Free Printable 6A Quiz 1 Review

1.

What is the axis of symmetry?

a)

x = 2

b)

x = 6

c)

x = 3

d)

x = 0

2.

What is the vertex?

a)

(2,3)

b)

(3,2)

c)

(3,0)

d)

(0,2)

3.

What is the Vertex?

a)

( 0, 3)

b)

( 3, 0)

c)

( 0, 0)

d)

( 0, -3)

4.

Axis of Symmetry

a)

x = 0

b)

x = -3

c)

x = 3

d)

x = -9

5.

What is the Vertex?

$y=-\left(x-4\right)^2-1$

a)

( -4, -1)

b)

( 1, -4)

c)

( -1, -4)

d)

( 4, -1)

6.

What is the vertex?

$y=2\left(x-3\right)^2+6$

a)

(2, 6)

b)

(3, 6)

c)

(2, -3)

d)

(-3, 6)

7.

Which quadratic function has a vertex below the origin and opens upward?

a)

y= -x² + 3

b)

y= -x² - 1

c)

y= x² + 5

d)

y= x² - 2

8.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

9.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

10.

Which of the statements about the graph is FALSE?

Zeros = x-intercepts

a)

The vertex is a maximum

b)

There are two zeros at (-3,0) and (3,0)

c)

The y-intercept is (0, 18)

d)

The range is y ≥ 18

11.

Does the function y = (x+2)² have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Both

d)

Neither

12.

Does the function y = -1/2(x+1)² have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Both

d)

Neither

13.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

14.

Explain the translation:

y = (x + 9)² + 5

a)

translated left 9, up 5

b)

translated left 9, down 5

c)

translated right 9, up 5

d)

translated right 9, down 5

15.

Explain the translation:

y = (x + 14)²

a)

translated up 14

b)

translated down 14

c)

translated right 14

d)

translated left 14

16.

Which of the following is a transformation of the graph y = 3x².

a)

Shifts up 3.

b)

Shifts left 3.

c)

Vertical stretch by a factor of 3.

d)

Shifts right 3.

17.

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

18.

In the equation f(x)=5(x+3)²-10 what does the 5 do?

a)

Vertical stretch by 5

b)

Horizontal compress by 5

c)

Reflect

d)

Move up 5

19.

Identify the roots of the quadratic.

a)

x = {-1, 3}

b)

x = {-3}

c)

x = {1, -4}

d)

x = {1}

20.

What are the x-intercepts of the parabola?

a)

x = {0, 6}

b)

x = {-6}

c)

x = {-6, 0}

d)

x = {0}

21.

What are the solutions to the quadratic shown?

a)

x = {7, 1}

b)

x = {-4}

c)

x = {-1}

d)

x = {-7, -1}

22.

What are the zeroes of the graph?

a)

x = {-3, 1}

b)

x = {-3}

c)

x = {-8, 1}

d)

x = {-4, -2}

23.

Which of the following is true about

$f\left(2\right)=5$

a)

2 is the input

b)

5 is the independent variable

c)

there is no input

d)

5 is the input

e)

2 is the same as 5 and are both inputs

24.

Given f(x) = -2x + 10, find f(-3).

(a)

25.

Given f(x) = x² + 2x + 5, find f(-3).

(a)

26.

Given f(x) = -x + 3x + 1, find f(4).

(a)

27.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

b)

x → ∞, y→ ∞ and
x→⁻∞, y→∞

c)

None of these

d)

x →∞,y→⁻∞ and
x→∞, y→⁻∞

28.

Describe the end behavior of the graph.

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→0

d)

x →∞,y→∞ and x→⁻∞, y→⁻∞

29.

What does $x\ \rightarrow\ -\infty$ mean?

a)

Right

b)

Left

c)

Up

d)

Down

30.

What does $x\ \rightarrow\ \infty$ mean?

a)

Right

b)

Left

c)

Up

d)

Down

31.

What does $y\ \rightarrow\ -\infty$ mean?

a)

Right

b)

Left

c)

Up

d)

Down

32.

What does $y\ \rightarrow\ \infty$ mean?

a)

Right

b)

Left

c)

Up

d)

Down

33.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

34.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

35.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

$y=\frac{1}{5}x-3$

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

36.

Which of the following lines goes through the point (-3, 4) and is perpendicular to $y=\frac{3}{2}x+6$ ?

a)

$y=\frac{3}{2}\ x-6$

b)

$y=\frac{2}{3}x+3$

c)

$y=-\frac{2}{3}x-2$

d)

$y=-\frac{2}{3}x+2$

37.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

$y=-\frac{1}{3}x-5$

b)

y = 3x-29

c)

$y=\frac{1}{3}x-5$

d)

$y=-\frac{1}{3}x+1$

38.

Simplify the radical...
√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

39.

√36x³y⁴

a)

6y²x√x

b)

3y²√2x

c)

3y√x

d)

6x√3y

40.

√20x⁴y²

a)

2x²y√5

b)

2xy√5

c)

xy√2

d)

x²y√5

41.

√96p³

a)

4p³

b)

4p√p

c)

4p√6p

d)

4p√2p

42.

$\sqrt{4x^2y^4z^3}$ Simplify

a)

$2xy^2z\sqrt{z}$

b)

$2z^3\sqrt{x^7y^5}$

c)

$2xyz\sqrt{x^6y^5z^8}$

d)

$2x^3y^2z^4\sqrt{xyz}$

43.

Write the system of inequalities:
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

44.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week.

How many hours can JoAnn tutor and baby-sit and still make at least $66 per week?

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

45.

Jonah is going to the store to buy candles. Small candles cost $3.50, and large candles cost $5.00.

He needs to buy at least 20 candles and cannot spend more than $80.

Write a system of linear inequalities that represents the situation.

a)

$x+y\le20$

$3.5x+5y\ge80$

b)

$xy\ge20$
$3.5+5y\le80$

c)

$x-y\ge20$
$3.5x+5y\le80$

d)

$x+y\ge20$
$3.5x+5y\le80$

6A Quiz 1 Review

Total questions: 45

Worksheet time: 2hrs 30mins

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