Word statements, properties review, and solving equations

In this lesson, students review writing algebraic expressions from word statements, properties of real numbers, and solving equations for a variable. The three main steps for solving equations are simplifying, isolating the variable, and solving the equation. The properties of real numbers discussed include the reflexive, symmetric, and transitive properties. Additionally, a shortcut for dealing with fractions in fractions is provided, where the bottom fraction is put on top and flipped.

This is a review of writing algebraic expressions from word statements, properties of real numbers, and solving equations for a variable.

• What does 7/(1/5) equal?
• How do you write algebraic expressions from word statements?
• What are the steps for solving equations?
• What are the properties of real numbers?
• How do you solve an equation for a specified variable?
• How do you write an algebraic expression to represent 6 times the cube of a number?
• How do you write an algebraic expression to represent the square of a number decreased by the product of 5 and the same number?
• How do you write an algebraic expression to represent twice the difference of a number and 6?
• How do you name the property illustrated by the statement, if xy = 28 and x = 7 then 7y = 28?
• What is the property illustrated by the statement, a - 2.03 = a - 2.03?
• What are the reflexive, symmetric, transitive, and substitution properties?
• How do you solve 18 = 1/2t?
• How do you solve 53 = 3(y - 2) - 2(3y - 1)?
• How do you distribute a negative number into parentheses?
• If A = 1/2(b1 + b2)h, how do you solve for h?
• How do you solve a formula for a given variable?
• How do you simplify an expression if you are dividing by a fraction?