All of ALGEBRA in under 1 hour (ultimate study guide), by JensenMath on YouTube. 51 min 32 s.
- Video length
- 51 min 32 s
- Time to do it
- 1 hour
- Difficulty
- Easy
- Steps
- 10
What you need
Steps
Set aside a full hour and start at 0:12 with simplifying expressions. Combine like terms, expand brackets and clear fractions before you move on to the next section.
At 6:32 the guide moves to solving equations. Undo the operations in reverse order and do the same thing to both sides to keep the equation balanced.
At 12:10 you reach inequalities. Solve them like equations, but flip the sign whenever you multiply or divide by a negative number.
At 17:28 comes functions and function notation. Practise reading f(x) as the output for a given input, and substitute numbers into the bracket.
At 20:46 linear functions are covered. Link the slope and y-intercept to the graph, and rewrite equations into y = mx + b form.
At 23:27 you get systems of equations. Pick substitution when one variable is already isolated, and elimination when the coefficients line up.
At 30:17 the guide covers exponent rules. Write each rule down as a short line, then apply them to products, quotients and powers of powers.
At 33:39 you multiply polynomials. Use the distributive property or FOIL, then collect like terms and check the signs carefully.
At 37:41 factoring starts. Take out the greatest common factor first, then find two numbers that multiply to the constant and add to the middle coefficient.
At 46:08 quadratics finish the review. Move everything to one side, factor, and set each factor equal to zero to get both solutions.
Tips and common mistakes
Pause before each worked example and try it yourself, then compare your line with the solution.
Write every step on paper instead of doing it in your head, because most lost marks come from skipped lines.
Check a factored answer by expanding it back out, and check a solution by substituting it into the original equation.
If a section feels shaky, rewatch just that chapter rather than restarting the whole hour.
Questions
How do I solve a quadratic equation by factoring?
Write the equation as ax² + bx + c = 0, factor the left side into two brackets, then set each bracket equal to zero and solve for x. You should end up with two values.
Do I have to watch the sections in order?
No. Each chapter stands alone, so you can jump straight to factoring at 37:41 or quadratics at 46:08. The earlier sections are still worth a look if you keep making sign errors.
How long does the review take?
The video runs about 51 minutes. With pauses to try the examples yourself, plan for 75 to 90 minutes.
This guide was drafted from the video's details and general task knowledge. It has not been checked against the full video. Check the video and relevant product instructions before following a procedure. Report a correction.
