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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
4.6 Mixture Problems
How many kilograms of soil supplement that costs $7.00 per kilogram must
be mixed with 20 kg of aluminum nitrate that costs $3.50 per kilogram to
make a fertilizer that costs $4.50 per kilogram?
16.66
8
25
2
A tank contains 8000 liters of a solution that is 40% acid. How much water
should be added to make a solution that is 30% acid?
2.666
2013
2666.7
0
A farmer has some cream which is 21% butterfat and some which is 15%
butter fat. How many gallons of each must be mixed to produce 60 gallons of
cream which is 19% butterfat?
30; 30
25; 35
15; 45
40;20
A caterer made an ice cream punch by combining fruit juice that cost $2.25
per gallon with ice cream that costs $3.25 per gallon. How many gallons of
each were used to make 100 gal of punch costing $2.50 per pound?
75; 25
71; 29
65; 35
70; 30
Of 12 pounds of salt water 10% is salt; of another mixture 3% is salt. How
many pounds of the second should be added to the first in order to get a
mixture of 5% salt?
30
1
33
27.525
To make a weed and feed mixture, the Green Thumb Garden Shop mixes
fertilizer worth $4.00/lb. with a weed killer worth $8.00/lb. The mixture
will cost $6.00/lb. How much of each should be used to prepare 500 lb. of
the mixture?
230; 270
200; 300
250; 250
260; 240
A grocer wishes to mix sugar at 9 cents per pound with sugar at 6 cents per
pound to make 60 pounds at 7 cents per pound. What quantity of each must
he take?
18; 42
19; 41
20, 40
25; 35
How many pounds of a 4% solution of borax must be added to 24 pounds of a
12% solution of borax to obtain a 10% solution of borax?
8
5.55
26
16.666
How many ounces of pure water must be added to 50 oz of a 15% saline
solution to make a saline solution that is 10% salt?
23
25
22
21
A certain grade of milk contains 10% butter fat and a certain grade of cream
60% butter fat. How many quarts of each must be taken so as to obtain a
mixture of 100 quarts that will be 45% butter fat?
35; 65
30; 70
20; 80
50; 50
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