Free Printable Duran Fall 2022 Final Review Alg. 2

Worksheets

Duran Fall 2022 Final Review Alg. 2

Total questions: 64

Worksheet time: 16hrs 0mins

Name

Class

Date

Which of these represents slope-intercept form?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

What is the slope of the graph?

-2

1/2

-1/2

Write in slope intercept form
5x - 3y = -9

y = (5/3)x - 3

y = (5/3)x + 9

y = (5/3)x + 3

y = (3/5)x + 3

What is the slope in the equation y=2x + 3?

Cannot be Determined

Write the equation for the line in slope-intercept form.

y= -1x+3

y= 4x+3

y=1/4x+3

y= -4x+3

What is y intercept of the equation y - 3 = 4(x - 0)

-3

-4

Write an equation
m = 1/3 through (4, 4)

y = -1/3x + 8/3

y = 8/3x - 1/3

y = 8/3x + 1/3

y = 1/3x + 8/3

What is the slope-intercept form of a line?

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

y = Ax + By

What is standard form of a line?

y = mx + b

Ax + By = C

y - y1 = m(x - x1)

y = Ax + By

10.

Which equation is written in STANDARD form?

y = 1/2x + 2

y - 3 = -5(x + 2)

-7x + 2y = 9

3x + 2 = y

11.

Which of the following are written in standard form?

y=3x-5

3x+16=5y

2/3 x + 9/13 y = 21

5x+7y=-12

12.

What is the y-intercept of
2x-5y=35?

(0,-7)

(-7,0)

(35/2, 0)

(0,35/2)

13.

Which equation matches the table?

y = x

y = 5x

y = x - 4

y = x + 4

14.

Given the table, write the equation in the slope-intercept form.

y = 1/3x + 6

y = 3x + 6

y = 2x + 6

y = 1/2x + 6

15.

Which equation matches the table?

y = 3x + 9

y = x + 9

y = x + 3

y = 12x - 3

16.

(2, - 3)

(- 2, 1)

(-2, 3)

(3, 2)

17.

(4, 2)

(-4, 2)

(4, -2)

(- 4, -2)

18.

Which graph represents a system of equations with no solution?

19.

Solve the system of equations by substitution.

(-6, 10)

(-2, 10)

(-2, 7)

(-6, 8)

20.

What is the solution to the system?

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

21.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

22.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

d + n = 6.60
.10d + .05n = 80

d + n = 80
d + n = 6.60

d + n = 80
.10d + .05n = 6.60

d + n = 80
.05d + .10n = 6.60

23.

Give the x-intercept
3x + 8y = 24

(8, 0)

(0, 8)

(3, 0)

(0, 3)

24.

Give the y-interecept
5x + y = 5

(1,0)

(0,5)

(5,0)

(0,1)

25.

what is the slope intercept form for the equation -2x + 8y = 2

y = -2x + 8

y = 1/4x + 1/4

y = -1/4x - 1/4x

y = 2/8x + 4

26.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

y = -⅕x - 5

y = -x - 5

x = 20

y = 27, 239, 430

27.

Are the points on the boundary line part of the solution set or not?

Yes, they are part of the solution set

No, they are NOT part of the solution set

28.

How can I tell if an inequality will have a solid line?

It has an equal sign.

The symbol is greater than.

The symbol has "or equal to."

You just guess.

29.

Which inequality describes this graph...

y < 3x - 2

y > 3x + 2

y < 3x + 2

y > 3x -2

30.

This is a graph of which inequality?

y > 4x - 2

y > -2x + 4

y < -2x

y < 4X - 2

31.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

Yes because it is located in the shaded region.

No because it is located on the line and the line is dotted.

Yes because it is located on the line.

No because it is in the shaded region.

32.

Describe the transformation: g(x) = f(x-1)+7

The graph moved up 7 and to the right 1

The graph moved up 7 and to the left 1

The graph moved down 7 and to the right 1

The graph moved down 7 and to the left 1

33.

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of $f\left(x\right)$ ?

translates it left one unit and down 9 units

translates it right one unit and down 9 units

translates it up one unit and right 9 units

translates it down one unit and left 9 units

34.

What type of function is shown?

linear

quadratic

square root

absolute value

35.

What type of function is shown?

absolute value

quadratic

linear

exponential

36.

Choose the correct translated function.

f(x)=|x|-2

f(x)=|x|+5

f(x)=|x-5|-2

f(x)=|x+5|-2

37.

Choose the correct translated function.

f(x)= |x|+2

f(x)= |x|-2

f(x)= -|x|

f(x)= -|x|+2

38.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Left 4

Right 4

Up 4

Down 4

39.

What is the transformation shown below:

y = IxI -5

Shifts left 5

Shifts right 5

Shifts up 5

Shifts down 5

40.

What is the vertex of the absolute value function?

(4, 0)

(0, 4)

(-infinity, infinity)

[4, infinity)

41.

What shifts have occurred?

left 1, up 5

left 1, down 5

right 1, up 5

42.

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

Left 2 up 5

Right 2 up 5

Left 2 down 5

43.

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

Shifts left 5

Shifts right 5

Shifts up 5

Shifts down 5

44.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

y = -|x + 2| - 7

y = |x - 2| - 7

y = -|x - 2| - 7

y = -|x - 2| + 7

45.