Download Pre Assessment: Linear Equations Directions: Choose the letter that

Pre Assessment: Linear Equations
Directions: Choose the letter that best answers each question. Indicate the letter of your
choice on the Scantron.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Quiz: Writing the Equation of a Line
Name ___________________________
Score:
Class __________
Date _____________
/ 5
Directions: Answer the question below completely. Show all necessary work and clearly
indicate your answer(s).
Part A:
What is the equation of the line shown below? (3 points)
Part B:
Explain the process of how you determined this equation. (2 points)
Quiz: Explaining the Meaning of a Linear Function in Context
Name ____________________________
Score:
Class __________
Date _____________
/ 5
Directions: Answer the question below completely. Show all necessary work and clearly
indicate your answer(s).
Part A:
Write a linear function to model the relationship between the gallons of water consumed,
g, and the temperature, t. (3 points)
Part B:
Explain the meaning of the slope in the context of the problem. (2 points)
Louis Pasteur Middle School 67
Mr. Wieckhorst
8th Grade Mathematics
Test Outline: Linear Equations
* Please review, sign, and return this outline by the date of the exam. If you cannot print
this form, you must return a letter stating that it was read by both the student and a
parent or guardian.
Test Date: Thursday, 9/26/13
Test Format: Worth 50 total points
Part I: Multiple Choice (5 questions, 4 points each)
Part II: Extended Response (5 questions, 30 points total)
Test Topics:
Definition of a Function
Calculating Slope
Graphing a Line in any form
Writing the Equation of a Line
Comparing Rates of Change
Solving Equations After Substitution
Explaining Equations and Slopes in Contextual Situations
Parallel Lines and their Equations
Complete the attached review sheet, and then review your solutions with the ones given.
If you have any questions, please e-mail [email protected]
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Test: Linear Equations
Student Name ___________________________________
Class __________
Parent/Guardian Signature ____________________________________
Review Sheet
Linear Equations
1.
2.
Which graph below does not represent a function?
a)
b)
c)
d)
A line is graphed below
Which choice represents a linear function with a greater rate of change than the
line graphed above?
a)
y = 3/2 x + 5
3.
b)
x
y
2
6
4
8
6
10
c)
x
y
3
5
9
10
15
15
d)
y = -1 + 3x
8
12
Function A: The value of y is 2 less than three times x
Function B:
Which statement about Function A and Function B is true?
a) Function A and Function B have the same rate of change
b) Both functions have a negative rate of change
c) Function A has a greater rate of change
d) Function B has a greater rate of change
4.
Solve for n:
11.75 = 2.5n + 4.25
a) 6.4
b) 3
c) 4.7
d) 2.76
5.
Which equation is parallel to y = 3 – 2x?
a) 4x + 2y = 5
b) 2x + 4y = 1
c) y = 3 – 4x
d) y = 4x – 2
6.
a. Write the equation of the line passing through the points (-3,7) and (3,3)
b. Write the equation of the line passing through the points (-2,-5) and (7,-5).
7.
Graph -5x + 3y = -18 on the grid below
8.
Webmovie, an online movie rental service, uses the equation c(m) = 0.25m + 10
to show the cost of membership as a function of the number of movies rented.
Explain what the slope and y-intercept mean in context of this situation.
9.
Nancy is having a birthday party for her son. As part of the party, she rents a
moon bounce for $50 plus $10 per hour. All taxes and other charges are included.
a. Represent the total cost of the moon bounce, t, as a function of hours used, h.
b. How much will Nancy pay, in total, for a 4-hour party?
10.
Which function below has the greatest rate of change? Do any of the functions
have the same rate of change? Justify your answer.
Answers
1. b
2. d
3. a
4. b
5. a
6.
a. y = -2/3 x + 5
b. y = -5
7.
8. (Possible answer) The slope, 0.25, represents the cost of each movie rental. The yintercept, 10, could represent the initial charge for joining the service.
9.
a. t = 10h + 50
b. $90
10.
Function I has the greatest rate of change, 2. Functions II and III both have a rate
of change of 3/2.
Mr. Wieckhorst
Test (30 Minutes): Linear Equations
Name ____________________________
Score:
Directions:
Louis Pasteur Middle School 67
Class __________
Date _____________
/ 50
Part I: Circle the letter of the choice that best answers each question.
Part II: Show all necessary work and clearly indicate your answers.
Part I: Multiple Choice (4 points each, 20 points total)
1.
Four graphs are drawn below. Which one does not represent a function of x?
2.
The graph of a function is shown on the coordinate plane below.
Which relation represents a function with a greater rate of change than the line
shown in the graph?
3.
Madison created two functions.
For Function A, the value of y is two less than four times the value of x.
The table below represents Function B.
In comparing the rates of change, which statement about Function A and Function
B is true?
4.
A company uses the equation c = 9.5h + 30 to represent the cost in dollars, c, of
renting a boat per hour, h. John and Sue went on a boat ride and ended up
spending a total of $77.50. For how many hours did John and Sue rent the boat?
A) 766.25 hours
B) 5 hours
C) About 8.15 hours
D) About 11 hours
5.
Which equation represents a line that is parallel to the line whose equation is
2x – 3y = 9?
A)
B)
C)
D)
Part II: Extended Response: (30 points total)
6.
Write the equation of the line in each situation (3 points each)
a. Passing through the points (-3,1) and (3,-3)
b.
7.
Graph the line 4x – 3y = 12 on the coordinate plane below. (5 points)
8.
Craig’s Car Rental uses the equation p = 12.5d + 55 to represent the price in
dollars, p, for renting a car a certain number of days, d.
Explain what the slope and y-intercept mean in terms of this situation. (5 points)
9.
Fitness Universe charges a one-time membership fee of $50 to sign up to work
out at the gym. For each month, members pay $25 for unlimited workouts.
a.
Represent the price of membership, f(x), as a function of the number of
months as a member, x. (3 points)
b.
Determine the cost of being a member of Fitness Universe for one year.
(3 points)
10.
Of the four linear functions represented below, which has the greatest rate of
change? Explain in words how you found your answer. (8 points)
(Use this page for scrap)