Algebra PDF

Algebra Algebraic equations are essentially formulas that can be rearranged to solve for an unknown variable ( x, y, z etc.) Uses of Algebra in Plumbing Unknown dimensions in objects Unknown lengths of pipes Electrical Equations Science Equations  Adding and Subtracting Terms in Algebra...

Algebra Algebraic equations are essentially formulas that can be rearranged to solve for an unknown variable ( x, y, z etc.) Uses of Algebra in Plumbing Unknown dimensions in objects Unknown lengths of pipes Electrical Equations Science Equations  Adding and Subtracting Terms in Algebra If you wish to move something from one side to the other conduct the OPPOSITE operation on both sides. For Example: If you wish to isolate X in this instance: simply do the opposite operation of 10 (which is -10) to both sides to get a final answer of x = -8  Adding and Subtracting Terms Do the opposite operation of +10 (which is -10) to start isolating the variable (x) Subtract 5x from both sides to get the x’s on one side of the equation divide by 5 to get a final answer (for what x is equal to) of -2 Adding and Subtracting Terms Adding and Subtracting Terms  Multiplying and Dividing Terms in Algebra When multiplying and Dividing Terms, it works similar to adding and subtracting terms. You simply do the opposite operation on BOTH SIDES! Example: In the below equation solve for X: Solve for X by dividing both sides by 2 to get W/2 = X  Multiplying and Dividing Terms Solve for A: to isolate for a, you will need to do the opposite operation of b, (which is multiplication) in order to get it to the other side. Since b/b is 1, you can elimate b from the left side of the equation! If c = 10, b =15, d =20 determine a Examples Key Points In algebra, a × b can be written as ‘ab’. When multiplying terms, you need to mult iply the numbers togeth er and then multiply the letters separately. Have a go... Answer Key Multiplying Terms with Indices  Ready for a challenge? 1. Simplify the expression 2. Find an expression for the area of the triangle  Solutions 1. Simplify the expression 2. Find an expression for the area of the triangle  Ready for a challenge? 1. Solve for h when given A= 32, b1 = 7 b2=9 2. Solve for C  Solutions 1. Solve for h when given A= 32, b1 = 7 b2=9 2. Solve for C when a = 3 and b = 4 Thank you for listening Any Questions?