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:
Introduction
- Basic concepts
- Working with numbers
Equations and features
- Linear equations
- Algebraic fractions
- Polynomials and factoring
- Inequalities and absolute worth inequalities
- Radicals
- Quadratic equations
- Graphing
- Systems of equations
- Functions
Problem-Solving instruments
- Clear, concise stories of each topic
- Practice difficulties in each chapterwith factors and solutions
- Complete bankruptcy on tale problems
- Diagnostic pretest to evaluate your present skills
- Full-length examination that adapts in your ability level
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Extra info for Algebra I: Pt. I
Sample text
Occurs in the denominator of a fraction is to use a negative exponent: wwww w Example Problems These problems show the answers and solutions. 1. Write 3aaaaaaaaaa using exponents. answer: 3a 10 Simply count the number of identical variables (that is, the number of a’s used) and make that number the exponent. 2. Write 2 ⋅ 2 ⋅ 2xxyyzzzz using exponents. answer: 2 3 x 2 y 2 z 4 The letters can’t be combined, because they can stand for different numbers. Also, notice that the multiplication dot ($) is shown between the 2s but not between the letters or variables.
For example, -2 = 2 4 =4 |6 - 5| = |1| = 1 Absolute value can be a grouping symbol. Do what’s inside first. |m| = m if the variable represents a positive number and -m if the variable represents a negative number. ” x 2 = x when you don’t know whether the variable x is positive or negative. 38 CliffsStudySolver Algebra I Work Problems Use these problems to give yourself additional practice. 1. Simplify: 14a - 10a + 3(2b) 2. Simplify: 3(5a - a) 3. Simplify: 2 ⋅ 3 ⋅ n ⋅ n ⋅ n ⋅ n ⋅ p 4. Simplify: a 2 b 6 5.
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.