8TH GRADE LINEAR ALGEBRA FOCUS 8 ASSESSMENT BANK
THIS IS NOT A UNIT TEST
1) (8.F.A.3) Give two examples of non-linear functions. Explain why each example is a non-linear
function.
2) (8.F.A.3) Which of the following can be the graph of an equation of the form y = mx + b? Explain
how you arrived at your answer.
3) (8.F.B.5) Jasper locked his bike and walked at a steady pace for 10 minutes until he reached a
creek, a distance of 800 meters from his bike. Jasper stayed at the creek for 20 minutes, then
spent 15 minutes walking at a steady pace back to his bike. Complete the graph to represent this
situation. Be sure to provide an appropriate scale on each axis.
4) (8.F.A.3) The table below shows how two cell phone plans charge for minutes.
a) The relationship in Plan A can be described as a function. Is this a linear function? Explain why
or why not.
b) The relationship in Plan B can be described as a function. Is this a linear function? Explain why
or why not.
5)
(8.F.B.5)
The graph below shows a student’s trip to school. This student walks to his friend’s
house, and together, they ride a bus to school. The bus stops once before arriving at school.
Describe how part A-E of the graphs relates to the story.
6)
(8.F.A.3)
For each of the equations in the box, tell whether they are linear or non-linear & explain
your reasoning.
Equation
y = -2x2 + 3
y = 2x
𝐴 = 𝜋𝑟 2
Y = 0.25 + 0.5(x – 2)
Linear or non-linear
Explain your reasoning
7)
(8.F.B.5)
To save money, drivers often try to increase their mileage, which is measured in miles per
gallon (mpg). One theory is that speed traveled impacts miles per gall. Suppose the following
data are recorded for several 300-mile tests, with the car traveling at different speeds in miles
per hours (mph) for each test. Does the association appear to be linear? Why or why not?
8)
(8.F.B.5)
The Kentucky Derby is a horse race held each year. The following scatter plot show the
speed of the winning horse at the Kentucky Derby each year between 1875 and 2012. Comment
on whether the association between speed and year is approximately linear and explain in the
context of this problem why the form of the association (linear or non-linear) makes sense
considering the variables involved.
9)
The area of a rectangular enclosure is 240 square meters. The dimensions can change,
but the area is fixed. Which of the graphs below would depict this situation? Explain your
reasoning.
(8.F.B.5)
10) (8.F.B.5) You throw a ball upward from the top of a building that is 240 meters high. Which of the
graphs below would depict this situation? Explain your reasoning.
11) (8.F.A.B.5) Every week, you add $10 to your piggy bank. There was $240 in your piggy bank to
start. Which of the graphs below would depict this situation? Explain your reasoning.
12) (8.F.A.B.5) There were 240 wolves in Northern Michigan last year. Ever year the population grows
by 10%. Which of the graphs below would depict this situation? Explain your reasoning.