Objectives The student will be able to:

Slides:



Advertisements
Similar presentations
Objectives The student will be able to:
Advertisements

Objectives The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Objective The student will be able to: solve equations using multiplication and division. Designed by Skip Tyler, Varina High School.
Objective The student will be able to: solve two-step inequalities. SOL: A.5abc Designed by Skip Tyler, Varina High School.
Solving Two-Step Inequalities
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. 3.5 Objectives The student will be able to:
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. SOL: A.4df Objectives The student will be able to: Designed.
1. Solve equations with variables on both sides. 2. Solve equations containing grouping symbols Objectives The student will be able to: Designed by Skip.
The student will be able to: solve equations with variables on both sides. Equations with Variables on Both Sides Objectives Designed by Skip Tyler, Varina.
3.3 Equations w/ Variables on both sides. 3.3 – Eq. w/ Variables on both sides Goals / “I can…”  Solve equations with variables on both sides  Identify.
1.solve inequalities using addition and subtraction. SOL: A.3 Objective The student will be able to: Designed by Skip Tyler, Varina High School.
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. Objectives The student will be able to:
1. solve equations with variables on both sides. 2. solve equations where combining like terms is required. SOL: A.4df I can... Designed by Skip Tyler,
1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:
Solve Fraction Equations. Designed by Skip Tyler, Varina High School EQ: How do we solve equations of fractions using multiplication and division.
Solving Equations with Variable on Both Sides Objective: Students will solve equations with variables on both sides. Section 3.4.
Objective The student will be able to:
Objective The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
6-3: Solving Equations with variables on both sides of the equal sign
Objectives The student will be able to:
Solving Equations with the Variable on Both Sides
Lesson 3.5 Solving Equations with the Variable on Both Sides
Objectives The student will be able to:
Solving Equations with Variables on Both Sides
LESSON 1.11 SOLVING EQUATIONS
Objectives The student will be able to:
Bell Ringer (NWEA) RIT band
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Solving Equations with the Variable on Both Sides
Objectives The student will be able to:
Objectives The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Equations: Multi-Step Examples ..
Objective The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
3.5 More on Solving Equations
2.2 Solving Equations with Variables on Both Sides
Objectives The student will be able to:
Objective The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Warm up.
Warm-Up 2x + 3 = x + 4.
2-3 Equations With Variables on Both Sides
Objectives The student will be able to:
Objectives The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Objectives The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Objectives The student will be able to:
Objective The student will be able to:
Solving Equations with Fractions
Objectives The student will be able to:
Objective The student will be able to:
Presentation transcript:

Objectives The student will be able to: 1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. SOL: A.4df Designed by Skip Tyler, Varina High School

1) Solve. 3x + 2 = 4x - 1 You need to get the variables on one side of the equation. It does not matter which variable you move. Try to move the one that will keep your variable positive.

1) Solve 3x + 2 = 4x - 1 - 3x - 3x 2 = x - 1 + 1 + 1 3 = x + 1 + 1 3 = x 3(3) + 2 = 4(3) - 1 9 + 2 = 12 - 1 Draw “the river” Subtract 3x from both sides Simplify Add 1 to both sides Check your answer

2) Solve 8y - 9 = -3y + 2 + 3y + 3y 11y – 9 = 2 + 9 + 9 11y = 11 11 11 + 9 + 9 11y = 11 11 11 y = 1 8(1) - 9 = -3(1) + 2 Draw “the river” Add 3y to both sides Simplify Add 9 to both sides Divide both sides by 11 Check your answer

What is the value of x if 3 - 4x = 18 + x? -3 3 Answer Now

3) Solve 4 = 7x - 3x 4 = 4x 4 4 1 = x 4 = 7(1) - 3(1) Draw “the river” 4 4 1 = x 4 = 7(1) - 3(1) Draw “the river” – Notice the variables are on the same side! Combine like terms Divide both sides by 4 Simplify Check your answer

4) Solve -7(x - 3) = -7 -7x + 21 = -7 - 21 - 21 -7x = -28 -7 -7 x = 4 - 21 - 21 -7x = -28 -7 -7 x = 4 -7(4 - 3) = -7 -7(1) = -7 Draw “the river” Distribute Subtract 21 from both sides Simplify Divide both sides by -7 Check your answer

What is the value of x if 3(x + 4) = 2(x - 1)? -14 -13 13 14 Answer Now

5) Solve 3 - 2x = 4x – 6 + 2x +2x 3 = 6x – 6 + 6 + 6 9 = 6x 6 6 Draw “the river” Clear the fraction – multiply each term by the LCD Simplify Add 2x to both sides Add 6 to both sides Divide both sides by 6 Check your answer 3 - 2x = 4x – 6 + 2x +2x 3 = 6x – 6 + 6 + 6 9 = 6x 6 6 or 1.5 = x

-2x -2x 5 = -3 This is never true! No solutions Special Case #1 6) 2x + 5 = 2x - 3 -2x -2x 5 = -3 This is never true! No solutions Draw “the river” Subtract 2x from both sides Simplify

Infinite solutions or identity Special Case #2 7) 3(x + 1) - 5 = 3x - 2 3x + 3 – 5 = 3x - 2 3x - 2 = 3x – 2 -3x -3x -2 = -2 This is always true! Infinite solutions or identity Draw “the river” Distribute Combine like terms Subtract 3x from both sides Simplify

What is the value of x if -3 + 12x = 12x - 3? 4 No solutions Infinite solutions Answer Now

Challenge! What is the value of x if -8(x + 1) + 3(x - 2) = -3x + 2? -2 2 8 Answer Now