Review for Unit V Test YOU MAY TREAT THIS LIKE A CLUSTERS WORKSHEET…4/5 to move on
I. Graph the following linear equations by converting the equation to slope intercept form
1) y = -5x + 3
2) y + 7 = 3x + 2
3) 2y = 5x – 8 4) 2x = 6 – 3y 5) 2x + 5y = 15
1
2
6) y = - 𝑥
7) y – 8 = 𝑥 − 5
8) 4y = 8 – 3x
9) 3x = 9 + y
10) 5x – 3y = 15
3
3
II. Graph the following linear equations by converting the equation to Standard Form
1) 7x + 4y = 8 2) 5x – 4y = 15 3) 12x = - 9y + 12
4) – 11y = 13x – 22
5) -6x + 7y = 12
6) 3x – 7y = 15 7) 8x + 3y = 9
8) 5x = - 4y + 10
9) – 9y = 12x + 24
10) – 7x + 4y = 8
III. Solve the following systems of linear equations by graphing. You may graph using the method of
your choice.
1) x + y = 6
2) x + 2y = 5
3) 3x – 8y = 4
4) x + 3y = 12
5) x = 2
x–y=2
3x – 15 = –6y
6x – 42 = 16y
x – 3y = –6
y = –5
6) x + y = 8
x–y=2
8) y = x + 3
3y + x = 5
9) x + 2y = 0
y+3=–x
10) y = 2x
y=3
IV. Solve Each System of Linear Inequalities
1) y > 2x + 2
2) 2x – y > 2
3) y > 2x – 3
y < –x – 1
x + y < –1
2x + 3y < 9
4) 2x + y < 9
x + 7y > –6
5) y < 8
x > –3
2
6) y > x – 2
3
2y < –x – 1
7) x + 2y = 5
2x + 4y = 2
7) 3x + y > 2
4x + y < –1
8) y > 2x – 3
4x + 2y < 9
9) 2x + 5y < 10 10) y > –2
3x + 4y > –6
x>y
V. Graph Each Absolute Value Function
1) y = |x + 2| + 3
2) y = |x - 2| + 4 3) y = -2|x – 5 | + 1
6) y = |x - 2| - 6
7) y = 2|x| + 5
2
8) y = − |x + 2 | + 7
5
2
1
4) y = |x - 4 | - 2
5) y = − |x -1 |
9) y = |x + 5 | - 1
10) y = − |x | + 6
3
1
3
4
2
5
VI. Slope and Midpoint For each set of points given below:
a) Calculate the slope of the line that would pass through the points.
b) Calculate the midpoint of the line segment formed by the two points.
1) (3,4),(4,6)
2) (-3,6),(-5,9) 3) (-1,11),(-5,4)
4) (7,-4),(9,-1)
5) (18, - 4),(6, - 10)
1 1
6) (14,3),( - 11,3) 7) (-4,-6),(-3,-8) 8) (0,0),( , )
9) (3,5),(19,9)
10) (11, -4),(-5 , 20)
2 4