2.2 Solve One-Step Equations You will solve one-step equations using algebra. Essential Question: How do you solve one- step equations using subtraction,

Slides:



Advertisements
Similar presentations
Solving 2 Step Equations
Advertisements

Solving Two-Step Equations
Solve an equation with variables on both sides
Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.
Solving one- and two-step equations. Solving One-Step Equations using Additive Inverse Steps Given the equation x + 4 = 9 use the inverse of adding 4.
Standardized Test Practice
Standardized Test Practice
Fill in the blank correctly 1.Dr. __________ wrote the Cat in the Hat. 2.___________ is the third planet from the sun. 3. There are _________ hours in.
© 2007 by S - Squared, Inc. All Rights Reserved.
Solving One and Two step Equations
Solving Two-Step Equations You will solve equations by undoing operations using properties of equality. Essential Question: How do you solve two-step equations?
Prerequisite Skills Pg. 130 #1-13 Copy and complete the statement. ANSWER 8 5 3x, 7x 1. In the expression 3x x, and are like terms. ?? 2. The reciprocal.
Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.
Warm Up  – Evaluate.  (0.29)
The Multiplication Principle of Equality 2.3a 1.Solve linear equations using the multiplication principle. 2.Solve linear equations using both the addition.
3.1 Solving Equations Algebra I.
Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Are operations that undo each other such as addition.
Big Ideas 3.4 Solving Equations Using Multiplication and Division
2.5 Solving equations with variables on both sides
Use the Distributive Property to: 1) simplify expressions 2) Solve equations.
1-8 Solving Equations by Adding or Subtracting Warm-up: Fluency Quiz. Sit with paper blank side up. Homework: Page 41 #4-8 even, #12-16 even, even,
I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.
5.3: Solving Addition Equations Goal #1: Solving Addition Problems Goal #2: Writing Addition Equations.
Multi Step Equations Copied from =ie7&rls=com.microsoft:en-us:IE- Address&ie=&oe=#hl=en&tbo=d&rls=com.microsoft:en-us:IE-
ALGEBRA READINESS LESSON 5-6 Warm Up Lesson 5-6 Warm-Up.
Using Subtraction, Addition, Multiplication and Division One Step Equations.
ESSENTIAL SKILLS: SOLVE EQUATIONS BY USING ADDITION AND SUBTRACTION SOLVE EQUATIONS BY USING MULTIPLICATION AND DIVISION 2-2: Solving One-Step Equations.
One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.
2.4 Solve Multi-Step Equations
3.1 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Solve One-Step Equations.
Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.
Solving One and Two step Equations Sol A.1. Ex. 1) Solve r + 16 = -7 Think of this equation as a balance scale. Whatever you do to one side has to be.
Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.
One-Step Equations I can show that solving an equation leads to finding the value that makes the equation true.
Use the substitution method
Example 2 Multiple Choice Practice
Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.
Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true = = 9 x = y +
EXAMPLE 6 Write and solve an equation Let r represent Crawford's speed in meters per second. Write a verbal model. Then write and solve an equation. SOLUTION.
Warm Up Solve. 1. x + 5 = 9 2. x – 34 = 72 = x – 39 x = 4 x = 106
OBJECTIVE I will find solutions to equations using division and multiplication.
2.2 Solving Two- Step Equations. Solving Two Steps Equations 1. Use the Addition or Subtraction Property of Equality to get the term with a variable on.
Do Now: Please finish word wall before you start equations
ALGEBRA READINESS LESSON 9-5 Warm Up Lesson 9-5 Warm-Up.
Solving One Step Equations subtract 3 Adding or subtracting the same number from each side of an equation produces an equivalent equation. Addition.
LAB: Inequalities with Negative Coefficients p.304 Q U E ST ION: How do you solve an inequality with a negative coefficient?
3. 3 Solving Equations Using Addition or Subtraction 3
2-2 Solving One-Step Equations
EXAMPLE 6 Write and solve an equation OLYMPICS
EXAMPLE 2 Rationalize denominators of fractions Simplify
Solving One-Step Equations
Solving Two-Step Equations
Solve an equation by multiplying by a reciprocal
3.1 Solving Two-Step Equations
Solving Equations by Adding or Subtracting
Bell Ringer.
Warm up 11/1/ X ÷ 40.
Solving 1-Step Integer Equations
Ch 2.3 One Step (Multiplication & Division)
Multiplying or Dividing 1-3
Solving Equations with the Variable on Both Sides
Solving Algebraic Equations
Objectives Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate method for solving systems of linear equations.
2-2 Solving One-Step Equations
Solving one- and two-step equations
Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Vocab: Inverse operations: Are operations that undo.
3.1 Solving Two-Step Equations 1 3x + 7 = –5 3x + 7 = –5 – 7 – 7
Solving Equations Using Multiplication and Division
Solving Equations by 2-1 Adding or Subtracting Warm Up
Involving One Operation
Presentation transcript:

2.2 Solve One-Step Equations You will solve one-step equations using algebra. Essential Question: How do you solve one- step equations using subtraction, addition, division, and multiplication?

Warm-Up Exercises Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of equality: Subtract 7 from each side. x = –3x = –3 Simplify. ANSWER The solution is –3.

Warm-Up Exercises Solve an equation using subtraction EXAMPLE 1 CHECK Substitute –3 for x in the original equation. x + 7 = 4x + 7 = 4 Write original equation. –3 + 7 = 4 ? Substitute – 3 for x. 4 = 44 = 4 Simplify. Solution checks.

Warm-Up Exercises Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x – 12 = 3 Write original equation. x – 12 = 3 Add 12 to each side x = 15 Simplify. x = 15 x – =

Warm-Up Exercises Solve an equation using division EXAMPLE 3 Solve –6x = 48. –6x = 48 x = –8 Write original equation. –6x –6 48 –6 = Divide each side by –6. Simplify.

Warm-Up Exercises GUIDED PRACTICE for Examples 1, 2, and 3 1. y + 7 = 10 ANSWER 3 Solve the equation. Check your solution.

Warm-Up Exercises 2. x – 5 = 3 GUIDED PRACTICE for Examples 1, 2, and 3 8 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises GUIDED PRACTICE 3. q – 11 = –5 for Examples 1, 2, and 3 6 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises GUIDED PRACTICE 4. 6 = t – 2 for Examples 1, 2, and 3 8 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises GUIDED PRACTICE 5. 4x = 48 for Examples 1, 2, and 3 12 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises GUIDED PRACTICE 6. –65 = –5y for Examples 1, 2, and 3 13 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises GUIDED PRACTICE 7. 6w = –54 for Examples 1, 2, and 3 –9–9 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises GUIDED PRACTICE = –8n for Examples 1, 2, and 3 –3–3 ANSWER Solve the equation. Check your solution.

Warm-Up Exercises Solve an equation using multiplication EXAMPLE 4 Write original equation. 4 x 4 = 4 5 Multiply each side by 4. x = 20 Simplify. = 5. x 4 Solve SOLUTION = 5 x 4

Warm-Up Exercises GUIDED PRACTICE for Example = 9 t –3 Solve the equation. Check your Solution. –27 ANSWER

Warm-Up Exercises GUIDED PRACTICE for Example c 7 = Solve the equation. Check your Solution. 42 ANSWER

Warm-Up Exercises GUIDED PRACTICE for Example z –2 = Solve the equation. Check your Solution. –26 ANSWER

Warm-Up Exercises GUIDED PRACTICE for Example = –11 a 5 Solve the equation. Check your Solution. –55 ANSWER

Warm-Up Exercises Solve an equation by multiplying by a reciprocal EXAMPLE 5 SOLUTION Write original equation. x = 4x = – x = – Solve 7 2 – The coefficient of x is. 7 2 – The reciprocal of. 2 7 – is ( ) ( x ) = 2 7 – 7 2 – 7 2 – 4 2 Multiply each side by the 7 – reciprocal,.

Warm-Up Exercises Solve an equation by multiplying by a reciprocal EXAMPLE 5 x = –14 Simplify. ANSWER The solution is –14. Check by substituting –14 for x in the original equation. CHECK Write original equation. Substitute –14 for x. 4 = 4 Simplify. Solution checks. x = 4x = – (–14) = 4 ? 2 7 –

Warm-Up Exercises GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution. w = ANSWER 12

Warm-Up Exercises GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution. p = ANSWER 21

Warm-Up Exercises GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution =9 = –3 4 m ANSWER –12

Warm-Up Exercises GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution. 16. –8 = –4 5 v ANSWER 10

Warm-Up Exercises EXAMPLE 6 Write and solve an equation Let r represent Crawford's speed in meters per second. Write a verbal model. Then write and solve an equation. SOLUTION OLYMPICS In the 2004 Olympics, Shawn Crawford won the 200 meter dash. His winning time was seconds. Find his average speed to the nearest tenth of a meter per second.

Warm-Up Exercises Write and solve an equation EXAMPLE 6 Crawford's average speed was about 10.1 meters per second. ANSWER r = 200 = r r

Warm-Up Exercises GUIDED PRACTICE for Example WHAT IF? In example 6, suppose Shawn Crawford ran 100 meters at the same average speed he ran the 200 meters. How long would it take him to run 100 meters ? Round your answer to nearest tenth of a second. 9.9 sec ANSWER

Warm-Up Exercises Daily Homework Quiz 2. 8 = m – 7 ANSWER 15 ANSWER k = –72 ANSWER –8–8 1. –6 + a = –2 Solve the equation. Check your solution.

Warm-Up Exercises Daily Homework Quiz ANSWER –60 ANSWER sec = x –5 5. Earth orbits the Sun at an average speed of kilometers per second. Find how long it takes, to the nearest hundredth of a second, for Earth to travel 500 kilometers.

You will solve one-step equations using algebra. Essential Question: How do you solve one- step equations using subtraction, addition, division, and multiplication? Use inverse operations and properties of equality to produce equivalent equations and isolate variables. Use reciprocals to isolate a variable with a fractional coefficient. Solve one-step equations by using inverse operations to isolate the variable, for example, use addition to undo subtraction. If a coefficient is a fraction, multiply by its reciprocal to produce a coefficient of 1. Always perform the same operation on each side of the equation.