I’ve previously posted an animated illustration of the slope-intercept form, and you can use the straight lines (linear equations) app to check if you’re drawing straight lines correctly.
Tag: Khan Academy
Finding Where Two Lines Intersect: Khan Academy Lessons
Khan Academy videos on how to solve systems of linear equations:
Use a graphing calculator to double check your lines, or use WolframAlpha, or use my simple line grapher.
by Graphing
Video: Solving Linear Systems by Graphing
Most algebra texts have good problem sets for practice (Khan Academy does not – as yet).
by Substitution
Moving from the more intuitive, visual, graphical method of solution to the more exact algebraic methods, we start with solving by substitution.
Video: Solving Linear Systems by Substitution
Practice Set: Practicing Systems of equations with substitution
by Elimination
Video: Solving Systems of Equations by Elimination
Additional Video: Solving systems by elimination 2 (on YouTube).
Additional Video: Solving systems by elimination 3 (on YouTube).
Practice Set: Practicing Systems of equations with simple elimination
A Review of Fractions: Based on Khan Academy Lessons
This is a basic review of working with fractions using lessons and practice sets from the Khan Academy.
1. Adding Fractions with a Common Denominator
The first topic — adding fractions –ought to be really easy for algebra students, but it allows them to become familiar with the Khan Academy website and doing the practice sets.
Now do the Practice Set.
OPTIONAL: Subtracting fractions with a common denominator works the same way. Students may do this practice set if they find it useful.
2. Adding Fractions with a Different Denominator
This is usually a helpful review.
The practice set.
3. Multiplying and Dividing Fractions
A good review that helps build up to working with radical numbers.
Multiplying fractions:
Do the multiplying fractions practice set.
Dividing Fractions:
Dividing fractions practice set.
4. Converting Fractions to Decimals
The last review is on how to convert fractions to decimals.
Now try the practice set for ordering numbers.
5. Next: Working with Square Roots
Adding Decimals: Khan Academy
Adding decimals practice set (or practice set 2) and video:
Subtracting Decimals: Khan Academy
Subtracting decimals practice set and video:
Multiplying Fractions: Khan Academy
Multiplying fractions practice set and video.
Adding Fractions with Unlike Denominators: Khan Academy
The Khan Academy has an excellent page on adding fractions with unlike denominators.
The practice set gives good feedback, and the video (below) seems effective.