Idiot\'s Guides Basic Math and Pre-Algebra

CHAPTER 9 Adding and Subtracting with Variables In This Chapter: Understanding terms How to identify like terms Adding and subt ...

110 Part 2: Into the Unknown When Are Terms “Like Terms”? You’re often going to see the word term in this chapter, so let’s star ...

Chapter 9: Adding and Subtracting with Variables 111 When Can You Combine Terms? Terms may only involve multiplication, but you ...

112 Part 2: Into the Unknown WORLDLY WISDOM What is the pattern to x + x^2? If x = 1, x + x^2 = 2 or 2x. If x = 2, x + x^2 = 6 o ...

Chapter 9: Adding and Subtracting with Variables 113 CHECK POINT Label each pair of terms like or unlike. 7y^2 and 11y 3t^2 and ...

114 Part 2: Into the Unknown WORLDLY WISDOM When you add fractions, you need to have like denominators. When you add terms, you ...

Chapter 9: Adding and Subtracting with Variables 115 How about this one? Simplify -4xy(6x + 7y) using the same rules. Parenthese ...

116 Part 2: Into the Unknown Now that first term has a negative multiplied by a negative, so the result is going to be positive. ...

Chapter 9: Adding and Subtracting with Variables 117 Polynomials There’s a particular group of expressions, which you’ll hear ab ...

118 Part 2: Into the Unknown CHECK POINT Give the degree of each polynomial. -3a^3 + 5a^2 – 3a + 12 6 + 3b -4b^2 2t – 9 + 7t^2 ...

Chapter 9: Adding and Subtracting with Variables 119 The Least You Need to Know A term is a constant, a variable, or the produc ...

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CHAPTER 10 Solving Equations and Inequalities ....................................... In This Chapter Solving one- and two-step ...

122 Part 2: Into the Unknown Using Equations to Find the Missing Number Variables can stand for numbers that are unknown or numb ...

Chapter 10: Solving Equations and Inequalities 123 Solving One-Step Equations The simplest equations are the ones in which only ...

124 Part 2: Into the Unknown There are four operations of arithmetic so here’s the fourth example. In this one, you see division ...

Chapter 10: Solving Equations and Inequalities 125 Solving an equation is undoing what was done by doing the opposite and stripp ...

126 Part 2: Into the Unknown Are you ready for another example? This one is a little different, just because the order of the op ...

Chapter 10: Solving Equations and Inequalities 127 Undo the multiplication by dividing both sides by -3. When that’s cleared, yo ...

128 Part 2: Into the Unknown In the equation 7x – 4 = 5x + 2, you might choose to eliminate 5x. You do that by subtracting 5x fr ...