wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

STAAR Practicew

Total questions: 161

Worksheet time: 10hrs 1mins

Name
Class
Date
1.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

Apply Linear Regression Menu 6, 1, 3

a)
2/11
b)
13/2
c)
3/10
d)
11/2
2.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

Apply Linear Regression Menu 6, 1, 3

a)
0
b)
Undefined
c)
-1
d)
1
3.

Write the equation of the line in slope-intercept form through (4, 5) and (2, -1)

Apply Linear Regression Menu 6, 1, 3

a)

y = -7x - 1

b)

y = 3x - 7

c)

y = -x - 7

d)

y = 7x - 1

4.

Find the slope-intercept equation

Select any two points and apply linear regression menu 6,1,3

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

5.

Find the slope-intercept equation

Select any two points and apply linear regression menu 6,1,3

a)

y = 2x + 3

b)

y = -2x +3

c)

y = 1/2 x+3

d)

y = -1/2 x+3

6.

Find the slope-intercept equation

Select any two points and apply linear regression menu 6,1,3

a)

y = x - 2

b)

y = -x - 2

c)

y = -2x

d)

y = -2

7.

What is the slope?

Select any two points and apply linear regression menu 6,1,3

a)
1/2
b)
2
c)
7
d)
3
8.

What is the slope?

Select any two points and apply linear regression menu 6,1,3

a)
-1/3
b)
-3
c)
-4
d)
5
9.

What is the slope?

Select any two points and apply linear regression menu 6,1,3

a)
-21
b)
-17
c)
1/4
d)
4
10.
Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
11.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

12.

An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=1.5x+20 where x is the number of rides you ride. What does the y intercept (initial value) represent?

a)

Number of rides

b)

The entrance fee

c)

The cost for food

d)

The cost per ride

13.

What does the y-intercept represent on this graph?

y-int is always the beginning value

a)

starting salary is 100,000

b)

salary per day

c)

Director's salary

d)

every day is 100,000

14.

What does the slope represent on this graph?

Select any two points and do a linear regression menu 6,1,3 to find slope m

a)

starts at 0

b)

starting salary

c)

Salary per Movie

d)

highest salary

15.

Choose the best explanation to represent the data in the graph.

Select any two points and do a linear regression menu 6,1,3 to find slope m

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

16.

The average movie ticket prices in the US are represented in a table and a graph.  Based on this information, what value is closest to the average rate of change for 1990 - 2010?

The given data is not a perfect line, therefore you must enter all the numbers in the table to find your slope m by doing linear regression menu 6, 1, 3

a)
$0.03
b)
$0.18
c)
$1.48
d)
$3.67
17.

What is the average rate of change of milk prices between 1976 and 1993?

The given data is not a perfect line, therefore you must enter all the numbers in the table to find your slope m by doing linear regression menu 6, 1, 3

a)

0.29

b)
0.05
c)

1.2

d)

-4.5

18.

Which statement describes the rate of change(slope m) of the line?

Select any two points and do a linear regression menu 6,1,3 to find slope m

a)

$20 each week

b)

$30 each week

c)

$25 each week

d)

$70 each week

19.

Describe the rate of change (slope m) from the table below?

Select any two points and do a linear regression menu 6,1,3 to find slope m

a)

The water is increasing 5 feet every 2 hours

b)

The water is decreasing 5 feet every hour

c)

The water is decreasing 5 feet every 2 hours

d)

The water is staying the same level

20.

Describe the rate of change of the airplane.

Select any two points and do a linear regression menu 6,1,3 to find slope m

a)

The plane is gaining 100 feet per second

b)

The plane is losing 20 feet per second

c)

The plane is losing 20 feet every 3 seconds

d)

The plane is still on the ground

21.

Describe the average rate of change in the best way possible.

Select two given points and do a linear regression menu 6,1,3 to find slope m

a)

It went up by 60 feet in 50 seconds

b)

It went up 60 feet

c)

It went up 6 feet every 5 seconds

d)

It went up 5 feet every 6 seconds

22.

What is the meaning of the y-intercept (initial value)?

a)
Colby's initial deposit was $100. 
b)
Colby's initial deposit was $150
c)
Colby is adding $5 per week
d)
Colby is adding $10 per week
23.

The graph represents the height of a burning candle.  What is the meaning of the y-intercept (initial value)?

a)
the time it takes to burn the entire candle
b)
the rate at which the candle is losing height
c)
the change in the height of the candle each hour
d)
the original height of the candle
24.

What is the meaning of the y-intercept (initial value)?

a)
The cost per ride is $1.75
b)
The cost per ride is $5
c)
The cost to get into the fair is $5
d)
The cost to get into the fair is $1.75
25.

Is relation shown a function? Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)
YES
b)
NO
26.

Is this a function? Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)
Yes; it passes the vertical line test.
b)
No; it does not pass the vertical line test
27.

Is the relation a function?

Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)
Function
b)
Not a Function
28.

Does the graph represent y as a function of x? 

Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)
Function
b)
Not a Function 
29.

Is y a function of x?

Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)

function

b)

not a function

30.

Does the graph represent a function?

Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)

Function

b)

Not a function

31.

Does the graph represent a function?

Apply the vertical line test: Or use your pencil and vertically move it left to right and if your pencil touches the line twice at any location then if fails the vertical line test.

a)

Function

b)

Not a function

32.

Does the table represent a function or not a function?

Tables may not have repeated x values

a)

Function

b)

Not a function

c)

Maybe

33.

Does the table represent a function?

Tables may not have repeated x values

a)

yes

b)

no

c)

dont know

34.

Does the table represent a function?

Tables may not have repeated x values

a)

Yes

b)

No

35.

Does y represent a function of x?

Tables may not have repeated x values

a)
Function
b)
Not a Function
36.

Is this table a function or not a function? 

Tables may not have repeated x values

a)
Function
b)
Not a Function
37.

The following set of ordered pairs IS a function:

{(2,3) (6,1) (0,3) (4, 2)}.

How do you know?

There can not be repeated x values

a)

None of the x values repeat.

b)

None of the y values repeat.

38.

Function or not a function?

{(0,3) (2,3) (4,3) (10,3)}

There can not be repeated x values

a)

Function

b)

Not a function

39.

Function or not a function?

{(-2,3) (-4,8) (3, 1) (-2,9)}

There can not be repeated x values

a)

Function

b)

Not a function

40.

f(x)=4x+5
f(4)=

Substitute plugg in the x value into the linear equation and evaluate

a)
21
b)
-11
c)
-31
d)
25
41.

f(x)=x+3
f(-5) = ?

Substitute plug in the x value into the linear equation and evaluate

a)
-2
b)
-1
c)
-8
d)
7
42.

g(x) = 5 - 6x
Find g(-5)

Substitute plug in the x value into the linear equation and evaluate

a)
g(-5) = -25
b)
g(-5) = 6
c)
g(-5) = 4
d)
g(-5) = 35
43.

Evaluate f(-5) if f(x) = -2x - 12

Substitute plug in the x value into the linear equation and evaluate

a)
-22
b)
-2
c)
-19
d)
-5
44.

Evaluate the following function for x= 4

f(x)= 3x - 1

Substitute plug in the x value into the linear equation and evaluate

a)

f(4)= 10

b)

f(4)= 11

c)

f(4)= 6

d)

f(4)= -5

45.

Evaluate the following function for x= 3

f(x)= -2x + 8

Substitute plug in the x value into the linear equation and evaluate

a)

f(3)= 2

b)

f(3)= -4

c)

f(3)= -6

d)

f(3)= -3

46.

y = -2/3x + 2

y = 3/2x + 9

These lines are......

Graph on Desmos to see

a)

Parallel

b)

Perpendicular

c)

Neither

47.

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

Graph the given equation on desmos. Find the one answer equation that is parallel and passes through the given point

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

48.

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

Graph the given equation on desmos. Find the one answer equation that is perpendicular and passes through the given point

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

49.

Are the given lines parallel, perpendicular, or neither?

y=12x+2y=\frac{1}{2}x+2  and y=12x4y=\frac{1}{2}x-4  

Graph on Desmos

a)

Parallel

b)

Perpendicular

c)

Neither

50.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

Graph the given equation on desmos. Find the one answer equation that is perpendicular and passes through the given point.

a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
51.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

Graph the given equation on desmos. Find the one answer equation that is parallel and passes through the given point.

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

52.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

Graph on Desmos to see

a)

Parallel

b)

Perpendicular

c)

Neither

53.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

Graph the given equation on desmos. Find the one answer equation that is parallel and passes through the given point.

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

54.

Parallel lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

55.

Perpendicular lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

56.

Choose the linear equation that is perpendicular to the following line

y=14x1y=-\frac{1}{4}x-1  

Graph the given equation on desmos, and find the one equation that is perpendicular.

a)

y=14x+5y=-\frac{1}{4}x+5  

b)

y=14x1y=\frac{1}{4}x-1  

c)

y=4x1y=-4x-1  

d)

y=4x3y=4x-3  

57.

Choose the linear equation that is perpendicular to the following line

y=43x+1y=\frac{4}{3}x+1  

Graph the given equation on desmos, and find the one equation that is perpendicular.

a)

y=34x+1y=\frac{3}{4}x+1  

b)

y=34x+6y=-\frac{3}{4}x+6  

c)

y=43x+1y=-\frac{4}{3}x+1  

d)

y=43x+5y=\frac{4}{3}x+5  

58.

Solve this system of equation : (graph and identify point of intersection)

3x + y = 14

y = x - 2

a)

(0, 0)

b)

(4, 2)

c)

(2, 4)

d)

(-4, -2)

59.

Solve this system of equations: (graph and identify point of intersection)

y=52x132y=\frac{5}{2}x-\frac{13}{2}

y=32x+112y=-\frac{3}{2}x+\frac{11}{2}

a)

(1, 3)

b)

(3, 1)

c)

(13, 11)

d)

(-2, 2)

60.

What is the solution to this system of equation?

(Look at graph and identify point of intersection)

a)

(0, 0)

b)

(-2, 1)

c)

(1, -2)

d)

no solution

61.

Solve this system of equations. (graph and identify point of intersection)

y=43x+113y=-\frac{4}{3}x+\frac{11}{3}

y=4x+9y=4x+9

a)

(5, -1)

b)

(11, 9)

c)

(4, -4)

d)

(-1, 5)

62.

Find the solution of the system of equations.

(graph and identify point of intersection)

a)

(-3, -12)

b)

(-12, -3)

c)

(3, 12)

d)

(12, 3)

63.

What is the solution (point of intersection) to the system?

a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
64.

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

First give meaning to your x and y, then write your two equations.

a)
x + y = 15
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
c)
x = 2y + 44
4x = y + 15
d)
2x - 4y = 44
x - y = 15
65.

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

First give meaning to your x and y, then write your two equations.

a)
4x + 6y = 3
13.5x - 13y = 6
b)
x + y = 4
x - y = 6
c)
4x + 6y = 13
3x + 7y = 13.5
d)
4x - 6y = 13
3x - 7y = 13.5
66.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

First give meaning to your x and y, then write your two equations.

a)

11v + 3b = 283

12v + 14b = 770

b)

v + b = 14

v + b = 16

c)

11v + 12v = 283

3b + 14b = 770

d)

v + b = 30

23v + 17b = 1053

67.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

First give meaning to your x and y, then write your two equations.

a)
S + A = 530
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
68.

Solve for y:
5x + y = -10

Get the y by itslef. Work it out on paper. Do not try to do it in "your head"

a)
y = 5x + 10
b)
y = -5x - 10
c)
y = 2
d)
y = -5
69.

Solve for y: 
3x + y = 12

Get the y by itslef. Work it out on paper. Do not try to do it in "your head"

a)
y = -3x +12
b)
x = y + 4
c)
x = y + 12
d)
y = 3x -12
70.

Solve for y: 
4x + 3y = 9

Get the y by itslef. Work it out on paper. Do not try to do it in "your head"

a)
y = -3/4x + 3
b)
y = -4x + 9
c)
y = -4/3x + 3
d)
3y = -4x + 9
71.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
72.

What is the asymptote (limit as the graph goes up or down) of y = 2x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

73.

Asymptote (limit as the graph goes up or down) ?

a)
y = 2
b)
y = -2
c)
x = 2
d)
y = 0
74.
Range?
a)

y>-8

b)

y<-8

c)

All real numbers

d)

(-∞, ∞)

75.

Which equation matches the graph?

a)

y = 4x + 3

b)

y = 4x - 3

c)

y = 4x + 3

d)

y = 4x - 3

76.

What does the graph represent?

a)

Exponential Decay

b)

Exponential Growth

77.

Graph y=3on desmos and determine the y-intercept 

a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
78.

What is the domain of f(x) = 5x? Graph on desmos

a)
-∞ ≤ x ≤ ∞
b)

-∞ ≤ y

c)
x > 0
d)
y > 0
79.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
80.

What is the range of f(x) = 5x + 4? Graph on desmos

a)
-∞ ≤ x ≤ ∞
b)
-∞ ≤ y ≤ ∞
c)
x > 0
d)

y > 4

81.

What is the range of this function?

a)

{yy<0}\left\{y|y<0\right\}

b)

{yy>0}\left\{y|y>0\right\}

c)

{yy<4}\left\{y|y<4\right\}

d)

{yy>4}\left\{y|y>4\right\}

82.

Whats the horizontal asymptote (limit as the graph goes up or down) ?

a)
y=1
b)
y=0
c)
(0,-1)
d)
y=-1
83.

What is the y-intercept of the function?

a)

(0,3)

b)

(3,0)

c)

(0,-2)

d)

(-2,0)

84.
What is the range of the function shown below?
a)
0 < y < 12
b)
-2 < y < 5
c)
y > 0
d)
All Real Numbers 
85.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
86.

Graph on desmos and find the Horizontal Asymptote (limit as the graph goes up or down).

y=3(1.5)x 4y=3\left(1.5\right)^{x\ }-4

Graph on desmos

a)

y=-4

b)

y=0

c)

there is no asymptote

d)

y=1.5

87.

Graph on desmos and find the Horizontal Asymptote. (limit as the graph goes up or down)

y=2(0.5)x +3y=2\left(0.5\right)^{x\ }+3

Graph on desmos

a)

y=3

b)

y=0

c)

there is no asymptote

d)

y=0.5

88.

Select all the statements the TRUE statement about all exponential graphs.

a)

The domain is all real numbers

b)

The range is all real numbers

c)

The graphs are always growth

d)

The graphs are allways Decay

89.
What is the domain and range of the function y=2?
Use the graph to help!
a)
 Domain: −∞<x<∞
Range: y>0
b)
Domain: −∞<x<∞
Range: y>1
c)
Domain: −2<x<∞
Range: y>0
d)

Domain: −∞<x<∞
Range: y>1

90.

Simplify:
18x102x3\frac{18x^{10}}{2x^3}  

Store a value for the variable and evaluate, then find the expression that gives you the same outcome

a)

9x79x^7  

b)

9x139x^{13}  

c)

18x718x^7  

d)

2x132x^{13}  

91.

Simplify (-3x5)3

Store a value for the variable and evaluate, then find the expression that gives you the same outcome

a)

27x15

b)

-27x15

c)

-27x8

d)

-3x8

e)

-3x15

92.

Simplify

Store a value for the variables and evaluate, then find the expression that gives you the same outcome

a)
-3x4y-3
b)
-3x5y-3
c)
-3x4y2
d)
-3x5y2
93.

Which is expression is equivalent?

Store a value for the variable and evaluate, then find the expression that gives you the same outcome

a)

b)

c)

d)

94.

Consider the given function that represents the balance in a bank account.

b(x)=850(1.025)xb\left(x\right)=850\left(1.025\right)^x  

What is the initial balance in the account?

(a)  

95.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Set up equation in form y=a(1±r)t and solve/evaluate

a)
14327
b)
4309
c)
839
d)
7680
96.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

Set up equation in form y=a(1±r)t and solve/evaluate

a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
97.

Which of the following functions have a vertex at (-5, 6)?

Graph each equation and find the one with the required vertex.

a)

y = 3(x - 5)2 + 6

b)

y = 3(x + 5)2 + 6

c)

y = 3(x + 6)2 - 5

d)

y = 3(x - 6)2 - 5

98.

What is the range of the graph shown?

a)

y>3y>3

b)

y3y\ge-3

c)

y<3y<-3

d)

y3y\le3

99.

Using the graph of the quadratic function, identify the domain.

a)

y > -6

b)

-2 < x < 10

c)

-∞ < x < ∞

d)

y < -6

100.
What is the Domain?
a)
-10 ≤ y ≤ 6
b)
y ≤ 6
c)
-10 ≤ x ≤ 6
d)
All Real Numbers
101.

What is the Range?

Range is all the y values that belong to the point which make up the graph.

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

102.

What is the range?

Range is all the y values that belong to the point which make up the graph.

a)

y > 2

b)

y > -2

c)

y \ge -2

d)

y undefined 2

103.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
104.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
105.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
106.
Does the quadratic have a max/min vertex, and does the graph open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
107.
The axis of symmetry of this parabola is...
a)
y = 4
b)
y = -4
c)
x = 4
d)
x = -4
108.
What is the y-intercept?
a)
(0,0)
b)
(4,0)
c)
(0,4)
d)
(2,-2)
109.
What is the axis of symmetry?
a)
x=-1
b)
x=-2
c)
y=-1
d)
y=-2
110.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
111.
What is the green dot on this parabola called?
a)
vertex
b)
root
c)
zero
d)
solution
112.
Identify the axis of symmetry. 
a)
x=-1
b)
y=-1
c)
x=4
d)
y=4
113.
Identify the vertex of the parabola. 
a)
(4,-1)
b)
(-1,4)
c)
(0,5)
d)
None
114.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
115.
What is the axis of symmetry?
a)
x = - 4
b)
x = - 2
c)
x = 0
d)
x = 4
116.

What are the x-intercepts of the graph?

a)

(0,0) and (-3,0)

b)

(0,0) and (3,0)

c)

(2.5, 4.5)

d)

None

117.

What are the x-intercepts of the graph?

a)

(-4,0) and (0,0)

b)

(0,0) and (4,0)

c)

(-2,-2)

d)

None

118.

What is the y-intercept for this parabola? graph on desmos

y=4x2+11x20y=4x^2+11x-20

a)

(-20,0)

b)

(0,-20)

c)

(1.25,0)

d)

(-4,0)

119.

Identify the vertex and whether the graph opens up or down.

Graph on desmos and locate coordinates of vertex

a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
120.

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?

Apply transformation rules or graph on desmos and locate the coordinates of vertex

a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
121.

Which equation is graphed above?

Apply transformation rules or graph on desmos and find graph with given characteristics

a)

y=(x1)2+4y=-\left(x-1\right)^2+4

b)

y=(x1)2+4y=\left(x-1\right)^2+4

c)

y=(x4)2+1y=-\left(x-4\right)^2+1

d)

y=(x4)2+1y=\left(x-4\right)^2+1

122.

Does the graph of this equation open up or down? 
f(x) = -(x + 3)2 - 5

Graph on Desmos

a)
up
b)
down
123.

What is the axis of symmetry in a function?

a)

The transformation of the graph

b)

The vertex, represented by (h,k)

c)

A vertical line that passes through the vertex and divides the parabola in half

d)

y = h

124.

Which transformation transforms the graph of

f(x) = x2 to the graph of g(x) = (x + 4)2?

Apply transformation rules or graph on desmos and find graph with given characteristics

a)

shift 4 units up

b)

shift 4 units down

c)

shift 4 units to the left

d)

shift 4 units to the right

125.

Write the equation of this transformation: up 8

Apply transformation rules or graph on desmos and find graph with given characteristics

a)

y=(x+8)2

b)

y= x2+8

c)

y= x2-8

d)

y=8x2

126.

Write the equation of this transformation: negative parabola, left 2, down 5

Apply transformation rules or graph on desmos and find graph with given characteristics

a)

y= -(x+2)2+5

b)

y= -(x+2)2

c)

y= (x-2)2-5

d)

y= -(x+2)2-5

127.

Write the equation of this transformation: negative parabola, left 3, up 15

Apply transformation rules or graph on desmos and find graph with given characteristics

a)

y= -(x+3)2+15

b)

y= -(x+3)2 - 15

c)

y= (x+3)2+15

d)

y= -(x+15)2+3

128.

The population of a town is decreasing at a rate of 5% per year. This year there are 10,000 people in this town, how many people will be left in 20 years from now?

Set up equation in form y=a(1±r)t and solve/evaluate

a)

26,533 people

b)

358 people

c)

1 person

d)

3,585 people

129.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

Set up equation in form y=a(1±r)t and solve/evaluate

a)

12,800

b)

15,777

c)

102, 475

d)

2,500

130.

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?

Set up equation in form y=a(1±r)t and solve/evaluate

a)

$456.01

b)

$556.98

c)

$778.22

d)

$332.63

131.

In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.

Set up direct proportion equation y=kx where k is slope ( change in ychange in x\frac{change\ in\ y}{change\ in\ x} ) then substitute given value and solve for the required value.

a)
26
b)
3
c)
58.5
d)
2
132.

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

Give meaning to x and y first then

Set up direct proportion equation y=kx where k is slope ( change in ychange in x\frac{change\ in\ y}{change\ in\ x} ) then substitute given value and solve for the required outcome.

a)
$2
b)
$308
c)
$1.57
d)
$265
133.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 

Give meaning to x and y first then

Set up direct proportion equation y=kx where k is slope ( change in ychange in x\frac{change\ in\ y}{change\ in\ x} ) then substitute given value and solve for the required outcome.

a)
$394
b)
$440
c)
$472.80
d)
$512.20
134.

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

Set up direct proportion equation y=kx where k is slope ( change in ychange in x\frac{change\ in\ y}{change\ in\ x} ) then substitute given value and solve for the required outcome.

a)
26
b)
3
c)
58.5
d)
2
135.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
136.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
137.

Which point below is NOT a part of the solution set?

Solutions are located on the shaded area or on solid line.

a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
138.

Which point below is NOT part of the solution set?

Solutions are located on the shaded area or on solid line.

a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
139.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
140.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
141.

Which ordered pair makes the inequality 2x + 4y > 600 true?

substitute the x and y values into inequality, and evaluate to find TRUE solution(outcome)

a)

(50, 100)

b)

(150, 100)

c)

(200, 25)

d)

(100, 75)

142.

Which ordered pair is NOT a solution to y ≥ -x + 1?

substitute the x and y values into inequality, and evaluate to find FALSE solution(outcome)

a)
(2,1)
b)
(0,2)
c)
(-4,4)
d)
(-1,6)
143.

Which ordered pair IS a solution to y < -2x - 5

substitute the x and y values into inequality, and evaluate to find TRUE solution(outcome)

a)
(-2,1)
b)
(2,6)
c)
(2,-1)
d)
(-4,2)
144.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
145.

The solution set for a linear inequality was graphed as shown. Which of the following linear inequalities best represents this solution set?

a)

y > 3

b)

y < 3

c)

y > 3x

d)

y < -3x

e)

y > 3

146.

Which inequality below is equivalent to


3x - y > 4

Get the y by itself (remember to flip sign ONLY if you divide by negative number)

a)

y > 3x - 4

b)

y < -3x + 4

c)

y < 3x - 4

d)

y > -3x + 4

147.

Write the inequality for the graph.

a)

y >2x + 2y\ >2x\ +\ 2

b)

y < 2x + 2y\ <\ 2x\ +\ 2

c)

y  2x + 2y\ \le\ 2x\ +\ 2

d)

y  2x + 2y\ \ge\ 2x\ +\ 2

148.

Write the inequality for the graph.

a)

y  2x  2y\ \le\ -2x\ -\ 2

b)

y < 2x  2y\ <\ -2x\ -\ 2

c)

y 2x  2y\ge\ -2x\ -\ 2

d)

y > 2x  2y\ >\ -2x\ -\ 2

149.

Write the inequality for the graph.

a)

x < 2x\ <\ 2

b)

x  2x\ \le\ 2

c)

y < 2y\ <\ 2

d)

y  2y\ \le\ 2

150.

Write the inequality for the graph.

a)

x  3x\ \ge\ -3

b)

x > 3x\ >\ -3

c)

x  3x\ \le\ -3

d)

x < 3x\ <\ -3

151.

Identify the graph for the linear inequality

  y < x  2y\ <\ x\ -\ 2  

a)

b)

c)

d)

152.

Identify ALL of the solutions for the inequality.
y  2x + 1y\ \le\ 2x\ +\ 1  

substitute the x and y values into inequality, and evaluate to find TRUE solution(outcome)

a)

(3, -3)

b)

(-2, -3)

c)

(0, 0)

d)

(-4, 2)

153.

Identify the TWO solutions for the inequality.

3x  y >33x\ -\ y\ >3  

substitute the x and y values into inequality, and evaluate to find TRUE solution(outcome)

a)

(4, 0)

b)

(0, -3)

c)

(2, -3)

d)

(0, 0)

154.

Identify the graph of the following linear inequality.

4x + 6y  12-4x\ +\ 6y\ \le\ -12  

to graph on STAAR calculator you must get the y by itself (remember to flip the sign ONLY if you have to divided by a negative number)

a)

b)

c)

d)

155.

Identify the graph of the following linear inequality.

x  2y > 6x\ -\ 2y\ >\ 6  

to graph on STAAR calculator you must get the y by itself (remember to flip the sign ONLY if you have to divided by a negative number)

a)

b)

c)

d)

156.

Match the linear inequality with the following graph.

to graph on STAAR calculator you must get the y by itself (remember to flip the sign ONLY if you have to divided by a negative number)

a)

8x  6y < 128x\ -\ 6y\ <\ -12

b)

4x  3y > 64x\ -\ 3y\ >\ -6

157.

Identify which linear inequality has (4, -2) as a solution.

substitute the x and y value into inequality, and evaluate to find TRUE solution(outcome)

a)

x  4y > 4x\ -\ 4y\ >\ 4  

b)

y > 14x  1y\ >\ -\frac{1}{4}x\ -\ 1  

c)

2x + 3y > 62x\ +\ 3y\ >\ 6  

d)

6x  8y < 16-6x\ -\ 8y\ <\ -16  

158.

Identify the graph of the following linear inequality.

x  2y > 6x\ -\ 2y\ >\ 6  

to graph on STAAR calculator you must get the y by itself (remember to flip the sign ONLY if you have to divided by a negative number)

a)

b)

c)

d)

159.

Simplify
(45x6y2)(5x4y9)\frac{(45x^6y^2)}{\left(5x^4y^9\right)}

a)

9x2 y7\frac{9x^2\ }{y^7}

b)
40x2y7
c)
9x2y7
d)
9x10y11
160.

Which expression is equivalent to

3x2y106x5y4\frac{3x^2y^{10}}{6x^5y^4}

Store a value for the variable and evaluate, then find the expression that gives you the same outcome

a)

3x3y66\frac{3x^3y^6}{6}

b)

y62x3\frac{y^6}{2x^3}

c)

x3y62\frac{x^3y^6}{2}

161.

Simplify

(2z12y3x53z4y3x6)2\left(\frac{2z^{12}y^3x^5}{3z^4y^3x^6}\right)^2

Store a value for the variable and evaluate, then find the expression that gives you the same outcome

a)

4z89x\frac{4z^8}{9x}

b)

4z14y5x76z6y5x8\frac{4z^{14}y^5x^7}{6z^6y^5x^8}

c)

4z169x2\frac{4z^{16}}{9x^2}