Name_____________
Study Guide—Unit Test 1
1. Use the graph below to answer parts (a)–(c).
(0,5)
Use “pretty points” to find the
coordinates to use in a table.
(__,__)
(__,__)
(__,__)
x
A) Use any pair of points to calculate the slope of the line.
=
rise
run
B) Use a different pair of points to calculate the slope of the line.
C) Explain why the slopes you calculated in parts (a) and (b) are equal.
HINT: Use the vocabulary CONSTANT RATE.
y
2. Andrew walks at a rate of 3 miles per hour. Below is a table that represents the number of
hours and miles Leslie walks. Assume both walkers travel at a constant rate.
Leslie’s Walking Rate
Time in Hours
(x)
Distance in
Miles (y)
0.5
1.25
1.0
2.5
1.5
3.75
2
5
A) Which walker travels at a greater speed, Andrew or Leslie? Explain your reasoning.
HINT: You should create a table for Andrew to compare to Leslie
Write an equation for a third walker, Lauren, who walks twice (2 times) as fast as Andrew.
Use y to represent the number of miles Lauren travels in x hours. Explain your reasoning.
HINT: You should create a table for Lauren first to help you figure out the slope. Don’t forget y=mx+b!
B.) Create a graph of the equation you wrote for Lauren in part A.
x
y
C.) Calculate the slope of the line in Part B (Lauren’s equation) and interpret its meaning in this
situation.
HINT: What does is mean in terms of time and distance?
3. A.) Determine the equation of the line connecting the points (3, 6) and (9, 1).
HINT: You should create a table to help you figure out the slope. Don’t forget y=mx+b!
B.) Will the point (15, -4) be on the same line? Why or why not?
4. Function or Not a Function: Circle the relations that are functions.
5.
Line Q and line K are shown on the graph below. Use the graph to answer parts (a)–(f).
12
11
10
Line Q
9
8
7
6
5
4
Line K
3
2
1
0
0
-1
1
2
3
4
-1
-2
A.) What is the y-intercept of line Q?
B.) What is the slope of line Q?
HINT: Find pretty points to calculate
C.) What is the equation of line Q?
HINT: Remember y=mx+b
D.) What is the y-intercept of line K?
E.) What is the slope of line K?
HINT: Find pretty points to calculate
F.) What is the equation of line K?
HINT: Remember y=mx+b
5
6
7
8
9
10
11
12
13