Algebra 1Name______
1st Semester Final Exam Review 2008-2009Hour_____A/B
Packet #1
Chapter 1
1.Solve the following proportions.
a.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.b.
11.Use the distributive property to rewrite the expression. – 4 (x – 7).
12.What are the coordinates of point A?
13.Solve the following equations for x.
a.– 5x + 12 = -23b.
c.–3x – 4 = -2x - 10d.6(3x + 11) = -3(11x - 2)
e.f.
14.Complete the table for the equationy = 12x + 4.
x / -3 / 12y / 40
15.Find the linear equation that fits the data in the table.
x / 0 / 1 / 2 / 3y / 12 / 17 / 22 / 27
16.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) / Distance (miles)Jose
/ Mario / Melanie0 / 0 / 0 / 0
1 / 5 / 7 / 9
2 / 10 / 14 / 18
3 / 15 / 21 / 27
- Write an equation for the distance Melanie’s distance during the trip.
b.Use your equation to determine Melanie’s distance after 7 hours.
18.Simplify each expression:
a.b.
c.d.
Algebra 1Name______
1st Semester Final Exam Review 2008-2009Hour_____A/B
Packet #2
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: / Line b: / Slope:y-intercept: / y-intercept:
Equation: / Equation:
2.Write each equation in slope-intercept form. SHOW ALL WORK.
a. / / b. / y = 5(x – 10) + 34c. / A line through (2, 8) (6, 16) / d. / x / 2 / 2 / 2
y / -5 / 5 / 10
g. / Slope: 2; y – intercept: -10 / h. / 3x – 6y = 18
3.Write a possible equation for each graph.
4.Graph each of the following lines.
a) / b)c) /
d)
5.For each equation show all your work in solving for x.
a.b.c.
6.For each graph, a) draw a line of best fit and b) write an equation
Equation: ______Equation: ______
7.Use the equation to answer the following questions.
a.Find x when y = 6.b.Find y when x = -10.
Algebra 1Name______
1st Semester Final Exam Review 2008-2009Hour_____A/B
Packet #3
Chapter 4
1.Solve the following systems of equations.
a) b)
c)d)
e)
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 > -1b.
5.Write an inequality statement for each graph.
a.b.
6.Determine whether or not the given points are a solution to the system.
a.(4, 8)b.(-3, -2)
y = 2x2x -5y = 4
y = -4x + 12x – 3y = 3
Explain what this means aboutExplain what this means about
the graphs of these two equations.the graphs of these two equations.
7.Solve the following inequalities. Then, graph the solution.
a.x + 2 < 4b.x – 4 > -8
c.12 + 3x 6d.5 – x > 7
e.5 – 3x 20f.7 > 2x – 5
8.Graph the following inequality:
9.Graph this system of inequalities
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.
______