Inverse operations w/equations using exponents and square roots notes Absent copy Friday 5/9.

Slides:



Advertisements
Similar presentations
Cubed Roots, Add/sub Sq. Roots and non-square integers notes Absent notes Tues/Wed 5/6,7.
Advertisements

Equations with variables on both sides notes Absent Copy Thurs/Fri 2/21,22.
Solving 2 Step Equations
Solving Radical Equations and Inequalities
Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to.
Exponents. Location of Exponent An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent.
© 2007 by S - Squared, Inc. All Rights Reserved.
Objective The student will be able to: solve two-step inequalities.
Solving Radical Equations
Section 6.6: Solve Radical Equations Starter: CC 6.5 Part 2.
Tonight’s Homework: 6-6: (page 456) (evens): 4 – 18, 24, 28, 32 – 38, 46, 50, 58 (17 points) (17 points)
Solving Equations by Extracting Roots
Solving Equations with Exponents and Radicals Intro to Algebra.
Inverse Operations ExpressionInverse Operation How do you get the variable by itself? x + 5 x x x ÷ 20 x3x3.
Solving Equations Medina1 Variables on Both Sides.
Feb 9 and 10 Solving Square Root Equations. A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent)
Warm up! Simplify:. Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand.
Equation y + 5 y + 5 = 20 Expressions
Square Root vocab. And Square Root Notes absent copy Monday 5/5
Solving Equations Medina1 Multi-Step Equations. Steps to solve Medina2 3. Use inverse of addition or subtraction You may not have to do all the steps.
Essential Question: Describe the procedure for solving a radical equation.
7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9
Jeopardy Solving Equations Add and Subtract Multiply and Divide Multi-Step Variables on each side Grouping Symbols $100 $200 $300 $400 $500 $100 $200.
One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.
Solving Radical Equations Chapter 7.6. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable.
One-Step Equations I can show that solving an equation leads to finding the value that makes the equation true.
Steps for Solving Equations with Variables on Both Sides 1.Distribute when necessary. 2.Combine like terms if possible. 3.Add or subtract to get the variables.
Unit 2: Exponents Review. What is on the test??? 1.Exponent Rules 2.Perfect Squares 3.Square Roots / Cube Roots 4.Estimating Non-Perfect Squares 5.Scientific.
Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true = = 9 x = y +
7.5 Solving Square Roots & Other Radical Equations (Day 1)
© 2007 by S - Squared, Inc. All Rights Reserved.
Solving a System of Equations by Elimination SYSTEMS1.2- I can solve a system of equation by elimination.
Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.
7.5 Solving Radical Equations. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with.
Warm-Up Find the inverse: 1.3y = 12x f(x) = ½x + 8.
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +
5-8 Radical Equations and Inequalities Objectives Students will be able to: 1)Solve equations containing radicals 2)Solve inequalities containing radicals.
Solving Equations with Addition or Subtraction Medina1.
Solving Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.
Jeopardy Solving Equations
Solving Two step equations
EXAMPLE 2 Rationalize denominators of fractions Simplify
Properties of Equality and Solving One-Step Equations
Solving Two- Step Equations
3-1 HW:Pg #4-28eoe, 30-48e, 55, 61,
Solve for variable 3x = 6 7x = -21
Solve a quadratic equation
Bell Ringer.
Variables on Both Sides with Equations
Bell Ringer.
Solving Two- Step Equations
Warm up 11/1/ X ÷ 40.
Solving 1-Step Integer Equations
Multiplying and Dividing Powers
Solving One Step Equations
Solving Two- Step Equations
7.5 Solving Radical Equations
Square and Cube Roots.
Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.
Solve an equation by combining like terms
Solving Two- Step Equations
Solving one- and two-step equations
Squaring a value and finding its square root is the opposite
Solving Equations Finding Your Balance
Solving 1-Step Integer Equations
Bell Ringer.
2.2 Solving Equations with Variables on Both Sides
Objective Solve radical equations.. Objective Solve radical equations.
Equations and Exponents
Presentation transcript:

Inverse operations w/equations using exponents and square roots notes Absent copy Friday 5/9

Review of 2 step equations 2x -3 2 – 4 = 15 A) Add the oppisite B) Combine like terms C) Inverse operation (sub. 5 from both sides) D) Inverse Operation (divide 2 on both sides)

Inverse Operations of exponents/square roots. 1. The inverse operation of exponents can be done by taking the square root. (This gets the variable by itself). What you do to one side you have to do to the other side of the = sign. Ex: x 2 inverse is 2 2 = x · x = x 2. The inverse operation of square roots can be done by squaring the term. What you do to one side you have to do to the other side of the = sign. Ex: inverse is ( ) 2 ( ) 2 = · = 3 · 3 = 9

Example 1 Solve and Check (principal root y 2 = 25 2 = y · y = 5 · 5 y = = = 25 Solution Is “y” by itself? YES or NO How do I get “y” by itself? We use the inverse of exponents which is to take the square root. What is the rule we use when doing something on one side of the = sign? What we do to one side we have to do to the other side of the = sign. What 2 factors (the same) can we multiply to = the radicand? 5 and 5 What do we do last? We check the answer. Y = 5

Example 2 Solve and check (principal root) x 3 = = x · x ·x = 7 · 7 · 7 x = = = 343 Solution Is “x” by itself? YES or NO How do I get “x” by itself? We use the inverse opp. Of exponents and take the cubed root. What is the rule we use when doing something on one side of the = sign? What you do to one side you have to do to the other side of the = sign. What 3 factors (the same) can we multiply to = the radicand? 7 and 7 and 7 What do we do last? We check the solution. X = 7

Example 3 Solve and check (principal root) -7 + c 2 = c 2 = 196 c 2 = = c · c = 14 · 14 c = 14 Solution Is there any GEMA to do before using inverses? YES or NO What inverse opp. Do we using first? We use the inverse opp. of subtraction and we add 7 to both sides. What inverse opp. Do we using next? We use the inverse opp. Of exponents and we take the square root of both sides. What 2 factors (the same) can we multiply to = the radicand? 14 and 14 C = 14

Example 4 Solve and check (principal root) = 1 + h = 1 + h 2 17 = 1 + h 2 -1 = -1 + h 2 16 = 0 + h 2 16 = h 2 = 2 4 · 4 = h · h 4 = h Solution Is there any GEMA to do before using inverses? YES or NO What inverse opp. Do we using first? We use the inverse opp. Of addition and subtract 1 from both sides. What inverse opp. Do we using next? We use the inverse opp. Of exponents and take the square root on both sides. What 2 factors (the same) can we multiply to = the radicand? 4 and 4 H = 4