Solving Equations Using Addition and Subtraction

Slides:

Advertisements

Similar presentations

Solving Linear Equations

Advertisements

Solving Equations with the Variable on Both Sides

Standardized Test Practice

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

Solving Linear Equations To Solve an Equation means... To isolate the variable having a coefficient of 1 on one side of the equation. Examples x = 5.

Evaluating Algebraic Expressions 1-7 Solving Equations by Adding or Subtracting Preparation for AF4.0 Students solve simple linear equations and inequalities.

Solving Equations Using Multiplication and Division 4 A.4f Apply these skills to solve practical problems. 4 A.4b Justify steps used in solving equations.

 A.4f Apply these skills to solve practical problems.  A.4b Justify steps used in solving equations.  Use a graphing calculator to check your solutions.

Solving Multi-Step Equations Objectives: to solve equations involving more than one operation. to solve problems by working backward. A.1 Solve linear.

Lesson 1-8 Solving Addition and Subtraction Equations.

2.1 Solving One Step Equations: Equivalent Equations: equations that have the same solutions. Isolate: Get a variable with a coefficient of 1 alone on.

Solving Equations Using Addition and Subtraction A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Objectives.

Solving Addition and Subtraction Equations Lesson 2.3 and 2.4.

 A.4f Apply these skills to solve practical problems.  A.4b Justify steps used in solving equations.  Use a graphing calculator to check your solutions.

Solving Equations with Addition or Subtraction Medina1.

Single-Step Equations Addition/Subtraction Multiplication/Division Substitution Simplifying Expressions.

Holt McDougal Algebra Solving Equations by Adding or Subtracting Warm Up Evaluate. 1.   (0.29) Give the opposite of each number.

Solving Equations Using Addition and Subtraction A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Use.

1.7: Adding Like Terms TERM: A number, a variable, or the product of the two.Ex: a, 3x, 2x, 5, CONSTANT: a term with no variable (number) Ex: 4, -1, 6,

6-5 Solving Absolute Value Equations

2-3 Solving Equations Using Multiplication and Division

Solving Equations Using Multiplication and Division

Bell Ringer What value(s) of x make the sentence true? 7 + x = 12

Solving Addition and Subtraction Equations

Solving Equations with the Variable on Both Sides

2-3 Solving Equations Using Multiplication and Division

Solving Multi-Step Equations

Objective The student will be able to:

Objective 3.6 solve multi-step inequalities.

One-Step Equations with Subtraction

Using Addition & Subtraction

Solving Linear Equations

The Equal Sign and Integers

Solving Equations Using Addition and Subtraction

Example 2 4 m 8 m 5m 12 m x y.

Algebraic Equations Solving One Step Equations with Whole Numbers

Solving Equations with the Variable on Both Sides

Using Addition & Subtraction

Introduction Two equations that are solved together are called systems of equations. The solution to a system of equations is the point or points that.

Solving Multi-Step Equations

Example 2 4 m 8 m 5m 12 m x y.

Solving Multi-Step Equations

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

Equations with Variables on Both Sides Day 2

Chapter 3-3 Solve Equations by Adding/Subtracting

2-1 & 2-2: Solving One & Two Step Equations

Solving Multi-Step Equations

Learn to solve equations with integers.

Solving One Step Equations

Using Addition & Subtraction

Warm Up Solve. 1. 2x + 9x – 3x + 8 = –4 = 6x + 22 – 4x 3. + = 5

Solving Equations Finding Your Balance

Solving Equations with Variables on Both Sides 4:3

Solving 1-Step Integer Equations

Solving Multi-Step Equations

Bell work Week 20.

Solving Multi-Step Equations

ONE STEP EQUATIONS Addition and Subtraction

Solving Multi-Step Equations

Solving Multi-Step Equations

Solving Multi-Step Equations

3.2 Multiplication Property of Equality

6.3 Using Elimination to Solve Systems

Solving Multi-Step Equations

Practice sheet 4-1 Go over Homework.

Using Addition & Subtraction

BELL RINGER Go over Homework.

Using Addition & Subtraction

3.1 The Addition Property of Equality

Solving Linear Equations

Presentation transcript:

Solving Equations Using Addition and Subtraction Objectives: A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Use a graphing calculator to check your solutions.

To Solve an Equation means... To isolate the variable having a coefficient of 1 on one side of the equation. Ex: x = 5 is solved for x. y = 2x - 1 is solved for y.

Addition Property of Equality For any numbers a, b, and c, if a = b, then a + c = b + c. What it means: You can add any number to BOTH sides of an equation and the equation will still hold true.

An easy example: We all know that 7 = 7. Does 7 + 4 = 7? NO! Would you ever leave the house with only one shoe on? Would you ever put blush on just one cheek? Would you ever shave just one side of your face? We all know that 7 = 7. Does 7 + 4 = 7? NO! But 7 + 4 = 7 + 4. The equation is still true if we add 4 to both sides.

Let’s try another example! Always check your solution!! The original problem is x - 6 = 10. Using the solution x=16, Does 16 - 6 = 10? YES! 10 = 10 and our solution is correct. x - 6 = 10 Add 6 to each side. +6 +6 x = 16

What if we see y + (-4) = 9? Check your solution! Does 13 - 4 = 9? YES! 9=9 and our solution is correct. Recall that y + (-4) = 9 is the same as y - 4 = 9. Now we can use the addition property. y - 4 = 9 +4 +4 y = 13

How about -16 + z = 7? Remember to always use the sign in front of the number. Because 16 is negative, we need to add 16 to both sides. -16 + z = 7 +16 +16 z = 23 Check you solution! Does -16 + 23 = 7? YES! 7 = 7 and our solution is correct.

A trick question... Check your solution! Does -(-15)-10=5? +10 +10 -n = 15 Do we want -n? NO, we want positive n. If the opposite of n is positive 15, then n must be negative 15. Solution: n = -15 Check your solution! Does -(-15)-10=5? Remember, two negatives = a positive 15 - 10 = 5 so our solution is correct.

Subtraction Property of Equality For any numbers a, b, and c, if a = b, then a - c = b - c. What it means: You can subtract any number from BOTH sides of an equation and the equation will still hold true.

3 Examples: 1) x + 3 = 17 3) z - (-5) = -13 -3 -3 -3 -3 x = 14 Does 14 + 3 = 17? 2) 13 + y = 20 -13 -13 y = 7 Does 13 + 7 = 20? 3) z - (-5) = -13 Change this equation. z + 5 = -13 -5 -5 z = -18 Does -18 -(-5) = -13? -18 + 5 = -13 -13 = -13 YES!

Try these on your own...

The answers...