# Unit 5 test

## Transcription

Unit 5 test
Supplemental Worksheet
Name ___________________________
Pre-Algebra
Unit 5: Graphing Linear Equations
Section 1 – Solving Literal Equations
Solve for y.
1) 4x – 2y = 6
7)
3y – 21 = 12x
2) 3y = 2x – 15
8)
5y + 3 = 2y – 3x + 5
3) x + y = 1
9)
-2(x + 3y) = 18
4) 6x + 3y = 12
10) 5(x + y) = 20 + 3x
5) 3y = 15x – 12
11) 6y – 3x + 18 = 0
6) 5x + 10 = 10y
12) 2y + 1 = 8x + 5
Supplemental Worksheet
Name ___________________________
Pre-Algebra
Unit 5: Graphing Linear Equations
Section 2 – Working with Tables
 To pass, must get 3 of 4 correct.
Score = ___ of 4
1. Is the rate of change constant?
New Snowfall to Estimated Meltwater
2. Are the quantities proportional?
new snowfall at 25oF
(inches)
15
30
45
melt water equivalent
(inches)
1
2
3
60
4
Ice Scraper Sales
outside temperature (oF)
ice scrapers sold
10
20
20
15
30
10
40
5
3. Is the rate of change constant?
4. Are the quantities proportional?
5. Identify the independent and dependent variables.
6. What is the domain?
7. What is the range?
Trip to Europe
day money in wallet
0
700
1
600
2
500
3
400
4
300
9. Is there a constant rate of change, and If there is, what is it?
over
11. Identify the independent and dependent variables.
12. What is the domain?
13. What is the range?
Money Conversion
converting U.S. Dollars to Euros
U.S. Dollars
Euros
4
3
12
9
36
27
80
60
15. Is there a constant rate of change, and If there is, what is it?
17. Is there a constant rate of change, and if there is, what is it?
18. Does this show direct variation?
19. If the table shows a linear relationship (the rate of change is constant),
then give an equation that corresponds to this table.
20. Is there a constant rate of change, and if there is, what is it?
21. Does this show direct variation?
22. If the table shows a linear relationship (the rate of change is constant),
then give an equation that corresponds to this table.
x
y
1
2
2
5
3
10
4
17
x
y
10
-150
20
-140
30
-130
40
-120
Supplemental Worksheet
Name ___________________________
Pre-Algebra
Unit 5: Graphing Linear Equations
Section 3 – Graphing Linear Equations (using tables)
Graph using tables. You must show the table you use.
1) y = -2x + 6
2) y = x – 4
y
y
5
5
-5
5
x
-5
x
5
-5
-5
4) y = 3x – 5
3) y = -x + 1
y
y
5
5
-5
5
-5
x
-5
5
-5
over
x
Graph using tables. You must show the table you use.
5) y = x
6) y = 4x – 5
y
y
5
5
-5
5
x
-5
x
5
-5
-5
7) y = -x – 2
8) y = ½ x + 4
y
y
5
5
-5
5
-5
x
-5
5
-5
x
Supplemental Worksheet
Name ___________________________
Pre-Algebra
Unit 5: Graphing Linear Equations
Section 4 – Slope
Mt. Lebanon
(not drawn to scale)
1) A hiker is planning to ascend Mt. Lebanon.
What is the slope of the climb?
500 ft
800 ft
2)
The roof on your house leaks. You have found a deal on some new
shingles, but they specify that the pitch (slope) of the roof must be lower than
11/12. Using the dimensions in the drawing, could these be used?
5 ft
ft
5.5 ft
3)
What is the slope of the line in the graph?
y
5
-5
5
-5
Find the slope of the lines containing the given points.
4) (25, 100) & (15, 120)
5) (-2, 5) & (10, 5)
6) (10, 3) & (7, -1)
over
x
7) For a 3 inch diameter drain line, the building codes require the slope to be at least ¼ inch drop per
foot (or 1 inch drop per 48 inches of run) so that the water will drain properly. What would be the
drop necessary for a sink where you have to run the drain line 24 feet to the sewer connector?
sewer connector
drop
24 feet
A road has a grade of 8% (in other words, a slope of 8/100).
That means that to drop 25 feet, how many feet would the road have to go
horizontally?
8)
9) What is the slope of the line in the graph?
10) What is the slope of the line in the graph?
y
y
5
5
-5
5
x
-5
11) Find the slope of the line parallel to the line y = -5x + 10
12) Find the slope of the line perpendicular to the line y = -5x + 10
-5
5
-5
x
Supplemental Worksheet
Name ___________________________
Pre-Algebra
Unit 5: Graphing Linear Equations
Section 5 – Graphing Linear Equations (using slope-intercept form)
Graph the following equations without using a table of values.
1) y = ½ x - 3
2) y = -x + 5
y
y
5
5
-5
5
x
-5
x
5
-5
-5
Give the equations of the lines on the following graphs.
3)
4)
y
y
5
5
-5
5
-5
x
-5
5
-5
over
x
Graph the following equations without using a table of values.
6) y = 2/5x – 1
5) y = -½ x + 5
y
y
5
5
-5
5
x
-5
x
5
-5
-5
Give the equations of the lines on the following graphs.
7)
8)
y
y
5
5
-5
5
x
-5
-5
5
-5
Find the equation of the line containing the given points.
9) (5, 40) & (11, 58)
10) Write the equation of a line that has a slope of ½ and goes through the point (20, 7).
x