Unit 2, Part 2 – Summative #2 - REASSESSMENT Full Name:___________________________Date:____________ Period:____________

Directions: Answer all your questions on your own piece of paper. Make sure you show your work and circle your final answer. All graphs should have labeled scales and axes.

1. Find the slope of the line that passesthrough the points:

a. (2,-1) and (-3,-12)

2. Make an input/output table and graph the equation:

y = -3x-4

3. A car wash charges $0.60 per minute, plus a standard $1.50 fee. a. Write an equation and graph it.b. If you have $7.50, how long could you get your car washed? Use your equation to solve.

4. State the slope of a line that is perpendicular to the

graph of y=−27x+ 1

2 .

5. Using the data points below, make a graph and write an equation:

X 5 7 11 15y -3 -6 -12 -18

6. Find the slope of the line, and write an equation.

7. Write the equation of a line perpendicular to

the graph of y=23x−7 and that goes through

the point (12 ,−15).

8. Are the lines passing through the given pairs of points parallel, perpendicular, or neither?

Line 1: (0 ,6 ) ,(6 ,2) Line 2: (−1 ,4 ) , (−7 ,−5)

9. Solve for x.

−3x−6−3(4−x)

=−2

10. Mr. Parker is trying to gain weight again!! This time, he believes that he can gain 0.6 pounds every 4 days. After 21 days, he weighs 180 pounds.a. What are the variables in this equation? Label them x and y.b. What did Mr. Parker weigh before he started his diet? c. Write an equation.d. Using your equation, find out how long it will take Mr. Parker to weigh 206 pounds.

11. Write an equation and solve:

The speed of a boat in still water is 10 miles per hour. It travels 24 miles upstream and 24 miles downstream in 5 hours. What is the speed of the current?

12. Write an equation and solve:

How many liters of a 10% salt solution should be added to 80 liters of a 35% salt solution to obtain a mixture that is a 30% salt solution?