Elementary Algebra Review Part 22

In this lesson, students learn how to write word statements as variable expressions and equations, then solve and check them. Through a series of word problems, they are guided on how to set up equations and solve for variables, including how to check their work using common sense. By the end of the lesson, students should be comfortable solving algebraic word problems and be able to confidently apply these skills to a range of other problems.

Writing word statements as variable expressions and equations and solving them.

• How do you write word statements as variable equations and solve them?
• What does it mean to define a variable?
• If the difference between three times a number and four is five times the number, what is the number?
• How do you translate words into Algebra?
• If 3n - 4 = 5n, what is n?
• How do you check your solution to a word problem?
• If the largest of three numbers is three times the smallest number, and the middle number is one less than twice the smallest number, and the sum of the three numbers is 77, what are the three numbers?
• If n, 2n - 1, and 3n add up to 77, what does each equal?