x = 25 3. 3 Linear Inequalities – Ex.1: Graph: Ex.2: Graph: y < 3. 4 Solving Linear Inequalities using Addition and Subtraction – Ex: Solve and graph: 3. 5 Solving Linear Inequalities using Multiplication and Division – When dividing or multiplying by a negative number, flip the sign. Ex.1: Solve and graph: *flip the sign Ex.2: Solve and graph: 7a > flip the sign a > -3 *don’t Unit 4 Review Notes – LINEAR RELATIONS 4. 1 Writing Equations to Describe Patterns – Ex.1: a pattern of plots made with boards for a garden. Here’s The pattern continues. Make a table of values to show the relationship between number of boards and the number b of plots p. Plots, p 1 2 3 4 Boards, b 4 7 10 13 Write an expression for the number of boards, for any number of plots, b p. 3p+1 Write an equation that relates the number of boards, to the number of plots, b p. b=3p+1 How many boards will there be when there are 9 plots? b=3(9)+1 = 27+1= 28 A Taxi Company charges a fixed cost of $3.60 and $1.50 per kilometre Ex. #2
x = 25 3. 3 – Linear Inequalities Ex.1: Graph: Ex.2: Graph: y < 3. 4 – Solving Linear Inequalities using Addition and Subtraction Ex: Solve and graph: 3. 5 – Solving Linear Inequalities using Multiplication and Division When dividing or multiplying by a negative number, flip the sign. Ex.1: Solve and graph: *flip the sign Ex.2: Solve and graph: 7a > *don’t flip the sign a > -3 Unit 4 Review Notes – LINEAR RELATIONS 4. 1 – Writing Equations to Describe Patterns Ex.1: Here’s a pattern of plots made with boards for a garden. The pattern continues. Make a table of values to show the relationship between number of boards b and the number of plots p. Plots, p 1 2 3 4 Boards, b 4 7 10 13 Write an expression for the number of boards, b for any number of plots, p. 3p+1 Write an equation that relates the number of boards, b to the number of plots, p. b=3p+1 How many boards will there be when there are 9 plots? b=3(9)+1 = 27+1= 28 Ex. #2 A Taxi Company charges a fixed cost of $3.60 and $1.50 per kilometre