please see attachment and complete the assignment with work shown and correct answers in the designated answer areas

No Work ⇔ No Points

Use Pencil Only ⇔ Be Neat & Organized

1. Consider a line segment AB with endpoints A(−3, 2) and B(3, −6).

(a) (2 points) Find the distance between the two points.

(a)

(b) (2 points) Find the midpoint of the line segment AB.

←→

(c) (2 points) Find the slope of the line AB.

(b)

(c)

(d) (2 points) Graph the line segment AB. Show the rise and run of the slope.

y

Page 1 of 4

Study Guide 1

Total Points: 50

2. (8 points) Graph both linear equations in each system, clearly mark intercepts,

rise and run of the slope, or any point used in the graph:

3x − 4y = 12

4x + 3y = −12

2x + 5y = 10

2x + 5y = −10

y

y

x

x

3. Consider a line segment AB with endpoints A(−5, 1) and B(1, 3).

(a) (2 points) Find the distance between the two points.

(a)

(b) (2 points) Find the midpoint of the line segment AB.

←→

(c) (2 points) Find the slope of the line AB.

(b)

(c)

Page 2 of 4

Study Guide 1

Total Points: 50

4. (8 points) Graph both linear equations in each system, clearly mark intercepts,

rise and run of the slope, or any point used in the graph:

y = 35 x − 3

y = 34 x + 2

y = 5x + 3

y=

−4

3

3 x−2

y

y

x

x

←→

5. Find the slope of line AB that contains the points A(−3, 5) and

(a) (2 points) B(3, −2).

(a)

(b) (2 points) B(7, 5).

(b)

(c) (2 points) B(−3, 0).

(c)

Page 3 of 4

Study Guide 1

Total Points: 50

6. (6 points) Graph both linear equations in each system, clearly mark intercepts,

rise and run of the slope, or any point used in the graph:

y − 2=

2

5

f

(x + 2)

x=2

y+4 =0

y

y

x

x

7. Algebra Review Problems:

(a) (2 points) Solve 3(x − 5) + 2 = 7 − 2x.

(a)

( )2

(b) (2 points) Simplify x3 · x4 by using exponential rules.

(b)

(c) (2 points) Solve −3 < 2x + 1 ≤ 7, then graph the solution.
-4
-3.5
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
(d) (2 points) Multiply (2x − 4)(2x + 4) using FOIL method.
3
3
(d)
Page 4 of 4
Study Guide 1
Total Points: 50