1. Algebra I CCP
Quarter 3 Benchmark Review – Packet #1
Find the equation of each line in slope-intercept form (y = mx + b).
1. 2.
3. 4.
5. ` 6.

2. Graph the equations of the lines below in the form given.
2
1. y=  x 2. y = -x – 2
3
3. 4x – 3y = 12 4. x=4

3. 1
5. y= (x – 2) 6. y – 2 = -(x + 4)
4
Find the x and y intercepts of the following linear equations and then graph.
1. 6x – 12y = -36

4. Find the x and y intercepts of the following linear equations and then graph.
2. x + 2y = 5
3. 0.8x + 0.3y = 2.4

5. Find the equation of a line given the slope and a point. Put in both point-
slope and slope-intercept forms.
1. m=3 (1, 4)
2. m = 2 (2, −3)
3. m = −1 (−4, 2)

6. Find the equation of a line given 2 points. Put in slope-intercept, point-slope
and Standard forms.
1. (1, −5) (4, 7)
2. (−3, 4) (0, 7)
3. (5, −2) (−1, 0)

7. Rewrite the equation in slope-intercept form (y = mx + b). Solve for y.
1. 4x – y + 3 = 0 2. 2x + 4y = -12
3. 2x – 4y = 20 4. 4x – 8y = -16
Rewrite each of the following linear equations in Standard Form.
3
1. y= x–1 2. y = -x – 7
4
1
3. y – 5 = -2(x + 3) 4. y+2= (x + 5)
2

8. Parallel and Perpendicular Lines
1. Find the equation of the line perpendicular to 4y - 2x = 6 and passes through the point (3, 1).
2. Find the equation of the line parallel to 2y + 3x = 5 and passes through the point (−2, 5).
3. Write the equation of the line that is perpendicular to the given line and passes through
the given point. Then find the parallel line going through the point too.

9. Solve each of the following linear systems by graphing.
1. 2x + y = 4
x+y=2
2. x − 2y = 2
2x + 5y = −5

10. Solve each of the following linear systems using the substitution method.
1. 2x + 4y = 8
5x + y = -7
2. x + 2y = 3
2x + 4y = 6
1
3. y=- x-1
3
4x - 3y = 18