Name: _________________________________________________________ Date: ___________________________ Period: _____________
Unit 3 Part 1 Study Guide
1.) What is the slope from R to S?
2.) From Q to T?
U
V
3.) What is the slope from R to V?
4.) From Q to U?
5.) True or false: Triangle RVS is not similar to Triangle QUT.
6.) A line has the y-intercept is located at (0, -3) and it passes through the point (3, 2). Write an equation to
represent this line.
7.) Allison sells toffee by the pound. The table shows the function of Allison’s cost compared to the pounds. Use the
information in the table to make a graph, representing the amount on the horizontal axis. Be sure to number and
label your axes.
Amount
(Pounds)
2
4
6
8
10
Cost ($)
7
14
21
28
35
Find the slope of the graph. Explain what the slope means in the situation.
8.) Compare the two scenarios to determine which cyclist travels at a greater speed AND explain why.
Person 1
Person 2
𝑦 = 15𝑥
𝑥 is time in hours
𝑦 is distance in miles
9.) Which representation(s) match the earnings represented in the graph?
4
5
A.
x
y
B. y = 𝑥 + 20
50
40
2
100
60
C. y = 5 𝑥 + 20
250
120
D.
Fill in the blanks to complete the equation for the correct number of solutions.
10.) No solution: 5𝑥 – 1 = _________________
11.) No solution: −3𝑥 + 8 = _________________
12.) One solution: 5𝑥 – 1 = _________________
13.) One solution: −3𝑥 + 8 = _________________
14.) Infinitely many solutions: 5𝑥 – 1 = _________________
15.) Infinitely many solutions: −3𝑥 + 8 = _________________
Solve for the variable.
16.) 4𝑤 – 5𝑤 + 9 = 5𝑤 – 9
18.)
1
2
1
3
+ 3𝑥 = (𝑥 − 6)
20.) 9+2.25𝑥 = 2 + 8.5𝑥
17.) 5 − 3𝑥 = −3𝑥 + 8
19.) 4𝑥 + 5 − 6 = 3(𝑥 + 3)
21.) 4(2𝑥 − 5) = 8(2𝑥 + 3)
22.) Jocelyn incorrectly solved a math problem.
Step 1: 𝑥 − 5 = 6 − 2(4𝑥 + 1)
Step 2: 𝑥 − 5 = 6 − 8𝑥 + 2
Step 3: 𝑥 − 5 = 8 − 8𝑥
Step 4: 9𝑥 − 5 = 8
Step 5: 9𝑥 = 13
Step 6: 𝑥 =
13
9
Part A: Identify between which two steps Jocelyn made a mistake.
Part B: Correct Jocelyn’s mistake.
Part C: Correctly solve the problem.