Quiz about Algebra I - Quadratics lessons 6.1 - 6.7

Question 1

The simplified expression of (8x/4x^-3) all multiplied by 0 regarding properties of expressions is?

Accepted Answer

1

Answer

8

Answer

4x

Answer

x^-3

Question 2

What is 5/4 (4/5) 0 regarding properties of exponents? (ONLY THE 2ND TERM IS MULTIPLED BY 0)

Accepted Answer

5/4

Answer

5/0

Answer

0/4

Answer

2/2

Question 3

If a product has an x² term in it OR it is able to be written as a product of linear factors than we can classify this as...

A: Arithmetic pattern B: Geometric pattern or C: Quadratic pattern

Accepted Answer

C: Quadratic pattern

Answer

A: Arithmetic pattern

Answer

B: Geometric pattern

Answer

D: Linear pattern

Question 4

You have this table:

x: 0, 1, 2, 3, 4, 5

f(x): 14, 5, 0 , -1 , 2 , 9

(0 corresponds with 14, 1 corresponds with 5, 2 corresponds with 0 and so forth)

Is f linear, quadratic or neither?

Accepted Answer

Quadratic

Answer

Neither

Answer

Linear

Answer

Cubic

Question 5

Let g(x) = (x² - 3)(2x + 1). Is this a quadratic function? Explain why or why not

Accepted Answer

No, because it is not the product of two linear expressions

Answer

Yes

Answer

No, because it has two variables

Answer

No, because it has a cubic term

Question 6

We have this sequence:

10, -10, 9, -9, 8, -8, 7, -7, 6, -6

Is this geometric, quadratic, arithmetic or neither?

Accepted Answer

Neither

Answer

Arithmetic

Answer

Quadratic

Answer

Geometric

Question 7

Let's say that f(x) = x², which is greater f(-4) or f(3)?

Accepted Answer

f(-4)

Answer

f(3)

Answer

f(0)

Question 8

Looking at this parabola, what is the vertex?

Accepted Answer

(3, -4)

Answer

(2, -3)

Answer

(4, -3)

Answer

(0, 5)

Question 9

Looking at this parabola, what is the axis of symmetry?

Accepted Answer

x = 3

Answer

x = 5

Answer

x = 1

Answer

x = 1000000

Question 10

Can a parabola be classified as a quadratic function?

Accepted Answer

Yes

Answer

Rarely

Answer

Sometimes

Answer

No

Question 11

What is the vertex of y = (x + 5)² - 13?

Accepted Answer

(-5, -13)

Answer

(-5, 13)

Answer

(5, -13)

Answer

(0, -13)

Question 12

What is the axis of symmetry (AOS) of y = (x + 5)² - 13?

Accepted Answer

x = -5

Answer

x = -13

Answer

x = 0

Answer

x = 5

Question 13

Given the vertex (-3,-12) how can we write an equation for g(x)?

Accepted Answer

g(x) = (x + 3)² - 12

Answer

g(x) = (x + 3)² + 12

Answer

g(x) = (x - 3)² - 12

Answer

g(x) = (x - 3) - 12

Question 14

Let h(x) = (x + 3)² - 7, what two transformations were done on this parent function?

*Be specific with the transformations! Ex: Shifted up 8 and shifted right 3*

Accepted Answer

Shifted left 3 and shifted down 7

Answer

Shifted up 3 and shifted right 7

Answer

Shifted left 7 and shifted down 3

Answer

Shifted right 3 and shifted up 7

Question 15

Given the graph of this quadratic function, y = w(x) what is the vertex?

Accepted Answer

(4, 9)

Answer

None of the above

Answer

(6, 5)

Answer

(2, 5)

Question 16

Identify two x intercepts from this graph

*Remember to write it as a point! Ex: (0, 5)*

Accepted Answer

(1, 0), (7, 0)

Answer

(-1, 0), (4, 0)

Answer

(0, -3), (0, 2)

Answer

(3, 0), (-2, 0)

Question 17

What is the axis of symmetry (AOS) of this graph?

*Remember to write it as x = a number! Ex: x = 9*

Accepted Answer

x = 4

Answer

x = 0

Answer

x = 5

Answer

x = -4

Question 18

On this graph, which two values of x is w(x) = 5?

Accepted Answer

x = 2, x = 6

Answer

x = 2, x = 4

Answer

x = 0, x = 5

Answer

x = -1, x = 2

Question 19

If on this graph w(-3) = -40, what other x value gives an output of -40?

Accepted Answer

11

Answer

0

Answer

-3

Answer

5

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