Do Now 10/27/09 Take out HW from last night. Copy HW in your planner. Punchline worksheets #43 & #44 Copy HW in your planner. Text p. 127, #12-18 even, #22-30 evens, #33 Quiz sections 3.1 & 3.2 Thursday In your notebook, simplify the expressions below. -3(x + 4) -2a – 3 + 4a + 8 -4a – 3(a + 8)
“Books Never Written” “Did You Hear About…” JUSTIN HALE BUCK L UPSON Homework Punchline worksheets #43-44 “Books Never Written” JUSTIN HALE BUCK L UPSON OWEN E LEVIN “Did You Hear About…” THE GUY WHO INVESTED IN FEATHERS BECAUSE HE HEARD THAT THE STOCK MARKET WAS GOING DOWN
Objective SWBAT solve multi-step equations using algebra
-3(x + 4) = -3(x) + (-3)(4) = -3x + (-12) -2a – 3 + 4a + 8 -2a + 4a Remember this… -3(x + 4) = -3(x) + (-3)(4) = -3x + (-12) -2a – 3 + 4a + 8 -2a + 4a + (-3) + 8 = 2a + 5
-4a – 3(a + 8) -4a +(-3)(a + 8) -4a + (-3a) + (-24) -7a + (-24) Remember this… -4a – 3(a + 8) -4a +(-3)(a + 8) -4a + (-3a) + (-24) -7a + (-24)
Equation- mathematical sentence with an equal sign Like a scale, both sides must be EQUAL in order to be balanced.
Section 3.2 “Solving a Multi-Step Equation” How can you get the “unknown” by itself? 8x - 3x - 10 = 20 Solving Multi-Step Equations STEP 1- STEP 2- Combine like terms. STEP 3- “Undo” addition and/or subtraction. STEP 4- “Undo” multiplication and/or division. STEP 5- Solve for the variable. STEP 6- Check your work.
Solving Multi-Step Equations… Isolate the variable! Get ‘x’ by itself. 8x – 3x – 10 = 20 5x – 10 = 20 Combine like terms. 5x – 10 + 10 = 20 + 10 Add 10 to each side. 5x = 30 Simplify. = 30 5 5x Divide each side by 5. x = 6 Simplify.
8x – 3x – 10 = 20 x = 6 8(6) – 3(6) – 10 = 20 Check Your Work! 8(6) – 3(6) – 10 = 20 Are both sides equal?
Solving a Multi-Step Equation Solving Multi-Step Equations STEP 1 - Distributive Property STEP 2- Combine like terms. STEP 3- “Undo” addition and/or subtraction. STEP 4- “Undo” multiplication and/or division. STEP 5- Solve for the variable. STEP 6- Check your work.
Solving Multi-Step Equations Using the Distributive Property… 6x – 2(x – 5) = 46 Distributive property. 6x – 2x + 10 = 46 Combine like terms. 4x + 10 = 46 Subtract 10 from each side. 4x + 10 – 10 = 46 – 10 Simplify. 4x = 36 Divide each side by 4. = 4x 4 36 Simplify. x = 9
x = 9 6(9) – 2(9 – 5) = 46 Check Your Work! Are both sides equal? 6x – 2(x – 5) = 46 x = 9 6(9) – 2(9 – 5) = 46 Are both sides equal?
Guided Practice 2) p – 17p – 6 = -38 1) 6x – 2x + 11 = -5
Guided Practice 6x – 2(x + 11) = -6 6x + (-2x) + (-22) = -6
Guided Practice 27 = 3c – 3(6 – 2c) 27 = 3c + (-18) + 6c
Homework Text p. 127, #12-18 even, #22-30 evens, #33