MAT0022 DEVELOPMENTAL ALGEBRA
PRACTICE QUIZ 2
NAME:____________________
MUST SHOW YOUR WORK!
1)
Plot the ordered pairs and label each point:
(−5, 2); (0, −3); (3, 4).
2)
Find the coordinates of the labeled points.
A:_____
y
6
5
B:_____
4
3
2
-6 -5 -4 -3 -2 -1
-1
B
C:_____
1
x
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6
A
-2
-3
-4
-5
6
5
4
3
2
1
y
-1
-2
-3
-4
-5
-6
C
x
1 2 3 4 5 6
-6
3)
Determine whether the given ordered pair is a
solution to the given the equation.
4)
Complete the ordered-pair solutions of the given
equation.
4x − 3y = −1; (−2, 3)
y = 3x + 6;
(−2,
), (
, 12)
Graph each linear equation by finding and plotting three ordered pair solutions.
5)
y = 3x – 1
6)
2x – y = 4
y
x
y
-7 -6 -5 -4 -3 -2 -1
© Palm Beach State
y
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
x
7
6
5
4
3
2
1
y
x
1 2 3
4 5 6 7
-7 -6 -5 -4 -3 -2 -1
1
-1
-2
-3
-4
-5
-6
-7
x
1 2 3
4 5 6 7
MAT0022 DEVELOPMENTAL ALGEBRA
Graph each linear equation by finding and plotting three ordered pair solutions.
7)
2
y x
5
8)
y
1
x 1
2
y
x
y
-7 -6 -5 -4 -3 -2 -1
9)
y
7
6
5
4
3
2
1
x
7
6
5
4
3
2
1
y
x
1 2 3
-1
-2
-3
-4
-5
-6
-7
4 5 6 7
-7 -6 -5 -4 -3 -2 -1
Find the x-intercept of the given line.
x
1 2 3
-1
-2
-3
-4
-5
-6
-7
4 5 6 7
10) Find the y-intercept of the given line.
3x − 5y = 15
y = 4x + 8
Graph each equation by finding and plotting the x- and y-intercepts.
11) −4x − 8y = 16
12) y = −3x + 6
y
x
y
-7 -6 -5 -4 -3 -2 -1
© Palm Beach State
y
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
x
7
6
5
4
3
2
1
y
x
1 2 3
4 5 6 7
-7 -6 -5 -4 -3 -2 -1
2
-1
-2
-3
-4
-5
-6
-7
x
1 2 3
4 5 6 7
MAT0022 DEVELOPMENTAL ALGEBRA
Graph each linear equation.
13) y = 3
14) x + 2 = 0
y
y
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
7
6
5
4
3
2
1
x
1 2 3
-1
-2
-3
-4
-5
-6
-7
4 5 6 7
-7 -6 -5 -4 -3 -2 -1
x
1 2 3
-1
-2
-3
-4
-5
-6
-7
4 5 6 7
Answer Key
1)
6)
y
7
6
5
4
3
2
1
y
7
6
5
4
3
2
1
(-5, 2)
-7 -6 -5 -4 -3 -2 -1
2)
-1
-2
-3
-4
-5
-6
-7
(3, 4)
x
1 2 3
-7 -6 -5 -4 -3 -2 -1
4 5 6 7
(0, -3)
A: (−5, −3); B: (−2, 0); C: (4, 2)
-1
-2
-3
-4
-5
-6
-7
(2, 0)
1 2 3
x
4 5 6 7
(1, -2)
(0, -4)
7)
y
3)
No
(-5, 2)
4)
(−2, 0), (2, 12)
5)
-7 -6 -5 -4 -3 -2 -1
y
7
6
(2,5)
5
4
3
(1,2)
2
1
-7 -6 -5 -4 -3 -2 -1
-1
x
1
2
(0,-1)
3
4
5
6
7
-2
-3
-4
-5
-6
-7
© Palm Beach State
3
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
(0, 0)
1 2 3
x
4 5 6 7
(5, -2)
MAT0022 DEVELOPMENTAL ALGEBRA
Answer Key (continued)
8)
-7 -6 -5 -4 -3 -2 -1
(-2, -2)
9)
13)
y
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
(2, 0)
1 2 3
y
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
4 5 6 7
(0, -1)
-1
-2
-3
-4
-5
-6
-7
14)
(0, -2)
-7 -6 -5 -4 -3 -2 -1
y
7
6
5
4
3
2
1
(-4, 0)
-1
-2
-3
-4
-5
-6
-7
12)
x
1 2 3
4 5 6 7
(0, -2)
y
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
© Palm Beach State
(0, 6)
(2, 0)
1 2 3
x
4 5 6 7
4
1 2 3
4 5 6 7
1 2 3
4 5 6 7
y
10) y-intercept: (0, −3)
-7 -6 -5 -4 -3 -2 -1
x
x
x-intercept: (−2, 0)
11)
(0, 3)
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
x