Free Printable Math 2 Review Day 1

1.

Which of these is not a form of quadratic equation?

a)

Standard Form

b)

Quadratic Formula

c)

Vertex Form

d)

Factored Form

2.

If you were looking for the solutions, which form is the most convenient?

a)

Standard Form

b)

Vertex Form

c)

Factored Form

d)

None of These

3.

If you were looking for the y-intercept, which form is the most convenient?

a)

Standard Form

b)

Vertex Form

c)

Factored Form

d)

None of These

4.

Which of these is used to perform the discriminant and/or Quadratic Formula?

a)

Standard Form

b)

Vertex Form

c)

Factored Form

d)

None of These

5.

If you were trying to identify transformations, which form is the most convenient?

a)

Standard Form

b)

Vertex Form

c)

Factored Form

d)

None of These

6.

In the vertex form $y\ =\ a\left(x-h\right)^2+k$ Where is the vertex?

a)

(h, k)

b)

(-h, k)

c)

(h, -k)

d)

(-h, -k)

7.

Which of these goes with each form?

There are 2 Standard Forms. Put the answer choices that alphabetically come first or second to get this correct.

a)

Standard Form

(second)

1.

Vertical Motion Model is a type of this.

b)

Factored Form

2.

Also known as intercept form.

c)

Vertex Form

3.

CANNOT distribute coefficient for this!

d)

Standard Form

(first)

4.

Used for quadratic formula & discriminan

8.

To find the vertex from Factored Form:

(reorder the steps)

a)

Use the midpoint formula on the roots

b)

Solve & you have the x-value.

c)

Plug this value into the original equation.

d)

Solve & you have the y-value.

1)

2)

3)

4)

9.

In Standard Form, the shortcut (a) can be used to quickly find the (b) .

You (c) plug into the equation & solve to find the entire vertex.

Choose from the below words

(-b) / (2a)

STILL NEED TO

a

x-value

DO NOT NEED TO

y-value

(-a) / (2b)

(-2b) / (a)

(-2a) / (b)

y-intercept

10.

You need to know the vertex to state the (a) which comes from the x value of your vertex.

You also need to know the Vertex to state the (b) which comes from the y value of your vertex.

Choose from the below words

Axis of Symmetry

Range

a

y-intercept

Domain

11.

Vertex Form to Standard Form: First: (a) to expand the base. Second: (b)

Third: (c) . Now you have standard form!

Choose from the below words

Add the constant.

Difference of Squares

Divide by coefficient

Subtract the constant

Sum of Squares

Distribute the coefficient.

Find the factors

12.

Factored Form to Standard Form: First: (a) the factors. Second: (b)

Third: (c) when possible. Now you have standard form!

Choose from the below words

Simplify.

Divide

Divide by coefficient

Remove the GCF

Distribute the coefficient.

Factor to get

Multiply

13.

Factored Form to Vertex Form: First: (a) to find the vertex. Second: Fill in the vertex but subtract the (b)

Third: (c) for any stretch/compression/GCF . CHECK YOUR WORK! Now you have vertex form!

Choose from the below words

Write a Coefficient

Divide

Divide by coefficient

Remove the GCF

x-value

Factor

Midpoint

y-value

(-b) / 2a

Simplify

14.

Standard Form to Vertex Form: First: (a) to find the vertex. Second: Fill in the vertex but subtract the (b)

Third: (c) for any stretch/compression/GCF . CHECK YOUR WORK! Now you have vertex form!

Choose from the below words

Write a Coefficient

Divide

Divide by coefficient

Remove the GCF

x-value

Factor

(-b) / (2a)

y-value

Midpoint

Simplify

15.

Standard Form to Vertex Form: First: (a) to find the vertex. Second: Fill in the vertex but subtract the (b)

Third: (c) for any stretch/compression/GCF . CHECK YOUR WORK! Now you have vertex form!

Choose from the below words

Write a Coefficient

Divide

Divide by coefficient

Remove the GCF

x-value

Factor

(-b) / (2a)

y-value

Midpoint

Simplify

16.

To get factored form: If the equation is in vertex form, convert to (a) and factor! If it is already in standard form, just (b) !

OR: Find the (c) and work backwards to write the factors! Double check for (d)

Choose from the below words

Divide

Divide by coefficient

Multiples

Factor

Standard

y-intercept

Slope-Intercept

Simplify

GCF's

roots (solutions)

17.

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

18.

A quadratic functions is defined as:

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

What is the equation of the parabola in standard form?

(a)

Choose from the below words

$f\left(x\right)=x^2-8x^2+19$

$f\left(x\right)=x^2-8x-13$

$f\left(x\right)=x^2-4x+19$

$f\left(x\right)=x^2-4x-13$

$f\left(x\right)=x^2+8x+19$

19.

The function f is defined by, $f(x)=(x−5)^2−20$ . What is the range of f?

Select from the drop-down menus to correctly complete the sentence.

The range of f is all real numbers (a) (b)

Choose from the below words

greater than or equal to

-20

Greater than

Less Than

Less Than or Equal to

5

-5

20

20.

What are the coordinates of the vertex of $g\left(x\right)=\left(x-3\right)^2-9$ ?

STRATEGY: Graph and Click

Hint: Do you notice the numbers that you found in the equation?

( (a) , (b) )

Choose from the below words

3

-9

0

-3

9

21.

What is -16 in the vertical motion model?

a)

Velocity

b)

Gravity

c)

Time

d)

Starting height

22.

When does gravity become -4.9 in the vertical motion model?

a)

On the moon

b)

In feet per second

c)

In miles per hour

d)

In meters per second

23.

Given

$h\left(t\right)=-16t^2+27t+12$

What is the velocity? (a)

What is the starting height? (b)

Choose from the below words

27

12

-16

24.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

25.

$5x^2+3x-3=0$

a)

$\frac{-3\pm i\sqrt{51}}{10}$

b)

$\frac{-3\pm\sqrt{69}}{10}$

c)

$\frac{3\pm\sqrt{69}}{2}$

d)

$\frac{-3\pm3\sqrt{23}}{10}$

26.

Write a quadratic equation in standard form with the given roots: 1, 7

a)

x² - 6x - 7

b)

x² + 8x + 7

c)

x² - 8x + 7

d)

x² + 6x - 7

27.

Suppose that the equation V = 20.8x² – 458.3x + 3,500 represents the value of a car from 1964 to 2002. What year did the car have the least value? (x = 0 in 1964)

a)

1965

b)

1970

c)

1975

d)

1980

28.

$\sqrt[]{-1}$

a)

Not possible

b)

i

c)

-1

d)

1

29.

$i^2$

a)

-1

b)

1

c)

i

d)

-i

30.

$i^3$

a)

-1

b)

1

c)

i

d)

-i

31.

$i^4$

a)

-1

b)

1

c)

i

d)

-i

32.

Match the decimal remainder (after dividing the exponent by 4) to the corresponding value

a)

0.25

1.

i

b)

0.5

2.

-1

c)

0.75

3.

-i

d)

Whole number

4.

1

33.

$i^{21}$

a)

-1

b)

1

c)

i

d)

-i

34.

$i^{36}$

a)

-1

b)

1

c)

i

d)

-i

35.

$i^{45}$

a)

-1

b)

1

c)

i

d)

-i

36.

$i^{235}$

a)

1

b)

-1

c)

i

d)

-i

37.

Simplify $\left(2i\right)\left(3i\right)$

38.

Simplify $\sqrt[]{-100}$

(a)

Math 2 Review Day 1

Total questions: 38

Worksheet time: 44mins

Similar Resources on Wayground