and\ \left(-6,0\right)$$

Answer

$$\left(-5,0\right)\ and\ \left(-6,0\right)$$

Question 25

In which form is this equation? $$y=(x-3)(x+8)$$

Accepted Answer

Factored

Answer

Standard

Answer

Vertex

Answer

Parabolic

Question 26

Convert to Factored Form

x² + 5x - 24

Accepted Answer

(x + 8)(x - 3)

Answer

(x - 8)(x + 3)

Answer

(x + 6)(x - 4)

Answer

(x + 12)(x - 2)

Question 27

Convert to Factored Form:

x² - 10x + 24

Accepted Answer

(x - 6)(x - 4)

Answer

(x + 6)(x + 4)

Answer

(x - 12)(x + 2)

Answer

(x - 8)(x - 3)

Question 28

Convert to Factored Form:

3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 29

Convert to Factored Form

(hint...take out the greatest common factor first)

2c² + 2c - 84

Accepted Answer

2(c+7)(c-6)

Answer

(c-6)(2c+14)

Answer

(c+7)(2c-12)

Answer

(c-4)(2c+21)

Question 30

Convert to Factored Form:

(hint: use slide n' divide)

4x²-16x-9

Accepted Answer

(2x-9)(2x+1)

Answer

(2x+9)(2x-1)

Answer

(4x-1)(x+9)

Answer

(x+1)(4x-9)

Question 31

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

Accepted Answer

(-5, 0) and (9, 0)

Answer

(5,0) and (-9, 0)

Answer

(5, 0) and (9, 0)

Answer

(-3, 0) and (5, 0)and (-9, 0)

Question 32

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

Accepted Answer

x = -1 or x = 1

Answer

x = -1

Answer

x = 1

Answer

x = -2 or x = 5

Question 33

Which equation matches the x-intercepts x=5,-7 ?

Accepted Answer

(x-5)(x+7)=0

Answer

(x+5)(x-7)=0

Answer

(x+5)(x+7)=0

Answer

(x-5)(x-7)=0

Question 34

What are the x-intercepts:

(x - 5)(x - 1) = 0

Accepted Answer

{ 5, 1 }

Answer

{ 5, -1 }

Answer

{ -5, 1 }

Answer

{ -5, -1 }

Question 35

What are the x-intercepts:

(x - 3)(x + 6) = 0

Accepted Answer

{ 3, -6 }

Answer

{ -3, -6 }

Answer

{ -3, -6 }

Answer

{ 3, 6 }

Question 36

What does it mean to "find the zeros" of a quadratic?

Accepted Answer

Factor then set each factor equal to zero and solve to find x-intercepts

Answer

Plug in 0 and solve the expression.

Answer

Set the expression equal to zero and solve

Answer

Factor then set each factor equal to zero and solve to find y-intercepts

Question 37

The x-intercepts of a quadratic equation are known as the _____.

Accepted Answer

zeros

Answer

vertices

Answer

squares

Answer

formulas

Question 38

Solve for the values of x:

(x - 5)(x - 1) = 0

Accepted Answer

(5, 0) or (1, 0)

Answer

(-5, 0) or (-1, 0)

Answer

(0, -5) or (0, -1)

Answer

(0, 5) or (0, 1)

Question 39

Solve for the values of x:
(x - 3)(x + 6) = 0

Accepted Answer

{ 3, -6 }

Answer

{ -3, -6 }

Answer

{ -3, -6 }

Answer

{ 3, 6 }

Question 40

What are the solutions?

(2x + 5)(5x - 2) = 0

Accepted Answer

x = -5/2, 2/5

Answer

x = -5/2, -2/5

Answer

x = 5/2, 2/5

Answer

x = 5/2, -2/5

Question 41

What are the x-intercepts?

2(x + 5)(x + 1) = 0

Accepted Answer

x = -5, -1

Answer

x = 0, 5, 1

Answer

x = 0, - 5, -1

Answer

x = 5, 1

Question 42

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

Accepted Answer

Factors

Answer

Products

Answer

Multiples

Answer

Zeros

Question 43

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

Accepted Answer

Set each binomial factor equal to zero

Answer

Plug in zero for x

Answer

Solve for x

Answer

FOIL

Question 44

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

Accepted Answer

{ -2, 3 }

Answer

{ 2, 3 }

Answer

{ -2, -3 }

Answer

{ 2, 3 }

Question 45

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

Accepted Answer

{ 1/2, -4 }

Answer

{ 1/2, 4 }

Answer

{ 2, -4 }

Answer

{ -2, 4 }

Question 46

Solve and find your x-intercepts:
0=x(x - 6)

Accepted Answer

x=0 and x=6

Answer

x=0 and x=-6

Answer

x=1 and x=-6

Answer

x=6

Question 47

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

Accepted Answer

z=0 and z=15

Answer

z=0 and z=-15

Answer

z=-15

Answer

z=15

Question 48

What are the zeros of (2x+5)(x-6)=?

Accepted Answer

-5/2, 6

Answer

-6, 5/2

Answer

6, 2

Answer

5, -6

Question 49

Solve for X:

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

Accepted Answer

{5,-6 }

Answer

{5,5 }

Answer

{ -5,-5 }

Answer

{ -5,-6 }

Question 50

Solve for x: x(x-3)(x-4) = 0

Accepted Answer

{0,3,4 }

Answer

{3,4 }

Answer

{ 0,-3,-4 }

Answer

{ }

Question 51

(4x+8)(8x-16)=0

Accepted Answer

{-2,2}

Answer

{2}

Answer

{-2}

Answer

{0,-2,2}

Question 52

Solve for x: (x - 7)(x + 2)

Accepted Answer

7, -2

Answer

-7, 2

Answer

7, 2

Answer

-7, -2

Question 53

Solve for x: (2x - 6)(x + 1)

Accepted Answer

3, -1

Answer

-6, 1

Answer

-3, 1

Answer

-3, -1

Question 54

If the answer is ZERO, what must be true?

$$xy=0$$

Accepted Answer

Either

x=0 OR y=0

Answer

Both

x=0 and y=0

Answer

x=2 and y=1/2

Answer

x=2 and y= -1/2

Question 55

Solve for x

$$5x=0$$

Accepted Answer

x=0

Answer

x=5

Answer

x=2

Answer

x= -5

Question 56

Solve for x

x+5=0

Accepted Answer

x= -5

Answer

x=0

Answer

x=5

Answer

x=2

Question 57

Solve for x

$$x-5=0$$

Accepted Answer

x=5

Answer

x=0

Answer

x=2

Answer

x= -5

Question 58

Solve for x

$$3x-6=0$$

Accepted Answer

x=2

Answer

x=0

Answer

x=5

Answer

x= -5

Question 59

Use the Zero Product Property to solve for the values of x.

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

Accepted Answer

-2 and 3

Answer

2 and 3

Answer

-2 and -3

Answer

2 and -3

Question 60

Solve using the Zero Product Property:
$$\left(3x+2\right)\left(x+1\right)=0$$

Accepted Answer

$$x=-1,\ \ x=-\frac{2}{3}$$

Answer

$$x=1,\ x=\frac{2}{3}$$

Answer

$$x=2,\ x=1$$

Answer

$$x=-1,\ \ x=\frac{2}{3}$$

Question 61

Which of the following equations matches standard form of a quadratic?

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 62

Solve for the values of x:

(2x - 1)(x + 4) = 0

Accepted Answer

x = 1/2 or -4

Answer

x = 1/2 or 4

Answer

x = 2 or -4

Answer

x = -2 or 4

Question 63

Solve for m

Accepted Answer

m=0, m= -7

Answer

m=1, m= -7

Answer

m=0, m= 7

Answer

m=-1, m= -7

Question 64

Solve for x

Accepted Answer

x=8/3 or x=3

Answer

x =8/3 or x =-3

Answer

x= -8/3 or x=-3

Answer

x= 3/8 or x=3

Zero Product Property

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