Linear Functions Exit Ticket
CP Algebra 1 • Section 4-1 Quick Check
Graphing Linear Functions Exit Ticket
Score: / 10
Name:
Date:
Period:
1
Graph by Making a Table
3 Points
Complete the table for the linear equation \(y = 2x - 3\), list the ordered pairs, and plot the line on the grid.
| \(x\) | Substitution / Work (\(2x - 3\)) | \(y\) | \((x, y)\) |
|---|
| -1 | | | |
| 0 | | | |
| 1 | | | |
| 2 | | | |
| 3 | | | |
x y -4 -2 2 4 4 2 -2 -4
2
Horizontal & Vertical Lines
3 Points
Graph and label each special linear equation on the coordinate grid. Then circle the correct orientation and fill in the blank.
Part A: Graph and label line \(y = 3\) (label as "A")
This line is: Horizontal or Vertical
Part B: Graph and label line \(x = -4\) (label as "B")
This line is: Horizontal or Vertical
Rule: An equation in the form \(y = a\) is always a line.
x y -4 -2 2 4 4 2 -2 -4
3
Graph by Using Intercepts
4 Points
Find the \(x\)-intercept and \(y\)-intercept for the equation \(3x + 2y = 6\). Write each as an ordered pair and graph the line.
Find the \(x\)-intercept: (Substitute \(y = 0\))
\(x\)-int: ( , 0 )
Find the \(y\)-intercept: (Substitute \(x = 0\))
\(y\)-int: ( 0 , )
x y -4 -2 2 4 4 2 -2 -4
How confident do you feel graphing linear equations?
1 - Need Help 2 - Getting It 3 - Mastered
Linear Functions Answer Key
CP Algebra 1 • Section 4-1 Teacher Reference
Linear Functions Exit Ticket — Answer Key
Total Points: 10 Pts
Q1 (Table & Graph): 3 pts (1 work, 1 pairs, 1 line)
Q2 (Special Lines): 3 pts (1 each line, 1 rule)
Q3 (Intercepts): 4 pts (1.5 per int, 1 line)
1
Graph by Making a Table
Answer Key
3 Points Total
Complete the table for \(y = 2x - 3\), list the ordered pairs, and plot the line on the grid.
| \(x\) | Substitution / Work (\(2x - 3\)) | \(y\) | \((x, y)\) |
|---|
| -1 | \(2(-1) - 3 = -5\) | -5 | (-1, -5) |
| 0 | \(2(0) - 3 = -3\) | -3 | (0, -3) |
| 1 | \(2(1) - 3 = -1\) | -1 | (1, -1) |
| 2 | \(2(2) - 3 = 1\) | 1 | (2, 1) |
| 3 | \(2(3) - 3 = 3\) | 3 | (3, 3) |
-4 -2 2 4 4 2 -2 -4
2
Horizontal & Vertical Lines
Answer Key
3 Points Total
Graph and label each special linear equation on the coordinate grid. Then identify the orientation and complete the rule.
Part A: Line \(y = 3\) (Line A)
Orientation: ✓ Horizontal Vertical
Part B: Line \(x = -4\) (Line B)
Orientation: Horizontal ✓ Vertical
Rule: Equation \(y = a\) is always a horizontal line.
-4 -2 2 4 4 2 -2 -4 A B
3
Graph by Using Intercepts
Answer Key
4 Points Total
Find the \(x\)- and \(y\)-intercepts for \(3x + 2y = 6\). Write each as an ordered pair and graph the line.
Find \(x\)-intercept: (Substitute \(y = 0\))
\(3x + 2(0) = 6\)
\(3x = 6 \implies x = 2\)
\(x\)-int: ( 2 , 0 )
Find \(y\)-intercept: (Substitute \(x = 0\))
\(3(0) + 2y = 6\)
\(2y = 6 \implies y = 3\)
\(y\)-int: ( 0 , 3 )
-4 -2 2 4 4 2 -2 -4 (0,3) (2,0)
Common Misconceptions to Flag:
Reversed Intercepts: Writing \((0, 2)\) instead of \((2, 0)\). Emphasize that the \(x\)-intercept always has \(y = 0\).
Special Line Orientation: Confusing \(y = 3\) with a vertical line. Remind students points on \(y = 3\) share height 3.
Negative Arithmetic: Verify \(2(-1) - 3 = -5\) in Q1. Arithmetic errors are frequent on negative domain inputs.
