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Algebra 1
1st Semester Final Exam Review 2008-2009
Packet #1
Name___________________
Hour_____A/B
Chapter 1
1.
Solve the following proportions.
52
a

a.
75 153
b.
25 17

180 b
2.
An 18-wheel truck travels 112 miles on 8 gallons of gas. Write and solve a proportion to
determine the number of gallons needed to travel 1200 miles.
3.
A quality inspector at Charlie’s Calculator Factory examined 150 calculators and found
that 8 are defective. What is the best prediction of the number of defective calculators
in a delivery of 500 calculators?
4.
Convert 18 hours to seconds. (1 day = 24 hours; 1 hour = 60 minutes; 1 minute = 60
seconds)
5.
The speed of a car is 65 miles per hour. What is the approximate speed in inches per
second? (1 mile = 5280 feet, 1 foot = 12 inches, 1 inch = 2.54 cm, 1 hour = 60 minutes, 1
minute = 60 seconds)
6.
A shirt is priced at $65, however, the shirt is 15% off. The sales tax rate in that state
is 7%. Find the total price of the shirt after taxes are included.
7.
The price tag on a pair of shoes is $65, however, at the cashier they ring up for $42.75.
Find the percent discount. (Ignore sales tax)
8.
30 is what percent of 400?
9.
116 is 35% of what number?
Chapter 2
10.
Evaluate:
a.
5  32  9  4 2
b.
3(11  8)  6
3
11.
Use the distributive property to rewrite the expression. – 4 (x – 7).
12.
What are the coordinates of point A?
13.
14.
Solve the following equations for x.
a.
– 5x + 12 = -23
b.
1
x  9  13
9
c.
–3x – 4 = -2x - 10
d.
6(3x + 11) = -3(11x - 2)
e.
1
1
5
x x
2
3
2
f.
3
5
3
1
x

x
5
12 10
6
Complete the table for the equation y = 12x + 4.
x
-3
12
y
15.
Find the linear equation that fits the data in the table.
x
y
16.
40
0
12
1
17
2
22
3
27
Leslie’s sister gave Leslie her collection of Beany Tots when she left for college. At that
time $99 had been spent on the toys. Leslie then bought several new Beany Tots for
$2.75 each. Write an equation for this situation.
17.
Jose, Mario, and Melanie went on a weeklong cycling trip. The table below gives the
distance each person traveled for the first 3 hours of the trip.
Cycling time
(hours)
0
1
2
3
18.
Distance (miles)
Jose
Mario
Melanie
0
0
0
5
7
9
10
14
18
15
21
27
a.
Write an equation for the distance Melanie’s distance during the trip.
b.
Use your equation to determine Melanie’s distance after 7 hours.
Simplify each expression:
3 5

a.
2 6
c.
1 4

8 5
b.
3 2

7 3
d.
5 4

13 5
Algebra 1
1st Semester Final Exam Review 2008-2009
Packet #2
Name___________________
Hour_____A/B
Chapter 3
1.
Two lines are shown on the graph. The scale for the x- and y-axes is 1.
Give the slope, y-intercept, and equation for each line.
Line a:
Slope:
yintercept:
Line b:
Equation:
2.
Slope:
yintercept:
Equation:
Write each equation in slope-intercept form. SHOW ALL WORK.
a.
y  2
c.
A line through (2, 8) (6, 16)
2
 x  3
3
b.
d.
y = 5(x – 10) + 34
x
y
2
-5
2
5
2
10
g.
Slope: 2; y – intercept: -10
h.
3.
Write a possible equation for each graph.
4.
Graph each of the following lines.
a) y 
4
x 5
3
3x – 6y = 18
1
b) y  3  ( x  5)
2
c) 4 x  5y  20
5.
For each equation show all your work in solving for x.
a.
6.
d)  2 x  3 y  9
2
3
x  x  17
3
4
b.
23

 x  2  3
54

1
1
x x24
3
2
For each graph, a) draw a line of best fit and b) write an equation
Equation: ____________________
7.
c.
Equation: ____________________
Use the equation y  4 x  38 to answer the following questions.
a.
Find x when y = 6.
b.
Find y when x = -10.
Algebra 1
1st Semester Final Exam Review 2008-2009
Packet #3
Name___________________
Hour_____A/B
Chapter 4
1.
Solve the following systems of equations.
a)
 y  7  4.5 x

3
 y  2 x 1
c)
d)
3x  3 y  18

 x  2 y  10
e)
 y  2x  9

3x  5 y  7
 y  23 x  1

3 y  2 x  y
2 x  6 y  1

4 x  3 y  3
b)
2.
The Creekside Theater is putting on a play. The Hanson family bought 5 adult tickets and
3 child tickets for $131.25. The Rivera family bought 3 adult tickets and 4 child tickets
for $106.25. Find the price of adult tickets and children’s tickets.
3.
Old McDonald had a farm. And on this farm he had some cows and chickens. There are a
total of 200 animals on the farm between cows and chickens. There are a total of 740
legs on the animals. How many cows and chicken does Old McDonald have? (Hint: You’ll
need to know how many legs a chicken and cow have for one of the equations.)
4.
Graph the following inequalities.
a.
c > -1
5.
Write an inequality statement for each graph.
a.
b.
b.
2b7
6.
Determine whether or not the given points are a solution to the system.
a.
(4, 8)
b.
(-3, -2)
y = 2x
2x -5y = 4
y = -4x + 12
x – 3y = 3
Explain what this means about
the graphs of these two equations.
7.
Explain what this means about
the graphs of these two equations.
Solve the following inequalities. Then, graph the solution.
a.
x+2<4
b.
x – 4 > -8
c.
12 + 3x  6
d.
5–x>7
e.
5 – 3x  20
f.
7 > 2x – 5
8.
Graph the following inequality:
9.
Graph this system of inequalities
3 x  5 y  20

1

 y  6 x  3
2 x  4 y  16
10.
Use this graph to answer the following questions. (Each square is one unit)
Name a point that is a solution to only one of the
inequalities.
__________
Name a point that is a solution to both
inequalities.
__________