Vocabulary
Coordinates
Distance
Variables
Real-World Applications
100
a) The horizontal number line is called the _____.
b) The vertical number line is called the _____.
a) x-axis
b) y-axis
100
Answer the questions using the image below.
a) What are the coordinates of the Police Station?
b) What are the coordinates of the School?
c) What are the coordinates of the Library?
a. (4, -4)
b. (2, 1)
c. (-3, -6)
100
Answer the questions using the image below.
a. What is the distance between Point E and Point A?
b. What is the distance between Point C and Point D?
c. What is the distance between Point B and Point C?
a. 7 units
b. 2 units
c. 5 units
100
Identify the independent and dependent variable in each scenario.
a) James drives m miles and used g gallons of gasoline
b) Karen makes C calls on her cell phone and has to pay D dollars at the end of the month
c) Lee answers q questions correctly in a quiz and scores M marks
a)
Independent: number of miles, m
Dependent: the amount of gas used, g gallons
b)
Independent: the amount of calls made, C.
Dependent: the amount of phone charges, D dollars
c)
Independent: the number of questions answered correctly, q
Dependent: the number of marks, M
100
Liz likes to decorate cupcakes. X represents the number of minutes decorating and Y represents the number of cupcakes made. Describe the equation below that represents this scenario. (Specifically what the 2 means)
Y = 2X
In the equation, y=2x, the 2 shows that Liz can decorate 2 cupcakes every 1 minute.
200
The two number lines intersect at the _____.
origin
200
Answer the questions using the image below.
a) Which buildings are in the third quadrant?
b) Which buildings are in the first quadrant?
a) City Hall and Library
b) School and House
200
Draw a coordinate plane and plot the following points.
A(-2, 4), B(1, 4), C(1, -3) & D(-2, -3)
Connect the points in the given order. What is the area of the figure formed in units squared?
21 units2
200
Rosie will be making brownies for her birthday party this weekend. Which statement best describes the relationship between the number of brownies made and the number of guests attending.
Option 1: The number of brownies made determines the number of guests attending.
Option 2: The number of guests attending determines the number of brownies that need to be made.
Option 2: The number of guests attending determines the number of brownies that need to be made.
200
On his birthday, Ani is four years younger than his brother, Dhruv. Let D represent Dhruv's age in years and A represent Ani's age in years.
a) Make a table to show Ani's and Dhruv's ages. Use Ani's age from 1-6
b) Write an equation to represent the relationship between their ages.
a) Ani's Age (A): 1, 2, 3, 4, 5, 6
Dhruv's Age (D) : 5, 6, 7, 8, 9, 10
b) A + 4 = D OR D - 4 = A
300
The axes divide the coordinate plane into four sections called _______.
quadrants
300
What quadrant are the following points in?
a. (-4, -5)
b. (10, 11)
c. (-2, 8)
d. (9, -20)
a. Quadrant 3
b. Quadrant 1
c. Quadrant 2
d. Quadrant 4
300
Which of the following pairs has the GREATEST distance between them?
a. (-3, -2) & (4, -2)
b. (10, -1) & (10, -6)
c. (4, -5) & (12, -5)
c. (4, -5) & (12, -5)
300
Anwi is is trying out a new recipe for lemonade! Which statement best describes the relationship between the number of lemons used and the cups of lemon juice?
Option 1: The number of lemons squeezed determines the cups of lemon juice.
Option 2: The cups of lemon juice determines the number of lemons squeezed.
Option 1: The number of lemons squeezed determines the cups of lemon juice.
300
Ms. Facchino currently has $20 in her piggy bank. To save up for a new phone, she will add $5 into her piggy bank every day.
a) Write an equation to show how much money, $y, Ms. Facchino will have in her piggy bank after x days.
b) How much money will Ms. Facchino have in her piggy days after 20 days?
a) y = 5x + 20
b) She will have $120
400
An ordered pair consists of an _________ and a _________. These values indicate the location of this point on the coordinate plane.
x-coordinate & y-coordinate
400
Write the ordered pair for each specified point.
A: (4, 4)
B: (-3, 1)
C: (-5, -1)
D: (0, -1)
E: (3, -5)
F: (5, 0)
400
What is the distance between the two points below?
(100, 500) & (100, -600)
1100 units
400
Erica is driving to Florida for a concert. Which option best describes the relationship between the number of miles driven and the cost of gas?
Option 1: The total cost of gas determines the number of miles Erica will drive.
Option 2: The number of miles driven determines the total cost of gas.
Option 2: The number of miles driven determines the total cost of gas.
400
Danny makes $20 per hour as a manager at a toy store. Danny gets paid y dollars for every x hours of work.
a) Make a table to show how much money Danny gets paid for working 1-4 hours.
b) Write an equation to show the relationship between x and y.
c) Draw a graph to represent the relationship.
*Check your answers with Ms. Facchino