Solving Equations by Adding or Subtracting
Vocabulary:
Addition Property of Equality - Subtract from the positive number in the equation.
Subtraction Property of Equality - Add to the negative number in the equation.
Inverse Operation - Undo the operation present in the equation. Do the opposite.
Examples:
Addition Property
x - 8 = 17 Remember we want to get the variable alone by using inverse operation.
+8 = +8 This cancels out the negative 8, add the 8 to the 17 (Whatever you do on one side of the
x = 25 = sign you must do on the other side.
Subtraction Property
a + 5 = 11 Do the same thing as you did above. The only difference will be instead of adding you
- 5 - 5 will subtract. Again, this will cancel out the positive 5. Don't forget...Whatever you do on
a = 6 one side of the = sign you must do on the other side.
Video Help:
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/adding-and-subtracting-the-same-thing-from-both-sides
http://www.schooltube.com/video/25f45f78f9edcc139cd9/Solving-Equations-using-Addition-and-Subtraction
http://www.dailymotion.com/video/x1dek2o_solving-equations-by-adding-and-subtracting_shortfilms
Click on whichever section you are working on. You will find the vocabulary associated with the section, as well as, examples and helpful videos.
Pages
- Home
- Order Of Operations (1-4)
- Properties of Numbers (1-5)
- Translating Words into Math (1-7)
- Simplifying Algebraic Expressions (1-8)
- Equations & Their Solutions (1-9)
- Solving Equations by Adding or Subtracting (1-10)
- Solving Equations by Multiplying and Dividing (1-1...
- Integers (2-1)
- Adding Integers (2-2)
- Subtracting Integers (2-3)
- Multiplying and Dividing Integers (2-4)
- Solving Equations Containing Integers (2-5)
- Equivalent Fractions and Decimals (2-10)
- Comparing and Ordering Rational Numbers (2-11)
- Adding and Subtracting Decimals (3-2)
- Multiplying Decimals (3-3)
- Dividing Decimals (3-4)
- Solving Equations Containing Decimals (3-5)
- Adding and Subtracting Fractions (3-7)
- Adding and Subtracting Mixed Numbers (3-8)
- Multiplying fractions and Mixed Numbers (3-9)
- Dividing Fractions and Mixed Numbers (3-10)
- Solving Equations Containing Fractions (3-11)
- Rates (4-2)
- Rates (4-2) Videos
- Identifying and Writing Proportions (4-3)
- Solving Proportions (4-4)
- Similar Figures and Proportions (4-8)
- Using Similar Figures (4-9)
- Scale Drawings and Scale Models (4-10)
- Slope and Rates of Change (5-6)
- Direct Variation (5-8)
- Estimating with Percents (6-3)
- Percent of a Number (6-4)
- Solving Percent Problems (6-5)
- Percent of Change (6-6)
- Simple Interest (6-7)
- Mean, Median, Mode, Range, and Outlier (7-2)
- Bar Graphs and Histograms (7-3)
- Box-and-Whisker Plots (7-5)
- Populations and Samples (7-8)
- Classifying Angles (8-2)
- Classifying Triangles (8-6)
- Classifying Quadrilaterals (8-7)
- Angles in Polygons (8-8)
- Congruent Figures (8-9)
- Perimeter and Circumference (9-2)
- Area of Parallelograms (9-3)
- Area of Triangles and Trapezoids (9-4)
- Area of Circles (9-5)
- Area of Irregular Figures (9-6)
- Squares and Square Roots (9-7)
- Volume of Prisms and Cylinders (10-2)
- Surface Area of Prisms and Cylinders (10-4)
- Probability (11-1)
- Experimental Probability (11-2)
- Sample Spaces (11-3)
- Theoretical Probability (11-4)
- Making Predictions (11-5)
- Probability of Independent and Dependent Events (1...
- Combinations (11-7)
- Permutations (11-8)
- Solving Two-Step Equations (12-1)
- Solving Multi-Step Equations (12-2)
- Solving Inequalities by Adding or Subtracting (12-...
- Solving Inequalities by Multiplying or Dividing (1...
- Solving Multi-Step Inequalities (12-7)
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