By Mary Jane Sterling
The learn-by-doing option to grasp Algebra I
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Inside youll get the perform you want to examine Algebra I, together with:
- Basic concepts
- Working with numbers
Equations and features
- Linear equations
- Algebraic fractions
- Polynomials and factoring
- Inequalities and absolute worth inequalities
- Quadratic equations
- Systems of equations
- Clear, concise stories of each topic
- Practice difficulties in each chapterwith motives and solutions
- Complete bankruptcy on tale problems
- Diagnostic pretest to evaluate your present skills
- Full-length examination that adapts for your ability level
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Additional resources for Algebra I: Pt. I
2m + 3n + 4p + 5m - 2n - p 2. Simplify by combining like terms. 3x 2 + 5x 4 + 2x + 4x 3 - 2x 2 + x 3 + 3 3. Simplify by combining like terms. 3ab + 4ac + 5bd + 6ad + 4ac + 9ab + 6de 4. Simplify by combining like terms. x 3 + 2x 2 y + 2xy 2 + xy 2 + x 2 y + y 3 5. Simplify by combining like terms. 2 (8a 3 b 2 ) + 7ab 2 + 3 (5ab) - 3a 3 b 2 - ab Worked Solutions 1. 7m + n + 3p Rearrange and combine: 2m + 3n + 4p + 5m - 2n - p = 2m + 5m +3n - 2n + 4p - p = 7m + n + 3p 2. 5x 4 + 5x 3 + x 2 + 2x + 3 Rearrange and combine: 3x 2 + 5x 4 + 2x + 4x 3 - 2x 2 + x 3 + 3 = 5x 4 + 4x 3 + x 3 + 3x 2 - 2x 2 + 2x + 3 = 5x 4 + 5x 3 + x 2 + 2x + 3 Notice that the terms are listed in decreasing powers of the variable x.
A 121. C If you missed 120 or 121, go to “Quadratic and Other Inequalities,” page 241. 122. B If you missed 122, go to “Radical Equations with Quadratics,” page 245. Pretest 123. A (-4,3); B (0,4); C (-3,-4); D (4,-3); E (3,0) If you missed 123, go to “Graphing Points and Quadrants,” page 260. 124. B If you missed 124, go to “Graphing Lines,” page 263. 125. A 126. A 127. C If you missed 125, 126, or 127, go to “Graphs of Other Curves,” page 273. 128. C If you missed 128, go to “Finding the Equation of a Line,” page 283.
The rules listed in the following section involve what adjustments can be made to an expression and still keep it equivalent or equal to the original. Commutative Property of Addition and Multiplication The commutative property says that the order doesn’t matter. You get the same thing when you add 2 + 3 as you do when you add 3 + 2. The same thing happens in multiplication. Multiplying 4 × 7 is the same as multiplying 7 × 4. This is not the case in subtraction or division. Commutative Property of Addition: a + b = b + a Commutative Property of Multiplication: a $ b = b $ a Associative Property of Addition and Multiplication The associative property assures you that you can group or associate terms differently and get the same result.
Algebra I: Pt. I by Mary Jane Sterling