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Word Problems Problem Solving Strategies –Understand –Plan –Carry Out –Check
Understand Read carefully Visualize the situation Draw a picture if applicable
Plan Inventory what is known –Pay attention to units Assign descriptive variables to unknowns Find the appropriate formulas
Carry Out Solve for the unknown symbolically Substitute in the given values with correct units Compute the answer
Check Is the answer reasonable? Does it come out in the correct units? Does it answer the question?
Words for Operations Keep in mind that English is ambiguous Pay attention to the context
Equals is the same as gives will be was is equivalent to
Writing & Solving Equations. In order to solve application problems, it is necessary to translate English phrases into mathematical and algebraic symbols.
Solving Linear Equations Define and use: Linear Equation in one variable, Solution types, Equivalent Equations.
Solving Compound Inequalities. Compound Inequality – two inequalities connected by and or or.
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.
How do you solve word problems involving addition and subtraction of mixed numbers?
Warm up Problem A rectangle is bounded by the x-axis and the semicircle. What are the dimensions of the rectangle with the largest area?
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.
MSA 3.3 – Writing Equations Learning Target: I will write and solve symbolic equations with one variable. Homework packet p. 5-8: 1) Complete and Correct.
Problem Solving in Physics Dawson High School Physics.
What to do to do well in this class A.Focus on key physics concepts May seem like basics but will help you solve even complex problems Focus on principle.
EXAMPLE 1 Solve an equation with variables on both sides 7 – 8x = 4x – 17 7 – 8x + 8x = 4x – x 7 = 12x – = 12x Write original equation. Add.
To solve two-step equations To use deductive reasoning.
Solving Linear Equations Substitution. Find the common solution for the system y = 3x + 1 y = x + 5 There are 4 steps to this process Step 1:Substitute.
Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.
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.
4.4 Solving Multi-step Inequalities. 4.4 – Solving Multi-step Inequal. Goals / “I can…” Solve multi-step inequalities with variables on one side Solve.
KU122 Unit 2 Seminar Fraction Notation KU Introduction to Math Skills and Strategies Seminars: Wednesdays at 8:00 PM ET Instructor: Tammy Mata
Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Vectors, coordinate systems, and components Motion Models Problem Solving.
1.2.1 – Algebraic Expressions, PEMDAS. You are familiar with equations…right? Algebraic expressions are similar, but no equal signs (not solving for anything)
OBJECTIVES 1.8 Applications and Problem Solving Slide 1Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. aSolve applied problems involving addition,
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.
8/8/ Inequalities. 8/8/ Bumper Cars You must be at least 130cm tall to ride the bumper cars. This can be represented by the inequality.
3.2 Solving Inequalities by Adding or Subtracting I can solve inequalities by adding or subtracting.
Textbook pages 69 & 73 IAN pages 91 & 95. Each side of the equation must be balanced. We balance an equation by doing the same thing to both sides of.
Solving One Step Equations subtract 3 Adding or subtracting the same number from each side of an equation produces an equivalent equation. Addition.
Problem Solving. What is Problem Solving???? Well you could find several definitions of problem solving, but we only have to concentrate in the fact that.
Solving Equations By Adding or Subtracting. Key Terms Inverse Operations: –You can use inverse operations to solve equations. –“Undo” each other by performing.
Copyright © Cengage Learning. All rights reserved. Systems of Linear Equations and Inequalities in Two Variables 7.
Solving Equations by Adding or Subtracting Objective: Solve equations using the addition and subtraction properties of equalities.
Section 1.4 Solving Equations. The Language of algebra provides a way to translate word expressions into mathematical equations 1)Write each equation.
Do Now 10/1/09 Copy HW in your planner. Copy HW in your planner. –Text page , #32-62 even Be ready to finish the Chapter 2 Test. Get your calculators.
Notes 2.1 Order of Operations PEMDAS If an expression has only numbers and symbols, it is a numerical expression. If it has a variable it is a variable.
By: Tameicka James Addition Subtraction Division Multiplication
Do Now 12/14/09 Take out HW from Friday. –Text p. 359, #4-14 even even Copy HW in your planner. –Text p. 366, #16-32 even, 36 & 40. Complete the.
SECTION 3-3 Solving Algebraic Equations: Multiplication and Division.
Solving Equations With Variables on Both Sides Objective: Solve equations with the variable on each side and solve equations involving grouping symbols.
Solving Physics Problems. Read the Question Make a sketch Take Inventory Identify principles Select a formula Isolate variables Substitute and Solve Check.
Balancing Equations The student will be able to: solve equations using addition and subtraction.
Solving Addition and Subtraction Equations An equation is a mathematical sentence that contains an equal sign.
Solving Equations When do we use solving equations? We use solving equations methods when we know what the problem equals but not what the variable is.
Póyla’s Problem Solving Process. What is Pólya’s process? A four step procedure to help solve scholastic problems. Although generally regarded as a tool.
Chapter 3: Equations and Inequations This chapter begins on page 126.
Physics 151 Week 4 Day 1 Topics –Strategic Problem Solving Strategy –Motion Diagrams & Motion Graphs with acceleration.
Warm Up Solve, showing all steps. 1. n + 9 = x = – z = n = 8 x = 7 z = 16 Course Solving Two-Step Equations = 9 y = 72 y8y8.
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.
Lesson 2-4. Many equations contain variables on each side. To solve these equations, FIRST use addition and subtraction to write an equivalent equation.
Practice 2.2 Solving Two Step Equations.
Chapter 2.5 Solve Equations with Variables on Both Sides.
Solving One and Two step Equations Sol A.1. Why do we do the same thing to both sides of an equation d + 12 = -5.
Solving Inequalities Using Addition & Subtraction.
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