Download Name: Date: ______ Period: ______ Day 8: Review Sheets Answer

Name: ___________________
Period: ______
Date: _____________
Day 8: Review Sheets
Answer the following questions. Show all work!
1.
The table represents the number of computer tablets sold. Tell whether the rates of change are
constant or variable.
2.
3.
Week
1
3
4
8
Number Sold
32
96
128
224
Devon keeps a record in graph form of how far her car travels and the amount of gasoline it uses.
a:
How many miles per gallon does Devon get with her car?
b:
What is the slope of the graph?
c:
How far can Devon travel on 4 gallons of gasoline?
d:
Devon knows she only has 8 gallons of gasoline in the tank. She wants to go on a 300-mile trip.
Will she have to buy more gasoline? Explain.
Determine whether each relationship is a function? Justify.
a:
b:
Input
Output
10
2
10
4
12
4
10
6
24
6
6
4
8
8
8
Input
Output
2
4.
Fill in the missing values.
a:
5.
Input
Output
Input
Output
Tickets
Cost ($)
Minutes
Page
2
40
2
1
5
100
10
5
7
140
20
10
b:
x
x
10
30
The graph shows the relationship between the heights and weights of the members of a basketball
team. Is the relationship represented by the graph a function? Explain.
(#6-9) State the slope and y-intercept of the graph of the following linear equations.
6.
y=x+1
7.
y = 7x – 5
8.
y = –4x + 2
9.
y
3
x3
2
(#10-11) Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. Justify.
3
2
10.
y = –5x +
11.
y= x–4
4
3
1
3
y=  x+4
y=  x+6
5
2
(#12-20) Answer the following questions. Show all work.
12.
Write an equation of a line that passes through the point (5, 11) and has a slope of –4.
13.
Find an equation of the line passing through the points (3, 5) and (5, 15).
14.
Is the ordered pair (3, –1) a solution to the linear equation y = 2x – 7? Justify.
15.
Does the point (1, –1) lie on the line 3x + 7y = 9? Justify.
16.
Find the slope of the line passing through the pairs of points and describe the line as rising, falling,
horizontal or vertical.
a:
M (2, 1); A (4, 5)
b:
T (–1, 0); H (3, –5)
17.
18.
19.
20.
(#21-24) Write the following equations in standard form and then identify the slope and y-intercept.
21.
2x + 5y = 10
22.
–6x + 3y = 54
23.
4 – y = 3x
24.
15x – 12y = 24
(#25-26) Use the following linear equations to answer the EACH of the questions below.
1
y  x3
y  x2
25.
26.
3
Part A: Graph the following linear equations using either the table method or the slope-intercept form.
•
Part B:
What are the slope and y-intercept?
Part C:
In which quadrant will the graph of the line never pass through?
Part D:
What are the coordinates for the point where the graph of the line crosses the y-axis?
Part E:
Identify which linear equation belongs to each of the solutions below and justify.
(9, 0)
_________________
(8, 10)
_________________
(–15, –13)
_________________
(–12, –7)
_________________
To write an equation given the slope
and one point.
Replace m with the given slope and the coordinates of the given point for x and
y. Solve the equation for the y-intercept, b. Rewrite the equation with the slope
for m and the y-intercept for b.
To write an equation given two
points.
Use the slope formula to calculate m. Choose any of the two given points to use
in place of x and y in the linear equation. Replace m with the slope you just
calculated. Solve for b. Rewrite the equation with the slope for m and the yintercept for b.
Name: ___________________
Period: ______
Date: _____________
Day 8: Review Sheets
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