Presentation is loading. Please wait.

Presentation is loading. Please wait.

Linear Equations Learning Outcomes

Published byCornelius Cobb Modified over 8 years ago

Similar presentations

Presentation on theme: "Linear Equations Learning Outcomes"— Presentation transcript:

1 Linear Equations Learning Outcomes
Changing the subject of a formula (Grade C/A) Solve linear equations (Grade F/E) Solve linear equations with brackets (Grade E) Solve linear equations with unknowns on both sides (Grade D) Set up and solve linear equations (Grade C) Solve simultaneous linear equations (Grade B) Set up and solve simultaneous linear equations (Grade A)

2 Changing the subject of a formula

3 Changing the subject of a formula

4 Rules for changing the subject of a formula
Step 1. FRACTIONS? Remove any fractions by multiplying both sides by the denominator. Step 2. BRACKETS? Expand any brackets. Step 3. NEW SUBJECT ON BOTH SIDES? Collect the new subject on one side of the equals sign. Step 4. MORE THAN ONE OF THE NEW SUBJECT? Simplify or Factorise Step 5. Rearrange to get the new subject on its own.

5 Changing the subject of a formula

6 Changing the subject of a formula

7 Changing the subject of a formula

8 Rules for solving linear equations
Step 1. BRACKETS? Expand any brackets. Step 2. UNKNOWN ON BOTH SIDES? Collect the new subject on one side of the equals sign. Step 3. Solve!

9 Solving Linear Equations

10 Solving Linear Equations

11 Solving Linear Equations

12 Solving Linear Equations

13 Solving Linear Equations

14 Solving Linear Equations

15 Solving Linear Equations

16 Solving Linear Equations

17 Solving Linear Equations (two operations)

18 Solving Linear Equations (two operations)

19 Solving Linear Equations (two operations)

20 Solving Linear Equations (with brackets)

21 Solving Linear Equations (with brackets)

22 Solving Linear Equations (with brackets)

23 Solving Linear Equations (two operations)

24 Solving Linear Equations (two operations)

25 Solving Linear Equations (x on both sides)

26 Solving Linear Equations (x on both sides)

27 Solving Linear Equations (x on both sides)

28 Solving Linear Equations (x on both sides)

29 Solving Linear Equations (x on both sides)

30 Set up and solve linear equations

31 Set up and solve linear equations

32 Set up and solve linear equations

33 Solve linear equations with fractions.

34 Solve simultaneous linear equations

35 Solve simultaneous linear equations

36 Solve simultaneous linear equations (substitution)

37 Solve simultaneous linear equations

38 Solve simultaneous linear equations

39 Solve simultaneous linear equations

40 Set up and solve simultaneous linear equations

Download ppt "Linear Equations Learning Outcomes"

Similar presentations

Revision - Simultaneous Equations II

Revision - Simultaneous Equations II
Solving Equations Learning Outcomes  Manipulate and simplify simple expressions including removal of brackets  Solve linear equations, with or without.

Solving Equations Learning Outcomes  Manipulate and simplify simple expressions including removal of brackets  Solve linear equations, with or without.
Expand the brackets. What are the missing coefficients?

Expand the brackets. What are the missing coefficients?
Solving Linear Equations Rule 7 ‑ 1: We can perform any mathematical operation on one side of an equation, provided we perform the same operation on the.

Solving Linear Equations Rule 7 ‑ 1: We can perform any mathematical operation on one side of an equation, provided we perform the same operation on the.
Table of Contents First, find the least common denominator (LCD) of all fractions present. Linear Equations With Fractions: Solving algebraically Example:

Table of Contents First, find the least common denominator (LCD) of all fractions present. Linear Equations With Fractions: Solving algebraically Example:
Basic Maths Session 2: Basic Algebra. Intended learning objectives  At the end of this session you should be able to:  substitute numbers for letters.

Basic Maths Session 2: Basic Algebra. Intended learning objectives  At the end of this session you should be able to:  substitute numbers for letters.
Level 3Level 4Level 5Level 6Level 7/8 Solving Equations I am beginning to understand the role of the = sign I can find missing numbers. I can construct.

Level 3Level 4Level 5Level 6Level 7/8 Solving Equations I am beginning to understand the role of the = sign I can find missing numbers. I can construct.
Surds Learning objectives Different kind of numbers

Surds Learning objectives Different kind of numbers
SOLVING LINEAR EQUATIONS. Example 1 Solve take 3 from both sides divide both sides by 2.

SOLVING LINEAR EQUATIONS. Example 1 Solve take 3 from both sides divide both sides by 2.
Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = 24 -12 3x = 12 x = 4 Multiply brackets out.

Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = x = 12 x = 4 Multiply brackets out.
1 Warm Up 3 Points Total 1 for each Solve and check: 7x – 2 = 4x 2) 7(5x – 2) = 6(6x – 1) 3) 3x – 3 = 5(x – 4)

1 Warm Up 3 Points Total 1 for each Solve and check: 7x – 2 = 4x 2) 7(5x – 2) = 6(6x – 1) 3) 3x – 3 = 5(x – 4)
Linear Inequalities By Dr. Carol A. Marinas. Solving Linear Equations Linear Equations have no exponents higher than 1 and has an EQUAL SIGN. To solve.

Linear Inequalities By Dr. Carol A. Marinas. Solving Linear Equations Linear Equations have no exponents higher than 1 and has an EQUAL SIGN. To solve.
Simplifying Equations Before Solving

Simplifying Equations Before Solving
Chapter 1 - Fundamentals 1.5 - Equations. Definitions Equation An equation is a statement that two mathematical statements are equal. Solutions The values.

Chapter 1 - Fundamentals Equations. Definitions Equation An equation is a statement that two mathematical statements are equal. Solutions The values.
Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)

Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)
Chapter 7 Systems of Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 7.3 Partial Fractions.

Chapter 7 Systems of Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Partial Fractions.
1 Example 1 Evaluate Solution Since the degree 2 of the numerator equals the degree of the denominator, we must begin with a long division: Thus Observe.

1 Example 1 Evaluate Solution Since the degree 2 of the numerator equals the degree of the denominator, we must begin with a long division: Thus Observe.
To add fractions, you need a common denominator. Remember!

To add fractions, you need a common denominator. Remember!
Introduction This Chapter focuses on solving Equations and Inequalities It will also make use of the work we have done so far on Quadratic Functions and.

Introduction This Chapter focuses on solving Equations and Inequalities It will also make use of the work we have done so far on Quadratic Functions and.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.

Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.

Similar presentations

Ads by Google