Warm-Up

Name_________KEY__________ Date_________ Score________
#1
Which equation matches y = 2x + 3
a) The cost of buying two shirts after a $3 discount
b) The total amount of money you make after spending $3 on
supplies and selling for $2 per item
c) The total height of a 3 inch tree after it grows 2 inches per
month.
d) The amount of money in your bank account if you started
with $2 and make $3 per day.
#2
A car dealership calculates the total number of tires on the lot
using the function t(c)=4c where c represents the number of
cars. What is the independent quantity in this situation?
a) The number of tires
b) The number of tires per car
c) The number of cars on the lot
d) The number of cars sold
Function of the Day
y= .75x - 3
x
y
-2
-4.5
0
-3
2
-1.5
4
0
3
f(5) = .75 or 4
y intercept= -3
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
#2
Which graph shows a function with a domain of all real numbers
greater than or equal to 3?
a)
c)
b)
d)
A painter charges $32 per hour for labor plus $50 for supplies.
If the total charge was $338 how many hours did he spend
painting?
a) 5
b) 7
c) 9
d) 11
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
#2
What is the range of the graph?
a) -5 ≤ x ≤ 2
b) -2 ≤ x ≤ 2
c) -5 ≤ y ≤ 2
d) -2 ≤ y ≤ 2
If
a)
b)
c)
d)
2
f(x) = 3x + 9x, what is the value of f(12)?
116
108
70
94
Function of the Day
y-4 = -.5(x+3)
x
y
-2
3.5
0
2.5
2
1.5
4
.5
f(5) = 0
5
y intercept= 2.5 or 2
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
Which inequality is equivalent to 8x-3y>11
8
a) y < 3x 8
3
11
3
c) y < x +
#2
11
3
8
3
11
3
d) y > x +
What is the value of x in the solution to the system of equations
below?
8x+4y=4
4x-y=8
a) 1
b) -2
3
2
d) 2
c)
#3
11
3
8
b) y > 3x -
An airplane’s altitude in feet during its descent can be found using
the function f(x)= -200x + 20,000. After new government
regulations become law the descent is now modeled by the
function g(x)= -200x + 20,500. Which statement describes this
change?
a) The airplane starts its descent from an altitude 500 feet
higher.
b) The airplane starts its descent from an altitude 500 feet
lower.
c) The airplane descends 500 feet per horizontal mile faster.
d) The airplane descends 500 feet per horizontal mile slower.
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
A student needs to take 12 classes for a total of 40 credits in
order to graduate. The college offers both 3 and 4 credit
classes. How many 3 credit classes will he need?
a) 3
b) 4
c) 7
d) 8
#2
Which table represents the function f(x) = 8 - x ?
4
a)
b)
c)
d)
x
y
x
y
x
y
3
x
y
0
8
8
2
0
8
-4
11
4
5
16
-4
16
-4
0
8
8
1
20
-7
-4
12
2
4
Function of the Day
y= 3x - 4
x
y
-2
-10
0
-4
2
2
4
8
f(5) = 11
y intercept= -4
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
The value of y varies directly with x. Which function represents
18
the relationship between x and y if y =
when x = 2 4 ?
5
a) y= 15x
c) y=
#2
20
x
3
3
x
20
d) y= 6.6x
Which table shows the same relationship as y= -x2+4x
a)
c)
#3
b) y=
x
-1
4
9
y
-5
0
-40
x
-1
3
6
y
-5
4
-12
b)
d)
x
6
9
12
y
-12
-45
-90
x
4
7
12
y
0
-21
-96
There are 12 books stacked on a shelf. The thickness of each
book is either 2 or 3 inches. The height of the stack of books is
35 inches. Which system of equations can be used to determine
x, the number of 2 inch books and y, the number of 3 inch
books?
a) x+y=12
b) x+y=12
2x+3y=35
3x+2y=35
c) x+y=35
2x+3y=12
d) x+y=35
3x+2y=12
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
If the perimeter of this figure is 62 what is the value of x?
a) 4
b) -4
c) -7
d) 7
2x- 4
x+2
x+2
x
x
2x+6
#2
What is the value of x in the solution to the system of equations
below?
x=2y+3
y=2x+3
a) 1
b) -1
c) 3
d) -3
Function of the Day
4x + 3y = 9
x
y
f(6) = -5
-6
11
y intercept= 3
-3
7
0
3
3
-1
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
1
A function represented by the equation y= 3x+4 is graph on a
2
grid. What will happen to the line if the slope is changed to 3?
a) The new line will rise slower than the original line.
b) The new line will rise faster than the original line.
c) The new line will be parallel to the original line.
d) The new line will be perpendicular to the original line.
#2
Which of the following equations represents a linear function?
a) y= x2+2x+3
𝑥
b) y= 3+5
#3
c) y=
3
𝑥
+2
d) y= x3+7
What is the domain of this function?
a) ( x: -4 ≤ x ≤ 4 )
b) ( x: -4 ≤ x ≤ 3 )
c) ( x: 0 ≤ x ≤ 3.5 )
d) ( x: 0 ≤ x ≤ 4 )
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
The mapping diagram below represents all points on the graph
of function f. What is the domain of f?
x
f(x)
a) {5,6,9}
3
5
b) {3,5,7,6,9}
5
6
c) {3,5,7}
7
9
d) {5}
#2
Which table matches 4x+7y=19?
a)
b) x
x
y
y
c)
x
y
d)
x
y
-18
13
-9
2
0
5
-18
13
1
15
-5
-4
-4
-4
-11
9
4
4
-2
-7
-9
-9
-4
5
Function of the Day
y-3 = -2(x–2)
x
y
f(5) = -3
-2
11
y intercept= 7
0
7
2
3
4
-1
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
A family will travel 475 miles on their road-trip. Which inequality
can be used to find all possible values of t, the time it will take to
reach their destination, if they travel at an average speed of at
least m miles per hour?
𝑚
a) t ≤ 475m
b) t > 475
c) t ≤
#2
#3
475
𝑚
d) t > 475m
The perimeter of a rectangle is 70. The length of the rectangle
is represented by (x+3) and the width is represented by (3x-8).
What are the dimensions of the rectangle?
a) Length=10 and Width=14
b) Length=12 and Width=18
c) Length=13 and Width=22
d) Length=14 and Width=25
Which of the following equations are represented by the graph?
7
I. y= x+2
5
II. -7x-5y=10
III. y=(x-7)(x-2)
7
IV. y+5=5(x+5)
a)
b)
c)
d)
II and III
I and III
II and IV
I and IV
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
What is the value of x in the solution of the system below?
8x-4y=16
24x+3y=42
a ) .4
b) 1.7
c) 1.2
d) 1.8
#2
A student bought shoes online. The total cost, t, of the pairs of
shoes, s, can be found by the function below. If the student spent
$569.73 on shoes how many pairs did he buy?
t = 62.50s+7.23
a) 6
b) 7
c) 8
d) 9
Function of the Day
y+2 = 3(x+4)
x
y
f(5) = 25
-2
4
y intercept= 10
0
10
2
16
4
22
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
A restaurant manager begins each shift with the same amount of
money. He keeps $300 in a safe and distributes the rest evenly
to 4 cashiers.
This situation is shown by the function y =
(𝑥−300)
.
4
What does the y represent in this situation?
a) The total amount of money the manager has at the
beginning of the shift
b) The total amount of money the manager has at the end of
the shift
c) The total amount each cashier has at the beginning of the
shift
d) The total amount each cashier has at the end of the shift
#2
What is the zero of the function graphed below?
2
Zero___ ___
(0,3)
(2,0)
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}
#2
There are 7 more girls than boys in 8th grade. There is a total of
53 students in the 8th grade. How many girls are in the 8th grade?
a) 17
b) 21
c) 27
d) 30
Function of the Day
y = .5x
x
y
f(5) = 2.5
-2
-1
y intercept= 0
0
0
2
1
4
2
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
The population of a town is currently 12,000. The function
p=12,000+5t2 can be used to estimate p, the population of the
town t years from now. Based on the function, which statement
is true?
a) The town is increasing at a constant rate.
b) The population of the town will reach 12,500 people 10
years from now.
c) The population is increasing by 5 people every year.
d) The population of the town will increase and then decrease.
#2
The slope and y-intercept of graph f
were changed to make the graph of
g as shown below. Which statement
describes the changes that were
made to the graph of f to make
the graph of g ?
a) The slope was multiplied
increased by 2.
b) The slope was multiplied
decreased by 2
c) The slope was multiplied
increased by 2
d) The slope was multiplied
decreased by 2
g
f
by -1.5 and the y intercept was
by -1.5 and the y intercept was
by -0.5 and the y intercept was
by -0.5 and the y intercept was
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
Which inequality is equivalent to 4x + 2y < 4y + 6
a) y < -2x - 3
b) y > -2x - 3
c) y > 2x - 3
d) y < 2x - 3
#2
Two functions are given below. How do they compare?
f(x) = -3x + 1
g(x) = -3x + 4
a) f(x) is less steep than g(x)
b) f(x) has the same y-intercept as g(x)
c) f(x) is translated 3 units down from g(x)
d) f(x) is translated 3 units up from g(x)
Function of the Day
3y = 6x
x
y
f(5) = 10
-2
-4
y intercept= 0
0
0
2
4
4
8
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
#2
If y is a function of x in y=2x-4 which of the following
statements is true?
a) The independent variable, y, is 4 less than 2 times the
dependent variable, x.
b) The dependent variable, y, is 4 less than 2 times the
independent variable, x.
c) The independent variable, x, is 4 less than 2 times the
dependent variable, y.
d) The dependent variable, x, is 4 less than 2 times the
independent variable, y.
In the equation 8-4(7x-3)=100 what is the value of x?
−7
6
a) 20
c) -2 7
b) -3
#3
2
7
d)
−22
7
Which of the following best
describes the number solutions to
the systems of equations
represented by this graph?
a) One Solution
b) Two Solutions
c) Infinite Solutions
d) No solutions
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
The measure of an acute angle is represented by (3x + 26). which
is not a possible value for x? (Circle all that apply)
a) 10
b) 20
c) 30
d) 40
#2
A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game
Function of the Day
.5y = 1.5x - 2
x
y
-2
-10
0
-4
2
2
4
8
f(5) = 11
y intercept= -4
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
You have a job that pays $19 for each hour you work. You
are required to work between 20 and 40 hours per week. The
function y =19x for 20 ≤ x ≤ 40 shows the relationship between
the hours you work and your weekly pay. What is the domain
and range of this function?
a) Domain: 20 ≤ x ≤ 40
Range: 0 ≤ y ≤ 380
b) Domain: 20 ≤ x ≤ 40
Range: 380 ≤ y ≤ 760
c) Domain: 0 ≤ y ≤ 380
Range: 20 ≤ x ≤ 40
d) Domain: 380 ≤ y ≤ 760
Range: 20 ≤ x ≤ 40
#2
Which of the following describes the graph of the function
f(x)=x2+x-12?
a) It opens up with intercepts at (-3,0) and (4,0)
b) It opens up with intercepts at (3,0) and (-4,0)
c) It opens down with intercepts at (-3,0) and (4,0)
d) It opens down with intercepts at (3,0) and (-4,0)
#3
The table below shows ordered pairs of a linear function. Based
on this data what is the slope of the line?
a) .5
X
0
5
10
15
b) 1.5
Y
-9
1.5
12
22.5
c) 2.1
d) 3.1
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
The mass of a liquid varies directly with the volume. The volume of
80 grams of the substance is 3 gallons. What is the volume of 93.7
grams of the substance?
a) 3.3 gallons
b) 3.5 gallons
c) 31.2 gallons
d) 36.7 gallons
#2
What is the solution to -6x - 7y < 200 when y=13?
a) x > -48.5
b) x > 48.5
c) x < -48.5
d) x < 48.5
Function of the Day
40x + 30y = 150
x
y
f(6) = -3
-6
13
y intercept= 5
-3
9
0
5
3
1
©Amazing Mathematics
Name_________KEY__________ Date_________ Score________
#1
#2
Which graph best represents a systems of equations that has no
solution?
a)
c)
b)
d)
Which of the following best describes the correlation for the
data?
140
120
a)
b)
c)
d)
Positive Correlation
Negative Correlation
Non-Linear Correlation
No Correlation
100
80
60
40
20
0
0
20
40
60
80
100
©Amazing Mathematics