Solving Equations With Variables on Both Sides Lesson

Solving Equations With Variables on Both Sides Lesson Objective: To use what we already know to solve equations with variables on both sides.

WARM UP ADVANCED MATH 7 1. Come into the room quietly. 2. Take a Problem Solving w/ Integers worksheet from the front of your row. Begin working on the assignment with one partner. You have until 12: 45 pm 3. 4.

Tools for the Tool Distribut ive Prope rty Box!! g n i b m Co s m r e t e lik Add ition Sub trac & Pro t per ion ties of E qua lity n o i t a c i l p Multi n o i s i v i D & f o s e i t r Prope y t i l a u q E

Steps to Solve Equations with Variables on Both Sides v v v Eliminate ( ) on both sides of equation using the distributive property. Combine any like terms on both sides. Collect variable on one side of the equation Collect constants on the other side of the equation Solve

Use Steps to Solve Equation: 2(x + 7) + 3 = 4 x - 1 2 x + 14 + 3 = 4 x – 1 2 x + 17 = 4 x - 1 -2 x 17 = 2 x - 1 +1 +1 18 = 2 x 2 2 9= x 1) Eliminate ( ) --distribute 2) Combine like terms 3) Collect variables on same side – use inverse operation 4) Collect constants on same side – use inverse operations

Check - replace “x” with solution 2(x + 7) + 3 = 4 x - 1 2(9 + 7) + 3 = 4(9) - 1 2(16) + 3 = 4(9) - 1 32 + 3 = 36 - 1 35 = 35 X=9 1) Replace X = 9 2) Follow order of operations on both sides of equation 3) Checks is the solution to the equation

Use Steps to Solve Equation: 3 x + 14 = 5 x + 8 -3 x 14 = 2 x + 8 -8 -8 6 = 2 x 2 2 x= 3 2) Combine like terms 3) Collect variables on same side – use inverse operation 4) Collect constants on same side – use inverse operations

Use Steps to Solve Equation: 4(1 – 2 x) = 4 – 6 x 4 – 8 x = 4 - 6 x + 6 x 4 - 2 x = 4 -4 -4 -2 x = 0 -2 -2 x= 0 Get rid of ( ) -- distribute Get variables on same side – use inverse operation (add 6 x) Solve 2 step equation

Review Steps to Solve Equations with Variables on Both Sides v v v Eliminate ( ) on both sides of equation using the distributive property. Combine any like terms on both sides. Collect variable on one side of the equation Collect constants on the other side of the equation Solve

Tools for the Tool Distribut ive Prope rty Box!! g n i b A m ddit o C s i m o r n& S e t u e b trac lik Pro per tion ties qua lity of E Integer Rules n o i t a c i l p Multi n o i s i v i D & f o s e i t r Prope y t i l a u q E

Solve the Equation 6 x – 2 = x + 13

Solve the Equation 4 k – 3 = 3 k + 4

Solve the Equation 3 + 4 x = 3 x + 6

Solve the Equation 2(y + 3) = - 4 y - 6

Solve the Equation - 2 y + 5 = 5(y + 2)