Download Presentation
## Homework check day!

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Homework check day!**• Please take out your homework from yesterday Academic: Rearranging equations sheet #1 – 3 Applied: Page 3 #4, 6, 10**Solving Linear Systems Graphically**Friday, Jan 31st**Review: Solving Equations**A single equation with one variable has just one solution. Example: –2 – 5x = 13 • x = 2 • x = -2 • x = 3 • x = -3**Review: Solving Equations**A single equation with one variable has just one solution. Example: –2 – 5x = 13 • x = 2 • x = -2 • x = 3 • x = -3**Review: Solving Equations**A single equation with two variables has infinite solutions. Which of the following is a solution to: 3x – 2y = 5 • (1, -4) • (1, 4) • (-1, 4) • (-1, -4)**Review: Solving Equations**A single equation with two variables has infinite solutions. Which of the following is a solution to: 3x – 2y = 5 • (1, -4) • (1, 4) • (-1, 4) • (-1, -4)**Review: Solving Equations**A system of two equations with two common variables has justone solution. Example: x – y = 4 x + 2y = 13 A) x = 6, y = 2 B) x = 5, y = 4 C) x = 7, y = 3 D) x = 8, y = 4**Review: Solving Equations**A system of two equations with two common variables has justone solution. Example: x – y = 4 x + 2y = 13 A) x = 6, y = 2 B) x = 5, y = 4 C) x = 7, y = 3 D) x = 8, y = 4**Solving Equations with Fractions**Example: 3 4 A B = Solution: 4 3 A = B**Solving Equations with Fractions**Example: 7 2 B = – A Solution: 2 7 A = – B**Try it!**You have 2 minutes to try the last two questions on your sheet from yesterday!**Review: Graphing Linear Functions**What is the slope of y = 3x + 1 • 3 • 1 • 1/3 • -1/3**Review: Graphing Linear Functions**What is the slope of y = 3x + 1 • 3 • 1 • 1/3 • -1/3**Review: Graphing Linear Functions**What is the x-intercept of y = 3x + 1 • 3 • 1 • 1/3 • -1/3**Review: Graphing Linear Functions**What is the x-intercept of y = 3x + 1 • 3 • 1 • 1/3 • -1/3**Review: Graphing Linear Functions**What is the y-intercept of y = 3x + 1 • 3 • 1 • 1/3 • -1/3**Review: Graphing Linear Functions**What is the y-intercept of y = 3x + 1 • 3 • 1 • 1/3 • -1/3**Review: Graphing Linear Functions**Graph y = 3x + 1**Review: Graphing Linear Functions**In your teams, sketch a graph of the following on a whiteboard: y = 2x – 3 y = ½x + 1 y = –2x + 3 Extra challenge: Graph 6x – 2y = 8**Review: Graphing Linear Functions**In your teams, sketch a graph of the following on a whiteboard: y = 2x – 3 y = ½x + 1 y = –2x + 3 Extra challenge: Graph 6x – 2y = 8**New Methods for Solving Equation Systems!**Today’s method for solving equations: graph them!**Solving Equations Graphically**Example: In the Barcelona Olympics, Canadian men and women won a total of 7 gold medals. Women athletes won one more gold medal than the men athletes. • Set up equations to describe this scenario x + y = 7 y – x = 1 X = number of male medalists Y = number of female medalists**Solving Equations Graphically**Example: In the Barcelona Olympics, Canadian men and women won a total of 7 gold medals. Women athletes won one more gold medal than the men athletes. • Set up equations to describe this scenario x + y = 7 y – x = 1 X = number of male medalists Y = number of female medalists • Rearrange each equation for y y = –x + 7 y = x + 1**Solving Equations Graphically**• Rearrange each equation for y y = –x + 7 y = x + 1 • Graph each equation and look for their intersection point (3, 4)**Solving Equations Graphically**In teams of two, use the graphing calculator on the ipads to solve the following systems of equations: • y = –3x + 7, y = 4x – 5 • 10x + 2y = 8, 3y – x = 12 • x – 3y = 27, 2y + x = 20 Next, attempt to solve the following systems of equations: • y = 2x + 3, y = 2x – 1 • y = –x + 3, 2x + 2y = 6 What do you notice about the solutions to #4 and #5?**Solving Equations Graphically**There are three kinds of linear equations: • Intersecting – has one solution Different slopes 2) Parallel – has no solutions Same slope, different intercepts 3) Coincident – has infinite solutions Same slope, same intercepts**Individual Practice**Using the ipads, try problems: Page 12 #1, 3, 5 – 8 (do a,c,e,…) Homework: Page 4 - 5 1-ordered pairs and one equation #1, 2 2-ordered pairs and two equations #1, 2 3-problem solving #1 Rearranging equations sheet #4, 5