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Worksheets

Review Quadratics

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

What is the value of a in this equation?  y=14x2+4x7y=14x^2+4x-7  

a)

14

b)

4

c)

-7

d)

1

2.

What is the value of b in this equation?  y=14x2+4x7y=14x^2+4x-7  

a)

14

b)

4

c)

-7

d)

1

3.

What is the value of c in this equation?  y=14x2+4x7y=14x^2+4x-7  

a)

14

b)

4

c)

-7

d)

1

4.

What does the a value in a quadratic equation tell us?

a)

Whether that parabola is wide or narrow

b)

Whether the parabola opens up or down

c)

Where the parabola crosses the y-axis

d)

Whether the parabola is shifted left or right on the x-axis

5.

What does the sign (positive or negative) of the a in a quadratic equation tell us?

a)

Whether that parabola is wide or narrow

b)

Whether the parabola opens up or down

c)

Where the parabola crosses the y-axis

d)

Whether the parabola is shifted left or right on the x-axis

6.

What does the value of b tell us in an quadratic equation?

a)

Whether that parabola is wide or narrow

b)

Whether the parabola opens up or down

c)

Where the parabola crosses the y-axis

d)

Whether the parabola is shifted left or right on the x-axis

7.

What does the value of c tell us in an quadratic equation?

a)

Whether that parabola is wide or narrow

b)

Whether the parabola opens up or down

c)

Where the parabola crosses the y-axis

d)

Whether the parabola is shifted left or right on the x-axis

8.

How would you expect the graph of this equation to look?  y=100x2+100x+100y=100x^2+100x+100  

a)

A very wide parabola shifted far to the left and with a y-intercept at 100

b)

A very narrow parabola shifted far to the left and with a y-intercept at 100

c)

A very narrow parabola shifted far to the right and with a y-intercept at 100

d)

A very wide parabola shifted far to the left and with a y-intercept at 100

9.

Where does this parabola cross the y-axis? y=17x24x3y=17x^2-4x-3  

a)

4

b)

-4

c)

3

d)

-3

10.

Factor this equation. x25x6x^2-5x-6  

a)

 (x2)(x3)\left(x-2\right)\left(x-3\right)  

b)

 (x2)(x+3)\left(x-2\right)\left(x+3\right)  

c)

 (x1)(x6)\left(x-1\right)\left(x-6\right)  

d)

 (x+1)(x6)\left(x+1\right)\left(x-6\right)  

11.

Factor this equation.  x22x35x^2-2x-35  

a)

 (x5)(x7)\left(x-5\right)\left(x-7\right)  

b)

 (x+5)(x7)\left(x+5\right)\left(x-7\right)  

c)

 (x5)(x+7)\left(x-5\right)\left(x+7\right)  

d)

 (x+5)(x+7)\left(x+5\right)\left(x+7\right)  

12.

Where will this equation cross the x-axis? y=x2+3x+2y=x^2+3x+2  

a)

2 and 1

b)

-2 and 1

c)

2 and -1

d)

-2 and -1

13.

Where will this equation cross the x-axis? y=x28x+16y=x^2-8x+16  

a)

2 and 8

b)

-2 and -8

c)

only 4

d)

only -4

14.

What is the y-intercept of this equation? y=x24x+4y=x^2-4x+4  

a)

1

b)

-4

c)

4

d)

doesn't have one

15.

Factor and find the roots of this equation. y=x24x+4y=x^2-4x+4  

 

a)

2 and -2

b)

only 2

c)

only -2

d)

no roots

16.

What is the axis of symmetry of this equation? y=x24x+4y=x^2-4x+4  

a)

x=2

b)

x=-2

c)

x=0

d)

there isn't one

17.

What is the y-intercept of this equation? y=(x1)2+2y=\left(x-1\right)^2+2  

a)

1

b)

-1

c)

2

d)

-2

18.

Does the parabola of this equation have a maximum or a minimum? y=(x1)2+2y=\left(x-1\right)^2+2  

a)

maximum

b)

minimum

c)

neither

d)

both

19.

What is the axis of symmetry of this equation? y=(x1)2+2y=\left(x-1\right)^2+2  

a)

x=1

b)

x=-1

c)

x=2

d)

x=-2

20.

Where is the vertex of this equation? y=(x1)2+2y=\left(x-1\right)^2+2  

a)

(1,2)

b)

(1,0)

c)

(2,1)

d)

(2,0)