Free Printable Practice; Solutions to quadratic equations

1.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

2.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

3.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

4.

What are the solutions to the to the quadratic function whose graph is shown below? (Select all that apply)

a)

x=-3

b)

x=2

c)

x=5

d)

Two Imaginary Solutions

e)

x=0

5.

What are the solutions to the to the quadratic function whose graph is shown below? (Select all that apply)

a)

x=-3

b)

x=2

c)

x=5

d)

Two Imaginary Solutions

e)

x=0

6.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

7.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

8.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

9.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

10.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

11.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

12.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

13.

What are the solutions?

a)

-2, 1

b)

1, 2

c)

-1,2

d)

0,-4

14.

What are the solutions to the to the quadratic function whose graph is shown below? (Select all that apply)

a)

x=-3

b)

x=2

c)

x=5

d)

Two Imaginary Solutions

e)

x=0

15.

What are the solutions to the to the quadratic function whose graph is shown below? (Select all that apply)

a)

x=4

b)

x=-4

c)

x=3

d)

Two Imaginary Solutions

e)

x=0

16.

Find the solutions as an ordered pair.

a)

(3,0) (-4,0)

b)

(-3,0) (4,0)

c)

(-2,0) (4,0)

17.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

18.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

19.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

20.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

21.

What are the zeros of the function in the graph?

a)

(-1, 0) and (1, 0)

b)

(0, -1) and (0, 1)

c)

(0, -1)

d)

(-1, 0) and (1, 0) and (0, -1)

22.

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

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

23.

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

a)

x=0 and x=-6

b)

x=1 and x=-6

c)

x=0 and x=6

d)

x=6

24.

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

25.

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

26.

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

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

27.

What are the solutions to this equation?

(x-3)(x-2)=0

a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=-3,-2

28.

What is the name of this property?

a)

Zero Exponent Property

b)

Zero Product Property

c)

Commutative Property

d)

Zero Sum Property

29.

In the equation

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

a)

Factors

b)

Products

c)

Multiples

d)

Zeros

30.

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 }

31.

What are the solutions to this equation?
(3x-2)(5x+1)=0

a)

x=5/2,-1/3

b)

x=1/5,-2/3

c)

x=1/3,-5/2

d)

x=2/3,-1/5

32.

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

a)

$r=0,\ r=-7$

b)

$r=0,\ r=7$

c)

$r=-7$

d)

$r=7$

33.

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

a)

$j=0,\ j=9$

b)

$j=0,\ j=-9$

c)

$j=9$

d)

$j=-9$

34.

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

a)

$u=2,\ u=-8$

b)

$u=-2,\ u=8$

c)

$u=2,\ u=8$

d)

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

35.

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

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)

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

36.

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

a)

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

b)

$h=8,\ h=5$

c)

$h=-8,\ h=5$

d)

$h=8,\ h=-5$

37.

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

a)

$c=-6,\ c=7$

b)

$c=6,\ c=-7$

c)

$c=6,\ c=7$

d)

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

38.

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

a)

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

b)

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

c)

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

d)

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

39.

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

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)

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

40.

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

a)

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

b)

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

c)

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

d)

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

41.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

42.

Find all the solutions for x when

x²+ 9x - 36 = 0

a)

(x + 12)(x - 3)

b)

x = 12 and x = -3

c)

x = -12 and x = 3

d)

(x - 9)(x - 4)

43.

Find the x-intercepts of the equation f(x)=x²+2x-24

a)

(4,0) (-6,0)

b)

(0,-24)

c)

(6,0) (-4,0)

d)

(5,0) (0,0)

44.

Solve by factoring.
x² + 2x - 8 = 0

a)

4 and 2

b)

4 and -2

c)

-4 and 2

d)

-4 and -2

45.

Solve by factoring.
z² - 6z - 27 = 0

a)

z = 3 or z = 9

b)

z = 3 or z = -9

c)

z = -3 or z = 9

d)

z = -3 or z = -9

46.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

47.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

48.

What should you do first to solve this equation using quadratic formula?

x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

49.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

50.

Solve by factoring:

x² - 5x - 2 = 4

a)

x = 6 or x = -1

b)

x = -6 or x = 1

c)

x = -6 or x = 5

d)

Cannot be factored

51.

Solve by factoring:

x² - 13v + 42 = 0

a)

x = -6 or x = -7

b)

x = 6 or x = -5

c)

x = 6 or x = 7

d)

x = -6

52.

Solve by factoring:

x² - 6x + 11 = 6

a)

x = 1 or x = 5

b)

x = -3 or x = -8

c)

x = 8 or x = -5

d)

x = -1 or x = -5

53.

You are given the factored equation $\left(x+8\right)\left(x-2\right)=0$ . What is the next step to solve for x.

a)

Set $x+8=0$ and $x-2=0$

b)

Nothing the solution is $x=8$ and $x=-2$

c)

Multiply $\left(x+8\right)\left(x-2\right)$

d)

Choose $x+8$ or $x-2$ and write a musical about them

54.

Solve $\left(x+2\right)\left(x-11\right)=0$ for x.

a)

$x=-2$ or $x=-11$

b)

$x=2$ or $x=-11$

c)

$x=2$ or $x=11$

d)

$x=-2$ or $x=11$

55.

Solve by factoring
$x^2+12x+35=0$

a)

x = - 5 or x = - 7

b)

x = 5 or x = 7

c)

x = - 35 or x = - 1

d)

x = - 9 or x = - 4

56.

Solve by factoring:

x^2-11x+19=-5

a)

$x=4,6$

b)

$x=-8,\ -3$

c)

$x=3,8$

d)

$x=-12,-2$

57.

Solve by factoring:

6v^2-18v-18=6

a)

$c=-2,\ 2$

b)

$c=\ -4,\ 1$

c)

$c=24,\ -1$

d)

$c\ =\ -\ 1,\ 4$

58.

Solve by factoring:

7r^2-14r=-7

a)

$r=-1,\ 1$

b)

$r=\ -7,\ 1$

c)

$r\ =-1$

d)

$r\ =\ 1$

59.

Solve by factoring:

h^2+5h-35\ =\ 3h

a)

$h=\ -5,\ 7$

b)

$h=\ 2,\ 35$

c)

$h=-7,\ 5$

d)

$h=\ -2,\ 35$

60.

Solve by factoring:

n^2+7n+15\ =\ 5

a)

$n\ =\ -5,\ -2$

b)

$n\ =\ 2,\ 5$

c)

$n\ =\ 1,\ 10$

d)

$n\ =\ -10,\ -1$

Practice; Solutions to quadratic equations

Total questions: 60

Worksheet time: 6hrs 36mins

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