Download presentation

Presentation is loading. Please wait.

Published byLeonard Harrison Modified over 5 years ago

1
Bellwork Tuesday 9-16-13

2
Bellwork Solutions 9-16-14

3
Definition: Linear Equation Let a and b be real numbers such that a ≠ 0. A linear equation in one variable is an equation that can be written in the form ax + b = 0

4
Linear Equations in One Variable An equation is a statement that indicates that two quantities are equal. It must have an equal sign separating two parts. A solution to an equation is a value of the variable that makes the equation a true statement. Substituting a solution to an equation for the variable makes the right-hand side equal to the left-hand side.

5
Linear Equations in One Variable EquationSolutionCheck x = -4-4(-4) = -4 p + 3 = 118(8) + 3 = 11 -2b = -2010-2(10) = -20

6
Addition & Subtraction Properties of Equality Let a, b, and c represent real numbers. Addition property of equality: If a = b, then a + c = b + c. Subtraction property of equality: If a = b, then a - c = b - c.

7
Multiplication & Division Properties of Equality Let a, b, and c represent real numbers. Multiplication property of equality: If a = b, then a c = b c. Division property of equality: If a = b, then a/c = b/c (provided c ≠ 0).

8
Procedure for Solving a Linear Equation in One Variable Step 1: Simplify both sides of the equation. a)Clear parentheses. b)Consider clearing fractions or decimals (if any are present) by multiplying both sides of the equation by a common denominator of all terms. c)Combine like terms.

9
Procedure for Solving a Linear Equation in One Variable Step 2: Use the addition or subtraction property of equality to collect the variable terms on one side of the equation. Step 3: Use the addition or subtraction property of equality to collect the constant terms on one side of the equation.

10
Procedure for Solving a Linear Equation in One Variable Step 4: Use the multiplication or division property of equality to make the coefficient of the variable term equal to 1. Step 5: Check your answer!

11
9-16-13 HW – Lesson 1.4 1 step equations. Solve for the variable. Show work! 1.12 + x =40 2.-3/5 p = 4/15 3.4 = w/2.2 4.-x = 6 5.-6/5 y = -3/5 6.5 = t/16 7.-a = -2

13
Bellwork9/17 Show the “check” work to see if the solution is correct. 3(y – 4) = 2y – 5 y = - 7

14
Warm Up9/18 Solve the equation: ¼ w + 1/3 w – 1 = ½ (w – 4) Remember: the fractions in this equation can be eliminated by multiplying both sides of the equation by any common multiple of the denominators.

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google