Simplify Algebraic Expressions Means Combine Like Terms

3x + 6 Algebraic Expression A number sentence with At least one variable (letter or symbol) No equals sign! constant 3x + 6 variable coefficient

Write this down! Term Ex. 4x + 5z – 6 + 7fg + 5x A piece of an expression Terms are separated by addition and subtraction Ex. 4x + 5z – 6 + 7fg + 5x There are 5 terms in this expression!

How many terms in these expressions? 5 + j2 2 terms 6 – 8t + 3r 3 terms 4 + 3g – 7k + 8k 4 terms 6h 1 term 5 + j2 6 – 8t + 3r 4 + 3g – 7k + 8k 6h

Write this down! Like Terms Ex. 4x + 5z – 6 + 7fg + 5x Terms with exactly the same variable (even powers on the variables match) Ex. 4x + 5z – 6 + 7fg + 5x 4x and 5x are like terms!

Which terms in each expression are like terms? 3w2 + 4y – 7w2 4f2 – 2f + 4f2 + 4f3 4r – 7h + 3r + 10h 3 – y + 21 + 4y + 5k 3w2 + 4y – 7w2 4f2 – 2f + 4f2 + 4f3 4r – 7h + 3r + 10h 3 – y + 21 + 4y + 5k

Write this down! Combine Like Terms Steps: 1. Put a circle around the first term. 2. Circle all like terms. 3. put a shape around the next term 4. put same shape around all like terms. 5. Repeat steps 3 and 4. 6. add the coefficients of each kind of term to find your answer.

Write this down! Example: 4r + 6y – 3r + 4 – 2y 1r 4-3 = 1 + 4y 6 – 2 = 4 + 4

You do this one! 3d2 + 4c – d2 + 2 + 10c + 4cd 2d2 + 2 + 14c + 4cd 3-2 4 + 10 2d2 + 2 + 14c + 4cd