Word problems can be solved after being translated into linear equations. Learn what a linear equation is and how to use it to solve simple...
linear structural equationMicroDYNcollaborative problem solvingtechnology-based assessmentUsing Tangible User Interfaces (TUI) for assessing collaborative problems has only been marginally investigated in technology-based assessment. Our first empirical studies focused on light-weight performance measurements, ...
Example: x– 4 = 6 To solve the equation means that we need to look for a value for the variable that would make the equation true. In this case, the value ofx= 10 would certainly make the above equation true. In mathematics, we say thatx= 10satisfiesthe equation. One method to so...
Start by moving all of the terms that contain a variable to the left-hand side of the equation. For example, if you are solving 5a+16=3a+22 you will move the 3a to the left-hand side of the equation. To do this, you must add the opposite of 3a to both sides. ...
Linear Equation : Linear Eqn in one variable: eqn equivalent to: ax + b = 0 Also called first-degree equation. To solve: isolate the variable 65: ( with calculator ) Solve Applied Problems with Linear Equations Steps: 1. Read problem carefully, more than once. Pay careful attention to ...
Sample Problem Find LCM Review Addition and Multiplication properties of equality Core Concepts: Strategy for solving linear equations with one variable: 1. Simplify both sides of the equation •Get rid of fractions or decimals •Clear Parentheses (Use distributive property as needed) ...
make an equation. A number increased by 5 is 8. 4 times a number is 24. n + 5 = 8 4 × x = 24 To solve an equation, use the opposite operation to get x alone on 1 side of the equation. opposite operation • an operation that undoes another operation • – and + are ...
◦Numbers,expressions,functions,orequationshavemanydifferent–butequivalent–forms.Theseformsdifferintheirefficacyandefficiencyininterpretingorsolvingaproblem,dependingonthecontext.◦Algebraextendsthepropertiesofnumberstorulesinvolvingsymbolstotransformanexpression,function,orequationintoanequivalentformandsubstitute...
The following two problems will illustrate how to solve word problems involving distance, rate, and time by solving a linear equation. Example Problem 1: Solving Rate Problems A car is traveling at a constant rate of 60 miles per hour. How much time will it take for the car...
Solving Linear Equations We can use equivalent equations to solve an equation. The solution is obtained when the variable is by itself on one side of the equation. The objective, then, is to use equivalent equations toisolate the variableon one side of the equation. ...