The Algebra Commandments
Items to Remember 1.Circle or highlight then RENAME key words to make it easier to understand! 2.Use the process of elimination on EVERY problem!
Review Day 1 Review Day 1
I. Benquad Anytime you see a variable squared, use benquad. (x 2 ) – Think of your two best friends – Ben and Quad Prime is NOT pretty!!!
II. Exponent Rules When you multiply variables, you add the exponents, (so exponents get larger) x = + When you divide variables, you subtract the exponents, (so exponents get smaller) / = ─
Review Day 2 Review Day 2
III. Distributive Property Car Wreck – Everyone behind must adjust their driving to avoid the wreck!!! - (2x + 5) = -2x – 5 7(8x + 3) = 56x + 21
IV. Equations & Inequalities Distributive Property Combine Like Terms Cancel a variable Solve Reverse the sign if: Multiplied by a negative Divided by negative Changed the side of the variable
V. Absolute Value Get absolute value by itself first! Remember to write TWO equations/inequalities When linear, creates a “v-shaped” graph
Review Day 3 Review Day 3
VI. Substitution Property Also known as... plug it in Important: Remember to ALWAYS place the number you are substituting inside parentheses!!!
VII. Matrices Reminder: Numbers must be in corresponding places to work with. To find the scalar you can – set up an equation and solve – set up a proportion – divide the second number by the first
Let’s Practice! SATP Take 1 Days 4 & 5 Let’s Practice! SATP Take 1 Days 4 & 5
Review Day 6 Review Day 6
VIII. The Lineareq Program Use for anything with linear equations! slope distance midpoint write an equation slope-intercept form standard form
IX. Parallel & Perpendicular Parallel means equal slope There is an equal sign hiding in the word, can you find it? Perpendicular has two “P”s, so there are two things that we must do inverse (opposite sign) reciprocal (flip it)
X. Rate of Change Also known as slope This is found using the formula: Rise Run
Review Day 7 Review Day 7
XI. Scatter Plots & Stats Use your STAT key when given a chart or points. Use EDIT to enter data into lists Use CALC after data is entered to find the line-of-best-fit (#4 when x, or #5 when x 2 )
XII. The Asystems Program This program can be used anytime you are given a system of equations written in standard form. It will identify the intersection and also graph the lines.
XIII. When you see y=, do something with it! This can be used anytime you want to graph an equation or inequality. Remember: it must be written in slope-intercept form!!! You can also calculate various points such as an intersection and points using this button.
Review Day 8 Review Day 8
XIV. Polynomials Working with polynomials I is important to remember the rules of exponents… 1)You may only add and subtract like terms 2)When multiplying variables, add exponents 3)When dividing variables, subtract exponents USE YOUR FORMULA CHART!
XV. Circles Diameter is the distance from one end of a circle to the other, crossing through the middle. Radius is the distance from the center of the circle to the edge. It is half the distance of the diameter. Circumference = πd Area = πr 2
XVI. The Pythagorean Theorem This is used when dealing with calculating distance of one side of a right triangle. a 2 + b 2 = c 2 a and b are legs, c is the hypotenuse
Let’s Practice! SATP Take 2 Days 9 & 10 Let’s Practice! SATP Take 2 Days 9 & 10
Extra: The Boolean Mode Boolean Mode also known as checking mode 1 = correct 0 = incorrect Destroy those problems using Boolean Algebra 1)Name a value for each variable. 99 99 1 2)Enter the problem. 3)Put the calculator in Boolean mode. 1 4)Enter the answer for choice A, then press .
SearchDestroy Go on a Search & Destroy Mission! If you get a result of 0, then it is NOT the correct answer choice. Replace choice A with choice B. 1) 2) until only the problem remains. 3)Enter answer choice B. 4)Repeat steps 1 – 3 until you get an answer of 1, indicating you have found the correct answer choice. Boolean Mode also known as checking mode 1 = correct 0 = incorrect