Warm-up 4-3 The sum of two numbers is -63. The first number minus the second is -41. Find the numbers.

Slides:

Advertisements

Similar presentations

Solving Systems Using Substitution or Elimination Circuit #1 Solve each system using substitution or elimination.

Advertisements

Verbal Expressions for =

Solving systems of equations with 2 variables Word problems (Number Problems)

Systems of Linear Equations

Algebra I Concept Test # 4 – Single Variable Word Prob. Practice Test

Problems in linear equations

Match each phrase with its variable expression. 1) Twice the sum of x and 3 2) Two less than the product of 3 and x 3) Three times the difference of x.

4.3 Application problems dealing with systems of linear equations.

Test 2 – Math 96 Flash Cards. Test 2 Functions: Domain & Range Systems of Equations Word Problems – Mixture, investment & DRT Polynomials: add, subtract,

Part 2.  Review…  Solve the following system by elimination:  x + 2y = 1 5x – 4y = -23  (2)x + (2)2y = 2(1)  2x + 4y = 2 5x – 4y = -23  7x = -21.

Do Now: Use elimination The sum of two numbers is 20. Their difference is 4. Find the numbers. Answer: 12 and 8 (11/3, 2/3)

5-3 Elimination Using Addition and Subtraction

Unit 3: Solving Equations

Warmups – Solve using any method. 1) y = x – 62) x – y = 53) 4x + 5y = 12 3x – 2y = 7 2x – 3y = 7 4x + 3y = 4.

Solving Systems of Equations. Key Terms 0 Solution 0 A solution of a system of equations is an ordered pair that satisfies each equation in the system.

Solve equations that involve grouping symbols

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve by.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) CCSS Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve.

Problem Solving Involving Algebraic Fractions. Algebraic Method 1)Let the unknown be denoted by a variable. 2)Form an equation involving the variable.

Translating English into Algebra

CHAPTER VARIABLES AND EXPRESSIONS. VARIABLES AND EXPRESSIONS Objectives: Translate between words and algebraic expressions Evaluate algebraic expressions.

Monday’s Warm Up. Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains.

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

Our Lesson Inequalities with Add and Subtract. Confidential2 1)Seven roses less than Kiran y – 7 2)Half as many Oranges as last year ½ m 3)One more than.

What do these signs mean? What process are you doing to know the meaning of these signs?

$200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 Solve It! More Translations.

Variables and Expressions

Our Lesson Inequalities with Add and Subtract. Confidential2 1)Seven roses less than Kiran 2)Half as many Oranges as last year 3)One more than a number.

Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at.

Consecutive Numbers n n+1 n+2 n+3 Even Consecutive Numbers n n+2 n+4 n+6 Odd Consecutive Numbers n n+2.

Lesson 3-6 Pages Writing Two-Step Equations Lesson Check 3-5.

Writing Linear Equations. To Write an Equation: Decide what your are trying to find – this is the unknown Choose a variable to represent that unknown.

MTH Algebra CHANGING APPLICATION PROBLEMS INTO EQUATIONS CHAPTER 3 SECTION 1.

Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.

7.3 Elimination Method Using Addition and Subtraction.

Warm-Up Solve. 5 minutes 1) y = 3x - 2 2x + 5y = 7 2) 5x – 2y = 4 2x + 4y = 16.

Equations and Problem Solving 9/8/15. Example 1 An airplane takes off from an airport at 7:00 am traveling at a rate of 350 mi/h. Two hours later, a jet.

Variables and Expressions

$200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 Solve It! More Translations.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) CCSS Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve.

LESSON 12-1 INVERSE VARIATION Algebra I Ms. Turk Algebra I Ms. Turk.

3 rd Quarter 9-Week Test Review 5 Word Problem Questions 10 Chpt 8 Exponent Questions 10 Chpt 9 Questions 10 ARMT Review Questions.

Translating Math and English. Three times a number, increased by 1 is 25.

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.

SATMathVideos.Net In 5 years from now, Ryan will be 25% older than Bill. If Ryan is 20 years old now, how long until Bill's 25th Birthday? A) 5 years ago.

Write each equation in slope-intercept form. 1. x-y = x = 5y 3. 4x + 7y = x – 1/5y = y + 8.1= 7.5x.

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

Lesson 1.1 Expressions and Variables OBJ: To translate verbal phrases into expressions.

Unit I Review Lessons 4 to 8. Complete the table and write a system of equations A sailboat travels 24 mi. downstream in 3 h. The return trip upstream.

ALGEBRA 1 Lesson 1-1 Warm-Up Are the following answers reasonable? Use estimation to determine why or why not

1.a) Translate the equation: Eight more than three times a number is 20. 3x + 8 = 20 3x = 12 − 8 x = b) Solve the equation. 3x + 8 = 20 Subtract.

Algebra II February 22 nd Students should complete warm-up problems. Quiz on solving systems by graphing. Students will be able to solve a system of linear.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

Solving One-Step Equations

Systems Applications.

Consecutive Number Equations

Word Problems Involving & NUMBERS.

Five-Minute Check (over Lesson 2–1) Mathematical Practices Then/Now

Translate the sentence into an equation

6-3 Solving Systems Using Elimination

Using Systems of Equations

8.4 Using Systems Objective:

Multivariable Linear Systems

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.

Warm-Up 5 minutes Solve. 1) y = 3x - 2 2) 5x – 2y = 4 2x + 5y = 7

Presentation transcript:

Warm-up 4-3 The sum of two numbers is -63. The first number minus the second is -41. Find the numbers.

Lesson 4-3: Word Problems Objective: Students will: Use systems of equations to model and solve word problems

Translation Example 1 Twice a number added to a 2 nd number is eleven. Twice the second number, added to the first number, equals 1. Find the numbers?

Mixture Q 1 V 1 + Q 2 V 2 = Total, where Total = Q Total V Total Usually use elimination Example 2 30% fat cream is mixed with 2% fat milk to make 100 gallons of milk that is 4% fat. How much of cream and 2% milk should be used?

Distance D 1 = r 1 t 1 D 2 = r 2 t 2 All distance problems → Find a relationship between 1 and 2 Usually D’s Usually use substitution Example 3 Agnes walks at 3 mph. Four hours later Fred bikes at 15 mph to catch her. How long until Fred catches her?

Age x = age now y = 2 nd age now 3 years from now5 years ago x + 3x – 5 y + 3y – 5 Example: Fred is 8 years older than his sister. 4 years ago his sister was 2/3 as old as Fred. How old are they now?