Equations and Mental Math

Slides:

Advertisements

Similar presentations

Verbal Expressions for =

Advertisements

EXAMPLE 1 Using Mental Math to Solve Equations a. 15 – n = 4 b. 8x = 32 c.r 12 = 4 Solve the equation using mental math.

Equations and Their Solutions

Solving Two-Step Equations

Equalities Inequalities < Is less than = Equals- Is the same as

Intro to Algebra/Geometry Solving Equations by Adding or Subtracting.

Algebra I 1.4 Write Equations And Inequalities. VOCAB Equation – a mathematical sentence formed by placing the symbol = between two expressions Inequality.

EXAMPLE 3 Write an equation for a function

Algebra 1: Solving Equations with variables on BOTH sides.

5-3 Elimination Using Addition and Subtraction

Writing Expressions and Equations

EXAMPLE 1 Writing and Solving an Inequality Season Tickets Individual tickets for a college hockey game cost $8 each plus a one-time transaction fee of.

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. (Lesson 1.1) 1.(8)(x) when x = /x when x = 3 3.x + 15.

By: Mary Lazo.  Linear equations can be solved: ◦ Algebraically ◦ Graphically  Method 1- graph one equation and identify x- intercept.  Method 2- graph.

EXAMPLE 1 Using Mental Math to Solve Equations a. 15 – n = 4 b. 8x = 32 c.r 12 = 4 Solve the equation using mental math.

Math Pacing Elimination Using Addition and Subtraction 1.The sum of two numbers is 31. The greater number is 5 more than the lesser number. What are the.

Solve Systems of Linear Equations Using Elimination Honors Math – Grade 8.

ONE STEP EQUATIONS AF 1.1 Objective: Students will solve one-step linear equations in one variable by performing inverse operations, identifying necessary.

Write equations and inequalities EXAMPLE 1 a. The difference of twice a number k and 8 is 12. b. The product of 6 and a number n is at least 24. 6n ≥ 24.

Variables and Equations Pre-Algebra. Learning Objective I can solve equations with variables.

Solving Two-Step Equations You will solve equations by undoing operations using properties of equality. Essential Question: How do you solve two-step equations?

1.4 Write Equations and Inequalities

Daily Homework Quiz Simplify the expression. 1. ()() 7+t6 – 4 – t b+20a – 8b8b – 15a ANSWER 72 ANSWER 6b6b+5a5a– 3t3t78 – 3.Evaluate when 2x2x ()2)2.

Translating into Algebraic expressions

Pg #14-40e, Equations and Inequalities Equation = formed when an equal sign (=) is placed between two expressions creating a left and.

Writing Expressions and Equations. Key Vocabulary Expression – a math sentence without equal signs Equation – a math sentence with equal signs Variable.

WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

Notes Over 1.5 Write the phrase as a variable expression. Let x represent the number. 1. The sum of 1 and a number sum add switch 2. 4 less than a number.

ALGEBRA - Translating MATH 7 INTRODUCTION Topics to be covered today: Algebraic Expressions Words that mean operations Translating Verbal Expressions.

Do Now 3x – 6y = -3 2x + 4y = 30.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Addition Property of Equality If A, B, and C are real numbers, then the equations.

THE PRODUCT OF TIMES MULTIPLIED BY TWICE (times 2) MULTIPLICATION REVIEW OF SOLVING EQUATIONS Verbal expressions.

EXAMPLE 1 Solve by equating exponents Rewrite 4 and as powers with base Solve 4 = x 1 2 x – 3 (2 ) = (2 ) 2 x – 3x – 1– 1 2 = 2 2 x– x + 3 2x =

Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

EXAMPLE 2 Checking Solutions Tell whether (7, 6) is a solution of x + 3y = 14. – x + 3y = 14 Write original equation ( 6) = 14 – ? Substitute 7 for.

EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 Write original equation. + 5 = x – 5 = x 2 11 – 5 Subtract 5 from each side. = x 2 6 Simplify.

Solving Linear Systems by Substitution

Algebraic Expressions and Terms STANDARD : AF 1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables. OBJECTIVE:

Equations Students will be able to solve equations using mental math, or guess and check.

Bell Ringer 2. Systems of Equations 4 A system of equations is a collection of two or more equations with a same set of unknowns A system of linear equations.

Holt CA Course Solving Equations Containing Integers Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Warm Up Solve. 1. x + 5 = 9 2. x – 34 = 72 = x – 39 x = 4 x = 106

The Substitution Method Objectives: To solve a system of equations by substituting for a variable.

Warm-Up 1) Determine whether (-1,7) is a solution of the system. 4 minutes 3x – y = -10 2) Solve for x where 5x + 3(2x – 1) = 5. -x + y = 8.

Warm Up Tell whether the system has one solution, no solution, or infinitely many solutions.

Using Number Sense to Solve One-Step Equations Lesson 2-5.

Objectives: Solve equations by multiplying and dividing Write an equation that expresses a problem solving situation Section 2-1 Solve one-step Equations.

Objective: Translate verbal phrases to number form. Key phrases : Addition: The sum of five and a number 5 + x Six more than a number x + 6 A number plus.

Lesson 5.1/5.2 – Writing Expressions and Equations Write this TITLE down on your notes!!! 5.1 /5.2 Writing Expressions and Equations.

Miss Tilton.  Equation: a math sentence with an equal sign  7x = – 35  Solution: a value for a variable that makes an equation true.  7x = – 35 

1) GOAL : Get the variable on one side of the equation. 2) You always perform the same operation to both sides of an equation.

1.4 Solving Equations.

Warm Up Check the solution to these problems; are they correct? If not, correct them. 3 – x = -17; x = -20 x/5 = 6; x = 30.

1-5 Equations Goals: Solve equations with one variable

9P9: Solve 2X2 systems by substitution

1.4 – Writing Equations and Inequalities

Writing Expressions and Equations

Solving Equations by Factoring and Problem Solving

Solve a system of linear equation in two variables

Solving Systems of Equations using Substitution

Translating Expressions

1.4 – Writing Equations and Inequalities

Objective translate verbal sentences into equations.

Objectives Identify solutions of linear equations in two variables.

Skill Check Lesson Presentation Lesson Quiz.

Do Now 10/11/11 In your notebook, describe the PROCESS (steps you would take) to solve the following question. Then solve. What is this an example of?

Review Is 3 a solution to 3x – x = 12?

Solving Equations.

4 minutes Warm-Up 1) Determine whether (-1,7) is a solution of the system. 3x – y = -10 -x + y = 8 2) Solve for x where 5x + 3(2x – 1) = 5.

Presentation transcript:

Equations and Mental Math Standard: AF 1.1 Write and solve one-step linear equations in one variable. Objective: Students will use mental math to write and solve one-step linear equations in one variable by performing inverse operations, identifying missing quantities, using graphic organizers, writing reflective summaries, and scoring an 80% proficiency on exit slip quizzes and online assessments.

Key Words Expression Equation Variable Inverse Operations

Tell whether the number is a solution of . n + 5 = 14 Example 1 Checking Possible Solutions Tell whether the number is a solution of . n + 5 = 14 a. 9 SOLUTION Write equation. n + 5 = 14 a. Substitute 9 for n. 9 + 5 14 = ? 14 = 14 = 14, so 9 is a solution.

Tell whether the number is a solution of . n + 5 = 14 Example 1 Checking Possible Solutions Tell whether the number is a solution of . n + 5 = 14 b. 7 SOLUTION Write equation. n 5 = 14 b. + Substitute 7 for n. 7 5 14 + = ? 12 = 14 12 = 14, so 7 is a not a solution.

The difference of twice a number and 3 equals 4. – 2y – 3 = 4 Example 2 Translating Verbal Sentences Verbal sentence Equation a. The difference of twice a number and 3 equals 4. – 2y – 3 = 4 The product of 9 and a number is 36. b. 9y = 36 –3 is equal to twice the sum of a number and 2. c. –3 = ( ) 2 + y

Nine plus what number equals 12? 3 9 + = 12 Example 3 Using Mental Math to Solve Equations Equation Question Solution Check a. 9 + x = 12 Nine plus what number equals 12? 3 9 + = 12 What number minus 5 equals 10? b. n – 5 = 10 15 – 5 = 10 Four times what number equals 20? c. 4t = 20 5 4(5) = 20

What number divided by 3 equals 12? 3 Example 3 Using Mental Math to Solve Equations Equation Question Solution Check m 36 = 12 3 d. = 12 What number divided by 3 equals 12? 3

Tell whether the number is a solution of the equation. Guided Practice for Examples 1, 2, and 3 Tell whether the number is a solution of the equation. 1. 3x = 12; 4 ANSWER solution 7 = 13 2. – n; 5 ANSWER not a solution 3. y 6 = 3; 2 ANSWER solution Write as an equation: The difference of 5 and twice a number is 17. 4. ANSWER 5 – 2n = 17

Solve the equation using mental math. Guided Practice for Examples 1, 2, and 3 Solve the equation using mental math. 7x = 35 5. ANSWER 5 15 = m 6. – 6 ANSWER 21 12 + a 7. = 32 ANSWER 20 8. n 24 = 6 ANSWER 4