One Variable One Variable EquationsEquations

TSWBAT solve one variable TSWBAT solve one variable equations using laws of addition, equations using laws of addition, subtraction, multiplication, and subtraction, multiplication, and

division.division.

One variable EquationsOne variable Equations

There are 4 steps –There are 4 steps – Step 1 Simplify by Distribution or Step 1 Simplify by Distribution or

by Combining Like Terms. by Combining Like Terms. Step 2 Add or Subtract the same value to Step 2 Add or Subtract the same value to

both sides to isolate the variable.both sides to isolate the variable. Step 3 Multiply or Divide the same value Step 3 Multiply or Divide the same value

to both sides to isolate the variable.to both sides to isolate the variable. Step 4 Check your answer.Step 4 Check your answer.

One Variable EquationsOne Variable Equations

Examples - Examples -

Word ProblemsWord Problems

TSWBAT solve word problems TSWBAT solve word problems by translating word sentences by translating word sentences into one variable equations.into one variable equations.

Steps to solve a Word Steps to solve a Word ProblemProblem

Step 1 – Read the ProblemStep 1 – Read the Problem Step 2 – Draw a picture/diagram/graphStep 2 – Draw a picture/diagram/graph Step 3 – Define your variableStep 3 – Define your variable Step 4 – Label picture/diagram/graphStep 4 – Label picture/diagram/graph Step 5 – Re-Read the problemStep 5 – Re-Read the problem Step 6 – Set up EquationStep 6 – Set up Equation Step 7 – SolveStep 7 – Solve Step 8 – Check your answerStep 8 – Check your answer

ExampleExample

Tickets to the Civic Center Tickets to the Civic Center Auditorium for a rock concert were Auditorium for a rock concert were $19 for seats near the front and $14 $19 for seats near the front and $14 for rear seats. There were 525 more for rear seats. There were 525 more rear seats sold than front seats, and rear seats sold than front seats, and sales for all tickets totaled $31,770. sales for all tickets totaled $31,770. How many of each kind of ticket How many of each kind of ticket were sold? were sold?

Draw a picture - Draw a picture -

ExampleExample

Define your Variable x=number of Define your Variable x=number of front seat tickets soldfront seat tickets sold

Label your drawing.Label your drawing. Re-Read the ProblemRe-Read the Problem Write Equation – Price X Number = Write Equation – Price X Number =

SalesSales

Front Sales + Rear Sales = Total Front Sales + Rear Sales = Total SalesSales

ExampleExample

Solve for x.Solve for x.

Check your answer.Check your answer.