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In this unit we are going to be looking at simple equations in one variable, and the equations will be linear - that means there’ll be no x2 terms and no x3’s, just x’s and numbers. For example, we will see how to solve the equation 3x + 15 = x + 25. 2. Solving equations by collecting terms.
A Five-Step Process. You need to memorize these 5 steps when you solve a linear equation, until you can do them without too much thinking: Get rid of parentheses by distributive property. Combine like terms. Move variable terms to one side of the equal sign. Move number terms to the other side of the equal sign.
I can describe how to solve equations. I can analyze the measurements used to solve a problem and judge the level of accuracy appropriate for the solution. I can apply equation-solving techniques to solve real-life problems. I can apply properties of equality to produce equivalent equations.
Solving Equations Study Guide. 1. Does your equation have fractions? Yes—Multiply every term (on both sides) by the denominator. No—Go to Step 2. 2. Does your equation involve the distributive property? (Do you see parenthesis?) Yes—Rewrite the equation using the distributive property. No—Go to Step 3. 3. On either side, do you have like terms?
21) Explain two ways you could solve 20 = 5(−3 + x) (1) Divide by 5 first, or (2) Distribute the 5 first.-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
1. Three angles made up a straight line. Form an equation in x. Solve the equation to find the value of x. Work out the size of the largest angle. 2. The diagram below shows a triangle. The sides are measured in centimetres. (a) Write an expression, in terms of x, for the perimeter of the triangle. The perimeter of the triangle is 61cm.
Steps for Solving a Linear Equation in One Variable: Simplify both sides of the equation. Use the addition or subtraction properties of equality to collect the variable terms on one side of the equation and the constant terms on the other.
