Presentation on theme: "Linear Equations in One Variable -We will solve linear equations -We will solve linear equations containing fractions. -We will solve a formula for a variable."— Presentation transcript:
Linear Equations in One Variable -We will solve linear equations -We will solve linear equations containing fractions. -We will solve a formula for a variable. -We will identify equations with no solution or infinitely many solutions
Equivalent Equations Equivalent equations – When you take an original equation and perform the same transformation to both sides.
Solving Linear Equations in One Variable. - We will solve linear euqations.
The Multiplication Property of Equality
Showing Multiplication on a balance 2x = 14
Using Properties of Equality to Solve Equations.
Solving a Linear Equation
Solving Linear Equations Involving Fractions. - We will solve linear equations with fractions
Using a Formula for a Given Result
Solving a Formula for a Variable - We will solve a formula for a variable.
Solving a Formula for a Variable
Parallel Equations - We will identify equations with no solutions or infinitely many solutions.
Applications of Linear Equations We will use linear equations to solve problems. We will ascertain linear equations from word problems.
Problem Solving with Linear Equations 1.Read the problem carefully at least twice. Attempt to state the problem in your own words and state what the problem is looking for. Let x (or any variable) represent one of the quantities in the problem. 2.If necessary, write expressions for any other unknown quantities in the problem in terms of x. 3.Write an equation in x that models the verbal conditions of the problem. 4.Solve the equation and answer the problem’s question. 5.Check the solution in the original wording of the problem, not in the equation obtained from the words. - We will use linear equations to solve problems. Strategy for solving word problems
Converting Words to expressions 4 times what number gives 20? What number divided by 5 gives 2? What number minus 8 gives 4 What number cubed gives 27 What number plus 4 gives 16 Pg 324 in your book has a more complete list.
Modeling for a word problem How much will it cost for you to drive to San Francisco, California from North Smithfield, Rhode Island? The trip is 3700 miles and your car will average 30 miles/gallon on the highway. The national average for gasoline is How many times will you have to stop for gas is your tank is 17 gallons? - We will ascertain linear equations from word problems.
Assigning x to a variable in a word problem. The sum of three consecutive odd numbers is 21, what are the three numbers?
Assigning the correct meaning to x A coach will order baseball caps from one of two companies. – Creative Caps charges a one time fee of $50, plus $5 per baseball cap. – Happy Hats charges a one-time fee of $30, plus $6 per baseball cap. a.Write an algebraic expression to represent the amount that each company charges for an order of baseball caps. b.The coach wants to buy baseball caps from the least expensive company. In terms of the number of baseball caps, when should the coach order the baseball caps from Creative Caps?