Warm-up: Monday, Jan. 23rd Solve each by substitution.

Slides:

Advertisements

Similar presentations

9.4 – Solving Absolute Value Equations and Inequalities 1.

Advertisements

Essential Question: How do you solve a system of inequalities by graphing?

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.

Algebra II March 2 nd Students should complete warm-up problems. Given a graph of a system of equations students will be able to determine how many solutions.

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.

1. What is the difference between a solution for an equation and a solution for an inequality? (complete sentences please)

Graphing Linear Inequalities

Linear Equations, Inequalities, and Absolute Value

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Do Now: Evaluate: 3AB. Algebra II 3.7: Evaluate Determinants HW: p.207 (4-14 even) Test : Friday, 12/6.

5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.

Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.

Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.

Warm-ups: Systems of Equations Elimination. Graph each system of equations (Same Graph!) and identify the solution (the ordered pair that they both share):

3.6 Solving Absolute Value Equations and Inequalities

6.5 Solving Inequalities by Factoring. Steps to Solve To solve an inequality by factoring, treat the inequality like an sign and solve. Make sure to set.

5.2 – Solving Inequalities by Multiplication & Division.

Solving Open Sentences Involving Absolute Value

Monday WARM-UP: TrueFalseStatementCorrected Statement F 1. Constraints are conditions written as a system of equations Constraints are conditions written.

Solve the system of equations using the graphing method. y = x – 5 x + 2y = − 4 Find the x and y.

1.8 Absolute Value Equations and Inequalities Warm-up (IN) Learning Objective: to write, solve and graph absolute value in math and in real-life situations.

9.3 – Linear Equation and Inequalities 1. Linear Equations 2.

Linear Inequalities by Graphing

SystemsOfInequalities. 7-1 Solving Systems by Graphing What is a system of linear equations? “SOLUTION” No solution Infinitely Many Solutions Page 342.

6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems.

6.5 Solving System of Linear Inequalities: VIDEOS equations/v/solving-linear-systems-by-graphing.

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. Systems of Equations: Substitution Solving by Substitution 1)Solve one of the equations for a variable. 2)Substitute the expression from step.

Warm-up- Jan. 30th a.Graph the solution set of the system: b. List the points that form the corners of the graphed region in part (a). c. Evaluate 3x +

Practice 6.7. Solve the inequality and graph your solution #1 AND OR.

Solving Systems of Equations Graphing Linear Inequalities.

Solve the system of equations using the graphing method. y = x – 5 x + 2y = − 4 Find the x and y.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

Review: Algebra. Write numeric expressions:  Numeric expressions are expressions written out as phrases  Example:  Written as: The difference.

AGENDA FRIDAY TRIVIA WARM-UP LESSON 81 EXIT CARD.

Factoring to solve a quadratic TURN IN YOUR WORKSHEET FROM TUESDAY Your chapter 9 quiz is next WED (over )

9.4 Solving Quadratic Equations Standard Form: How do we solve this for x?

Warm-Up Solve the system by graphing y = x + 2 x = −3 Solve the system by graphing 4x + y = 2 x − y = 3.

Chapter 7 Systems of Linear Equations and Inequalities 7.1 Thursday 12/6 7.2 Friday12/7-Monday12/ Tuesday12/11-Wed12/ Thursday12/13-Friday12/14.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.

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.

3.3 – Solving Systems of Inequalities by Graphing

10.8 Systems of Second-Degree Equations and Inequalities

Notes Over 2.1 Graph the numbers on a number line. Then write two inequalities that compare the two numbers and and 9 l l l.

Systems of Inequalities

Chapter 7 Jeopardy! Solving Equations

Solve a system of linear equation in two variables

Absolute Value inequalities

Opener Perform the indicated operation.

6.5 Solving Inequalities by Factoring

DRILL: x + 4y =1 x - 4y =5 2x – y =6 x + y = 3.

Solutions of Equations and Inequalities

Solving Systems of Equation by Substitution

Indicator 10 Solving Inequalities.

5.1 Solving Systems of Equations by Graphing

3.5 Polynomial and Rational Inequalities

Quadratic Systems. What you’ll learn

Systems of Equations Solve by Graphing.

Jeopardy Final Jeopardy Solving Equations Solving Inequalities

Review Find number of solutions using substitution or linear combinations. 2x – 6y = 5 3x – 9y = 2 Find number of solution using graphing. -2x + 5y =

7-6 Inequalities.

Name ________________________________________________

Choose a number greater than 8, substitute for y and solve:

Give the solution to each inequality.

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.

Notes: 2-1 and 2-2 Solving a system of 2 equations:

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

Presentation transcript:

Warm-up: Monday, Jan. 23rd Solve each by substitution.

Warm-up: Tuesday, Jan.24th 1.Graph the solution set of the inequalities or indicate that the system has no solution. 4x – 5y > -20 X > 3 Solve the system by the method of your choice.

Warm-up: Wed./ Thurs. 1)Let x represent the 1 st number and y represent the second number. Write your system of equation then solve. The sum of two numbers is 20 and their product is 96. Find the numbers. Graph the solution set of each system of inequalities or indicate that the system has no solution.

Warm-up: Friday, Jan. 27th a.Graph the solution set of the system: b. List the points that form the corners of the graphed region in part (a). c. Evaluate 3x + 2y at each of the points obtained in part (b).