Math 025 Section 6.2 Equations. Obj: To solve an equation of the form ax + b = c Problem: Solve 5x + 7 = -8 Solution: 5x + 7 = -8 5x = -8 – 7 5x = -15.

Slides:



Advertisements
Similar presentations
Solving Multi-Step Equations with Like Terms and Parentheses.
Advertisements

Math 025 Unit 5 Section 6.7.
Linear Equations Please Read Entire Section 2.1, pages in the text.
Math 015 Section 6.3 Equations. any algebra expressions on each side variable terms on one side and constants on the other side by the coefficient of.
Math 015 Section 6.1 Equations. Many students like to remember the process for solving linear equations as: any algebra expressions on each side variable.
Math Journal 9-29
1.1 Linear Equations A linear equation in one variable is equivalent to an equation of the form To solve an equation means to find all the solutions of.
EXAMPLE 2 Solve a matrix equation SOLUTION Begin by finding the inverse of A = Solve the matrix equation AX = B for the 2 × 2 matrix X. 2 –7 –1.
Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = x = 12 x = 4 Multiply brackets out.
Aim: How do we solve equations with fractional or negative exponents?
Solve the equation -3v = -21 Multiply or Divide? 1.
Orders of Operations Section 1.6. Objective Perform any combination of operations on whole numbers.
EXAMPLE 2 Rationalize denominators of fractions Simplify
Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 1 Equations, Inequalities, and Applications 2.
Notes 2.4– Solving Equations with Variables on Both Sides.
§ 2.3 The Multiplication Property of Equality. Martin-Gay, Beginning Algebra, 5ed 22 Multiplication Property of Equality If a, b, and c are real numbers,
Solve an equation by combining like terms EXAMPLE 1 8x – 3x – 10 = 20 Write original equation. 5x – 10 = 20 Combine like terms. 5x – =
Section 2.1 Linear Equations in One Variable. Introduction A linear equation can be written in the form ax = b* where a, b, and c are real numbers and.
Lesson 1-5: Solving Equations
Section 3.2 Solving Equations using Multiplication and Division.
(x+2)(x-2).  Objective: Be able to solve equations involving rational expressions.  Strategy: Multiply by the common denominator.  NOTE: BE SURE TO.
Lesson 2-1: More on Solving Equations
EXAMPLE 2 Solving an Equation Involving Decimals 1.4x – x = 0.21 Original equation. (1.4x – x)100 = (0.21)100 Multiply each side by 100.
Equations with fractions can be simplified by multiplying both sides by a common denominator. 3x + 4 = 2x + 8 3x = 2x + 4 x = 4 Example: Solve
Algebra Solving Equations. What does the egg weigh? The Two Sides of an Equation Must be Balanced.
Solving Quadratic Equations. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x.
Solve a two-step equation by combining like terms EXAMPLE 2 Solve 7x – 4x = 21 7x – 4x = 21 Write original equation. 3x = 21 Combine like terms. Divide.
Holt McDougal Algebra 2 Multiplying and Dividing Rational Expressions Multiplying and Dividing Rational Expressions Holt Algebra 2Holt McDougal Algebra.
1) Solve. -5t = 60 To get the variable by itself, which number needs to be moved? -5 To move the -5, you have to do the opposite operation. What operation.
10 Quadratic Equations.
Section 1-3: Solving Equations
Solving Equations With Fractions
Section 1-3: Solving Equations 8/29/17
My Equations Booklet.
Completing the Square 8
Solve a literal equation
Solving Two-Step Equations
Solving Literal Equations
Math Objective: Solve Two-Step Equations
Solving Equations Containing Fractions
Objective Solve equations in one variable that contain more than one operation.
Solving Equations with the Variable on Both Sides
Solving Inequalities by Multiplying or Dividing
Solving One-Step Equations
Section 8-2: Multiplying and Dividing Rational Expressions
Objective Solve equations in one variable that contain variable terms on both sides.
Objective The student will be able to:
Standard Form: Ax + By = C
Solve an equation by combining like terms
4.2: Solving Rational Equations
Equations – Success if you can do these
Solving Multi-Step Equations
9.2 Solving Quadratic Equations using square roots
Objective Solve equations in one variable that contain more than one operation.
Multiplying and Dividing Rational Numbers
Objective Solve equations in one variable that contain variable terms on both sides.
2 Equations, Inequalities, and Applications.
2.2 Solving Equations with Variables on Both Sides
Equations …. are mathematical sentences stating that two expressions are equivalent.
Math-7 NOTES What are Two-Step Equations??
Solve equations using multiplication and division.
Objective The student will be able to:
Math-7 NOTES 1) 3x = 15 2) 4x = 16 Multiplication equations:
Equations – Success if you can do these
Equations – Success if you can do these
If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.
Solving Equations with Fractions
Solving Equations by Factoring
Multiplying and Dividing Rational Numbers
Presentation transcript:

Math 025 Section 6.2 Equations

Obj: To solve an equation of the form ax + b = c Problem: Solve 5x + 7 = -8 Solution: 5x + 7 = -8 5x = -8 – 7 5x = -15 x = x = -3

Obj: To solve an equation of the form ax + b = c Problem: Solve -3x – 7 = -5 Solution: -3x – 7 = -5 -3x = x = 2 x = 2 -3 x =

Obj: To solve an equation of the form ax + b = c Problem: Solve 8 – 5x = -12 Solution: -5x + 8 = x = -12 – 8 -5x = -20 x = x = 4

Obj: To solve an equation of the form ax + b = c Problem: Solve 6.2 – 3.3x = Solution: -3.3x = x = – x = x = x = 5.8

Be sure to simplify each side before continuing the solving process. Problem: Solve 2x + 4 – 5x = 10 Solution:2x + 4 – 5x = 10 -3x + 4 = 10 Simplify by combining like terms on the left side -3x = 6 x = -2 -3x = 10 – 4 collect terms x = 6 -3 divide

Be sure to simplify each side before continuing the solving process. Problem: Solve 12x – 5 + 3x – 8x = -33 Solution:12x – 5 + 3x – 8x = -33 7x – 5 = -33 7x = -28 x = - 4 7x = x = -28 7

Obj: To solve an equation of the form ax + b = c Problem: Solve 3 x – 2 = Solution: – 2 = -11 3x 4 x = -12 Multiply each term by 4 to get rid of any fractions 4 3x – 8 = -44 3x = x = -36 x = -36 3

Obj: To solve an equation of the form ax + b = c Problem: Solve x + = Solution: x = x + = x + 6 = 9 8x = 9 – 6 8x = 3

Problem: Solve x – = Solution: x = x – = x – 10 = 15 16x = 25 16x =