Free Printable Am I ready for this quadratics test?

1.

The first step to solving quadratics by factoring is to....

a)

isolate the x² or the (x - h)².

b)

move everything to one side and set it equal to zero.

c)

get the x² + bx on one side and set it equal to the constant.

d)

move everything to one side and set it equal to zero so you can find a, b and c values.

2.

The first step to solving quadratics by completing the square is to....

a)

isolate the x² or the (x - h)².

b)

move everything to one side and set it equal to zero.

c)

get the x² + bx on one side and set it equal to the constant.

d)

move everything to one side and set it equal to zero so you can find a, b and c values.

3.

The first step to solving quadratics by quadratic formula is to....

a)

isolate the x² or the (x - h)².

b)

move everything to one side and set it equal to zero.

c)

get the x² + bx on one side and set it equal to the constant.

d)

move everything to one side and set it equal to zero so you can find a, b and c values.

4.

The first step to solving quadratics by taking square roots is to....

a)

isolate the x² or the (x - h)².

b)

move everything to one side and set it equal to zero.

c)

get the x² + bx on one side and set it equal to the constant.

d)

move everything to one side and set it equal to zero so you can find a, b and c values.

5.

When solving by completing the square, which is NOT a step.

a)

\left(\frac{b}{2}\right)^2

should be added to each side.

b)

take the square root of each side and find the postitive and negative root.

c)

isolate the $x^2$ .

d)

solve for x.

6.

When solving by taking square roots, which is NOT a step.

a)

Isolate the x².

b)

Take the square root of each side finding the positive and negative root.

c)

Simplify the radical.

d)

Divide by 2.

7.

When using the quadratic formula, which is NOT a step.

a)

Find the values of a, b and c.

b)

Plug everything into the equation

x\ =\ \frac{-b\pm\sqrt{b^{2\ }-\ 4ac}}{2a}

c)

Plug everything into the equation $x\ =\ -b\pm\frac{\sqrt{b^{2\ }-\ 4ac}}{2a}$

d)

do the computations in the formula.

e)

simplify the radical.

8.

What is a good first step when simplifying radicals.

a)

Divide by 2.

b)

Find a perfect square that goes into the value.

c)

Cut the number under the radical in half.

d)

Put it into a calculator.

9.

When will you get an imaginary number?

a)

When the value under the radical is positive.

b)

When the value under the radical is negative.

c)

When there is a negative outside the radical.

d)

When the value under the radical is not a perfect square.

10.

\sqrt{-1}

=?

a)

-1

b)

1

c)

$i$

d)

$-i$

11.

$i^2$ =?

a)

1

b)

-1

c)

$i$

d)

$-i$

12.

Which is NOT true when solving quadratics?

a)

We are finding the roots.

b)

We are finding the x-intercepts.

c)

We are finding the zeros.

d)

We are finding the y-intercept.

13.

When graphing a quadratic transformation, which is NOT true.

a)

The "a" determines the size & direction.

b)

The "k" is always the y-intercept.

c)

The "h" is the horizontal movement.

d)

The "k" is the vertical (vertikal) movement.

14.

Find an equation that is narrow and faces down.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

15.

Find an equation that is wide and shifts 4 down.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

16.

Find an equation that shifts 4 right and 3 up.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

17.

Choose all the graphs that are narrower than the parent graph.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

18.

Choose all the graphs that shift to the left.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

19.

Choose the graph that shifts to the right AND opens downward.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

20.

Choose the graph that is wider than the parent graph and shifts 3 left and 4 down.

a)

$y\ =\ -2\left(x+4\right)^{2\ }-3$

b)

$y\ =\ -\ \frac{1}{2}\left(x\ -4\right)+3$

c)

$y\ =\ 2\left(x-3\right)+4$

d)

$y\ =\ \frac{1}{2}\left(x+3\right)-4$

21.

How would you solve this quadratic?

x^{2\ }+4\ =\ 27

a)

Factoring

b)

Completing the square

c)

Taking square roots

d)

Quadratic formula

22.

How would you solve this quadratic?

x^{2\ }+4x\ =\ 27

a)

Factoring

b)

Completing the square

c)

Taking square roots

d)

Quadratic formula

23.

How would you solve this quadratic?

x^{2\ }+3x\ -54=0

a)

Factoring

b)

Completing the square

c)

Taking square roots

d)

Quadratic formula

24.

How would you solve this quadratic?

5x^{2\ }+3x\ +4=0

a)

Factoring

b)

Completing the square

c)

Taking square roots

d)

Quadratic formula

25.

Are you ready for this test?

a)

Absolutely!

b)

I feel confident but I still need to review.

c)

I need to do some more practice and go through my notes.

d)

I will be in office hours the next two days to get ready.

Am I ready for this quadratics test?

Total questions: 25

Worksheet time: 50mins

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