Prentice Hall Algebra 1

Chapter 2 Solving Equations > 2 Chapter Review

2 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Equivalence You can represent an equation in many ways. Equivalent representations have the same solution as the original equation.	Solving Equations (Lessons 2–1, 2–2, 2–3, 2–4) Equivalent equations have the same solution(s). To solve a given equation, form a series of simpler equivalent equations that isolate the variable.
2 Solving Equations and Inequalities You can use properties of numbers and equality to transform equations into equivalent, simpler equations and find solutions.	Solving Equations (Lessons 2–1, 2–2, 2–3, 2–4) Use equations to model real-world situations and find unknown quantities.	Literal Equations and Formulas (Lesson 2–5) Formulas represent reliable real-world relationships. Use them to solve problems.
3 Proportionality In a proportional relationship, the ratios of two quantities are equal. You can use this relationship to describe similar figures, scale models, and rates.	Rates, Proportions, and Similar Figures (Lessons 2–6, 2–7, 2–8) Use rates to model ideas like growth, speed, and unit prices. Use proportions to interpret scale drawings.	Percents (Lessons 2–9, 2–10) Formulas represent reliable real-world relationships. Use them to solve problems.

Chapter Vocabulary

Choose the correct term to complete each sentence.

Addition and subtraction are examples of modified under bar with question mark above because they undo each other.
An equation that is true for every value of the variable is a(n) modified under bar with question mark above , .
A ratio of two equivalent measures given in different units is a(n) modified under bar with question mark above , .
On a map, information such as “1 in. : 5 mi” is the modified under bar with question mark above of the map.
In the proportion a b = c d , eh over b , equals , c over d , comma ad and bc are the modified under bar with question mark above , .

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