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Algebra (for members)
Chapter 0 : Pre-Algebra
0.1 Integers
0.2 Fractions
0.3 Order of Operations
0.4 Properties of Algebra
Chapter 1: Solving Linear Equations
1 One Step Equations
1.2 Two-Step Equations
1.3 General Equations
1.4 Fractions
1.5 Formulas
1.6 Absolute Value
1.7 Variation
1.8 Number and Geometry
1.9 Age Problems
1.10 Distance, Rate and Time
Chapter 2 : Graphing
2.1 Points and Lines
2.2 Slope
2.3 Slope-Intercept Form
2.4 Point-Slope Form
2.5 Parallel and Perpendicular Lines
Chapter 3 : Inequalities
3.1 Solve and Graph Inequalities
3.2 Compound Inequalities
3.3 Absolute Value Inequalities
Chapter 4 : Systems of Equations
4.1 Graphing
4.2 Substitution
4.3 Addition/Elimination
4.4 Three Variables
4.5 Value Problems
4.6 Mixture Problems
Chapter 5 : Polynomials
5.1 Exponent Properties
5.2 Negative Exponents
5.3 Scientific Notation
5.4 Introduction to Polynomials
5.5 Multiplying Polynomials
5.6 Multiply Special Products
5.7 Divide Polynomials
Chapter 6 : Factoring
6.1 Greatest Common Factor
6.2 Grouping
6.3 Trinomials where a = 1
6.4 Trinomials where a ≠ 1
6.5 Factoring Special Products
6.6 Factoring Strategy
6.7 Solve by Factoring
Chapter 7 : Rational Expressions
7.1 Reduce Rational Expressions
7.2 Multiply & Divide
7.3 Least Common Denominators
7.4 Add & Subtract
7.5 Complex Fractions
7.6 Proportions
7.7 Solving Rational Equations
7.8 Dimensional Analysis
Chapter 8 : Radicals
8.1 Square Roots
8.2 Higher Roots
8.3 Adding Radicals
8.4 Multiply and Divide Radicals
8.5 Rationalize Denominators
8.6 Rational Exponents
8.7 Radicals of Mixed Index
8.8 Complex Numbers
Chapter 9: Quadratics
9.1 Solving with Radicals
9.2 Solving with Exponents
9.3 Complete the Square
9.4 Quadratic Formula
9.5 Build Quadratics From Roots
9.6 Quadratic in Form
9.7 Rectangles
9.8 Teamwork
9.9 Simultaneous Products
9.10 Revenue and Distance
9.11 Graphs of Quadratics
Chapter 10 : Functions
10.1 Function Notation
10.2 Operations on Functions
10.3 Inverse Functions
10.4 Exponential Functions
10.5 Logarithmic Functions
10.6 Compound Interest
10.7 Trigonometric Functions
9.10
Revenue
and
Distance
A train traveled 240 kilometers at a certain speed. When the engine was
replaced by an improved model, the speed was increased by 20 km/hr and the
travel time for the trip was decreased by 1 hour. What was the rate of each
engine?
60, 35
60, 30
20, 30
60, 80
A clothier bought a lot of suits for 750. He sold all but 3 of them for 864
making a profit of 7 on each suit sold. How many suits did he buy?
32
31
30
33
35
34
A merchant bought a number of barrels of apples for 120. He kept two barrels
and sold the remainder at a profit of 2 per barrel making a total profit of 34.
How many barrels did he originally buy?
22
2
4
7
27
24
A merchant bought some pieces of silk for 900. Had he bought 3 pieces more
for the same money, he would have paid 15 less for each piece. Find the
number of pieces purchased.
17
16
15
12
3
A factory tests the road performance of new model cars by driving them at two
different rates of speed for at least 100 kilometers at each rate. The speed rates
range from 50 to 70 km/hr in the lower range and from 70 to 90 km/hr in the
higher range. A driver plans to test a car on an available speedway by driving
it for 120 kilometers at a speed in the lower range and then driving 120
kilometers at a rate that is 20 km/hr faster. At what rates should he drive if he
plans to complete the test in 3(1/2) hours?
62 mph, 72 mph
65 mph, 85 mph
60 mph, 80 mph
62 mph, 82 mph
62 mph, 89 mph
A number of men subscribed a certain amount to make up a deficit of 100
but 5 men failed to pay and thus increased the share of the others by 1 each.
Find the amount that each man paid.
$6
$4
$8
$5.5
$12
The rate of the current in a stream is 3 km/hr. A man rowed upstream for 3
kilometers and then returned. The round trip required 1 hour and 20 minutes.
How fast was he rowing?
5 km/hr
7 km/hr
8 km/hr
6 km/hr
4 km/hr
9 km/hr
An athlete plans to row upstream a distance of 2 kilometers and then return
to his starting point in a total time of 2 hours and 20 minutes. If the rate of
the current is 2 km/hr, how fast should he row?
2.002 km/hr
3.002 km/hr
3.222 km/hr
3.033 km/hr
A dealer bought a number of sheep for 440. After 5 had died he sold the
remainder at a profit of 2 each making a profit of 60 for the sheep. How
many sheep did he originally purchase?
55
59
29
51
50
54
53
A man bought a number of articles at equal cost for 500. He sold all but two
for 540 at a profit of 5 for each item. How many articles did he buy?
19
21
22
15
20
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