FINAL REVIEW Ch. 4/5 - Equations of a
line #1
9th Grade Algebra 1A / Algebra 1 Beta (Ms. Dalton)
Student Name/ID:
Instructor Note:
SHOW ALL WORK!
1. Rewrite the equation in
Use integers for
2. Find the
form.
and
-intercept and the
-intercept of the line below.
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3. Find the
-intercept and
-intercept of the line.
-intercept: _______________
-intercept: _______________
4. Find the
-intercept and
-intercept of the line.
-intercept: _______________
-intercept: _______________
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5. For each line, determine whether the slope is positive, negative, zero, or undefined.
_ Positive
_ Negative
_ Zero
_ Undefined
_ Positive
_ Negative
_ Zero
_ Undefined
_ Positive
_ Negative
_ Zero
_ Undefined
_ Positive
_ Negative
_ Zero
_ Undefined
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6. Find the slope of the line graphed below.
7. Find the slope of the line passing through the points
and
8. Fill in the blanks below.
Find the slope of the line passing through the points
and
slope:
Find the slope of the line passing through the points
and
slope:
9. Find the slope and the
-intercept of the line.
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10. Find the slope and the
-intercept of the line.
Write your answers in simplest form.
11. Write an equation in slope-intercept form for the line with slope
line.
and
-intercept
Then graph the
Equation: _______________
12. Write equations for the horizontal and vertical lines passing through the point
horizontal line:
vertical line:
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13. The Sugar Sweet Company is going to transport its sugar to market. It will cost
and it will cost an additional
Let
for each ton of sugar transported.
represent the total cost (in dollars), and let
Write an equation relating
sugar.
to rent trucks,
to
represent the amount of sugar (in tons) transported.
Then use this equation to find the total cost to transport
14. Michael is putting money into a savings account. He starts with
tons of
in the savings account, and each
week he adds
Let represent the total amount of money in the savings account (in dollars), and let
represent the
Then use this
number of weeks Michael has been adding money. Write an equation relating to
equation to find the total amount of money in the savings account after
weeks.
15. Owners of a recreation area are filling a small pond with water. They are adding water at a rate of
liters per minute. There are
liters in the pond to start.
represent the amount of water in the pond (in liters), and let represent the number of minutes
Let
that water has been added. Write an equation relating
to and then graph your equation using the
axes below.
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16. Let
represent the total cost of publishing a book (in dollars). Let
the book printed. Suppose that
and
represent the number of copies of
are related by the equation
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change in the total cost for each book printed?
________
What is the cost to get started (before any books are printed)?
________
17. The equations of three lines are given below.
Line 1:
Line 2:
Line 3:
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
18. Consider the line
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
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19. For each scenario below, choose the graph that gives the best representation.
20. Find the slope of the line passing through the points
and
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FINAL REVIEW Ch. 4/5 - Equations of a line #1 Answers for class 9th
Grade Algebra 1A / Algebra 1 Beta
1.
2.
-intercept:
-intercept:
3.
-intercept:
-intercept:
4.
-intercept:
-intercept:
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5.
_ Positive
x Negative
_ Zero
_ Undefined
_ Positive
_ Negative
_ Zero
x Undefined
x Positive
_ Negative
_ Zero
_ Undefined
_ Positive
_ Negative
x Zero
_ Undefined
6.
7.
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8.
Find the slope of the line passing through the points
and
slope:
Find the slope of the line passing through the points
and
slope: Undefined
9. slope:
-intercept:
10.
slope:
-intercept:
11. Equation:
12. horizontal line:
vertical line:
13. Equation:
Total cost to transport
tons of sugar:
14. Equation:
Total amount of money after
weeks:
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15.
16. What is the change in the total cost for each book printed?
What is the cost to get started (before any books are printed)?
17.
18.
Slope of a perpendicular line:
Slope of a parallel line:
19.
20.
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