Instructions
Complete the following problems involving linear equations. Show all your work for full credit.
1. Solve the Equation
4x + 7 = 27
Solution: __________
2. Write the Equation
A line has a slope of 3 and passes through the point (2, 5). Write the equation in slope-intercept form (y = mx + b).
Equation: __________
3. Graph the Equation
Graph the line represented by the equation y = -2x + 4. Use the table below to help plot the points.
| x | y |
|---|---|
| -1 | ________ |
| 0 | ________ |
| 1 | ________ |
| 2 | ________ |
4. Word Problem
A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items for $5.50, how many pencils and how many erasers did they buy?
Pencils: __________ Erasers: __________
5. Challenge Problem
If the equation of a line is given by 2y - 3x = 6, find the y-intercept.
y-intercept: __________
6. True or False
If the slope of a line is negative, then the line goes down from left to right. (Write “True” or “False”)
Answer: __________