Linear expressions for 7th grade mathematics learners

linear expressions

1. Linear Expressions

2. RULES FOR ADDITION Put the two sets of expressions on top of each other to add like terms Simplify

3. Ex. 1) Simplify. Solve the columns. ( 8x + 3) + (-6x + -2 ) 2 x + 1 Rewrite vertically with like terms in columns . 8x + 3 + -6x + -2

4. Ex. 2 ) Simplify. (-5x – 9) + (6x + 1 ) = 1x – 8 Rewrite vertically with like terms in columns . Solve the columns. -5x – 9 + 6x + 1

5. RULES FOR SUBTRACTION The subtraction sign in front of an expression in parentheses means that you will have to “distribute” the negative to everything inside . We can rewrite the problem: Change the minus sign to a plus sign Change all of the #s inside the parentheses to their opposites

6. Ex. 1) Simplify. (8x + 3) – (6x + 2) Rewrite as adding the opposite. Solve the columns. ( 8x + 3) + ( - 6x + - 2 ) 2 x + 1 Rewrite vertically with like terms in columns . 8 x + 3 + -6x + -2

7. Ex. 2) Simplify. (-6x + 1 ) – (2x – 5) (-6x + 1) + ( - 2 x + 5) -8x + 6 Rewrite as adding the opposite. Rewrite vertically with like terms in columns . Solve the columns. -6x + 1 + -2x + 5

8. Ex. 3) Subtract (-2x + 5) from (-4x – 7). (-4x – 7 ) + ( + 2 x + - 5) -4x + -7 + 2 x + -5 = -2x – 12 (-4x – 7) – (-2x + 5) Be careful with order as you set up the subtraction problem! Rewrite as adding the opposite. Rewrite vertically with like terms in columns . Solve the columns.

9. Ex. 4 ) Simplify. Rewrite as adding the opposite. Rewrite vertically with like terms in columns . Solve the columns.