Free Printable Quadratic Equations Review

1.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

2.

What causes the graph of y = x² to open downward?

a)

multiply the x² by a fraction

b)

multiply the x² by a decimal

c)

multiply the x² by a negative number

d)

multiply the x² by a number greater than 1

3.

What is the vertex?

a)

(-1,-2)

b)

(-2,-1)

c)

(-3,-1)

d)

(2,1)

4.

Which is the y-intercept of the equation?

a)

(0, -3)

b)

(43, 0)

c)

(-3, 24)

d)

(0, -43)

5.

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

6.

a)

-6, -2

b)

-2, 6

c)

2, 6

d)

-6, 2

7.

Convert x²+6x+9 to factored form and identify the solution.

a)

(x+3)(x+3); x=-3

b)

(x+4)(x+5); x=-4, -5

c)

(x-3)(x-3); x=3

d)

Not factorable

8.

Complete the Square and write in Vertex Form:
f(x) = x² + 6x + 5

a)

(x + 3)² - 4

b)

(x + 6)² - 4

c)

(x + 3x)² - 4

d)

(x + 3)² + 9

9.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

10.

What should be the next step in solving $x^2-5x+6=0$ by factoring?

a)

$\left(x-6\right)\left(x+1\right)=0$

b)

$\left(x-6\right)\left(x-1\right)=0$

c)

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

d)

Answer is not in the choices.

11.

To solve $x^2-8x=0$ by completing the square, we use _________.

a)

$x^2-8x+16=0$

b)

$x^2-8x+16=16$

c)

$x^2-8x+16=-16$

d)

Answer is not in the choices.

12.

Use the QUADRATIC FORMULA to find the solutions of:

2x^2-7x+1=0

a)

$\frac{-7\pm\sqrt{41}}{4}$

b)

$\frac{7\pm\sqrt{41}}{2}$

c)

$\frac{7\pm\sqrt{41}}{4}$

d)

$\frac{-7\pm\sqrt{57}}{4}$

13.

The solutions of the quadratic equation
$4x^{2\ }-5x-9=0$ are

a)

$x=-1\ or\ x=\frac{9}{4\ }$

b)

$x=1\ or\ x=\frac{9}{4\ }$

c)

$x=2\ or\ x=3$

d)

$x=-2\ or\ x=3$

14.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

15.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

16.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

17.

When looking at a quadratic graph, the solution(s) are always the _____________.

a)

y-intercept

b)

vertex

c)

x-intercept(s)

d)

axis of symmetry

18.

How many solutions are there?

a)

0

b)

1

c)

2

d)

3

19.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

20.

Solve by method of your choice.

x² + 10x = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

Quadratic Equations Review

Total questions: 20

Worksheet time: 57mins

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