Free Printable G9 2nd Summative Test

1.

The graph of a quadratic function is called a

a)

line

b)

parabola

c)

half oval

d)

vertex form

2.

the turning point of the parabola

a)

Parabola

b)

Axis of Symmetry

c)

Vertex

d)

Solutions

3.

the line through the parabola so that each side is a mirror image

a)

Vertex

b)

Maximum

c)

Axis of Symmetry

d)

Maximum

4.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

5.

The minimum of a quadratic function is

a)

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

b)

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

6.

The maximum of a quadratic function is

a)

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

b)

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

7.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

8.

Find the missing value "c" to create a perfect square trinomial:
x² – 8x + ___

a)

-4

b)

16

c)

4

d)

8

9.

The standard form of a quadratic equation is

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

10.

Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - 3x²

c)

f(x) = 3x³- 4x² + 5

d)

f(x) = 3x + 5

11.

f(x) = 3x² - 4 is a quadratic function

a)

true

b)

false

12.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

13.

Does the equation open or or down?

y = -3x² +7x - 2

a)

up

b)

down

14.

A type of variation that involves 3 or more quantities that may vary directly.

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

15.

This type of variation states that the two quantities increase at the same time or decrease at the same time.

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

16.

Which of the following types of variation states that the decrease of one quantity results to the increase of the other quantity?

a)

Direct Variation

b)

Inverse Variaton

c)

Joint Variation

d)

Combined Variation

17.

This is a variation where one quantity varies directly to other quantity and inversely to the other quantity.

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variaiton

d)

Combined Variation

18.

Is this a direct variation? y =2x + 1

a)

Yes

b)

No

19.

Is this a direct variation?
y=2x

a)

yes

b)

no

20.

Is this a direct variation?

a)

yes

b)

no

21.

Does the table show an inverse variation?

a)

Yes

b)

No

22.

What kind of variation is shown in this graph?

a)

Inverse

b)

Direct

23.

What kind of variation is shown in the graph?

a)

Direct

b)

Inverse

24.

3. What is the constant of variation in the equation n = 8x?

a)

A. x

b)

B. n

c)

C. 8

d)

D. 8x

25.

TRUE or FALSE. The graph of direct variations is a linear function.

a)

TRUE

b)

FALSE

26.

Is the given table a direct variation? If so, what is the constant of variation?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

27.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

28.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

29.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

30.

Simplify . Your answer should contain only positive exponents. $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$

a)

$\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$

b)

$a^{\frac{1}{2}}b^{\frac{1}{2}}$

c)

$-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$

d)

$-a^{\frac{1}{2}}b^{\frac{1}{2}}$

31.

Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$

a)

$1$

b)

$\frac{x^{\frac{5}{3}}}{y^2}$

c)

$x^{\frac{5}{3}}y^2$

d)

$\frac{y^2}{x^{\frac{5}{3}}}$

32.

Simplify . Your answer should contain only positive exponents. $\frac{a^2b^0}{3a^4}$

a)

$1$

b)

$\frac{1}{3a^2}$

c)

$\frac{a^2}{3a^4}$

d)

$\frac{1}{3a^4}$

33.

Simplify . Your answer should contain only positive exponents. $\frac{\left(m^2n^{\frac{1}{2}}\right)^0}{n^{\frac{3}{4}}}$

a)

$1$

b)

$n^{\frac{3}{4}}$

c)

$\frac{1}{n^{\frac{3}{4}}}$

d)

$\frac{1}{n^{\frac{4}{3}}}$

34.

2⁵ is the same as 2 x 5.

a)

True

b)

False

35.

What is the exponent form for
6?

a)

6⁰

b)

6¹

36.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

37.

Simplify

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

38.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

39.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

40.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

41.

Which of the following is an expression in rational exponent?

a)

1/2²

b)

4^1/2

c)

2/3^-2

d)

5⁰

42.

What is this symbol called: $\sqrt{4}$ (ignore the 4)

a)

radical

b)

radicand

c)

square root

d)

root

43.

The 4 or anything under the symbol $\sqrt{4}$ is called

a)

radical

b)

radicand

c)

root

d)

index

44.

a)

7²

b)

7^1/2

c)

7^-2

d)

7^-1/2

45.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

46.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

47.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

48.

a)

(5x)^-2/1

b)

(5x)^2/1

c)

(5x)^-1/2

d)

(5x)^1/2

49.

Write as a radical expression y²^/³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

50.

a)

2

b)

3

c)

4

d)

5

G9 2nd Summative Test

Total questions: 50

Worksheet time: 2hrs 40mins

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