Chapter Review
Vocabulary
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Skills and Concepts
2-1 Objectives
- To solve equations using addition and subtraction
- To solve equations using multiplication and division
The value of a variable that makes an equation true is a solution of the equation. To solve an equation you can use inverse operations, which are operations that undo one another. Addition and subtraction are inverse operations. So are multiplication and division.
To solve an addition or subtraction equation, subtract or add the same value to each side of the equation. To solve a multiplication or division equation, divide or multiply each side of the equation by the same nonzero value.
2-2 Objectives
- To solve two-step equations
- To use deductive reasoning
A two-step equation is an equation that has two operations. You can use tiles to model and solve a two-step equation. To solve a two-step equation, first add or subtract. Then multiply or divide.
2-3 and 2-4 Objectives
- To use the Distributive Property when combining like terms
- To use the Distributive Property when solving equations
- To solve equations with variables on both sides
- To identify equations that are identities or have no solution
You can combine like terms and use the Distributive Property to simplify expressions and solve equations. You can also use the properties of equality to solve an equation.
An equation has no solution if no value of the variable makes the equation true. An equation is an identity if every value of the variable makes the equation true.
2-5 and 2-6 Objectives
- To define a variable in terms of another variable
- To model distance-rate-time problems
- To transform literal equations
A literal equation is an equation that shows the relationship between two or more variables. A formula is a special type of literal equation. When you express one variable in terms of the others, you are solving the equation for that variable.
2-7 Objectives
- To find mean, median, and mode
- To make and use stem-and-leaf plots
Mean, median, and mode are three measures of central tendency. The range of a data set is the difference between the greatest and least items. A stem-and-leaf plot is a display that organizes the data by showing each item in order.
