Algebra 1 End-of-Course Review
Module Two: Equations
In this module, you will be introduced to several properties that are used throughout Algebra. Next you will learn how to solve a variety of equations including one-step, multi-step, and literal. Then you will tie this knowledge to writing and solving equations from word problems.
Although you will learn to solve many different types of equations in this module, a common theme flows throughout - perform the opposite operation on both sides to get the variable by itself. When solving an equation for a variable, you must reverse the order of operations to undo each of the operations one at a time.
One-Step, Two-Step and Multi-Step Equations
When solving one-step equations, use the opposite operation to solve for the variable. With two-step equations, you will need to undo the addition/subtraction first. Afterwards you will need to undo the multiplication/division.When solving multi-step equations, use the following steps:
Let's look at some examples of each to refresh your memory.
Literal Equations (Formulas)
You solve a formula for a specific variable the same way you solve an equation for a specific variable. You need to undo each operation one at a time until the specified variable has been isolated using the reverse order of operations.
Word problems relate the math we are learning to real-world problems. A step by step approach is the best way to solve a word problem. Let's look at some steps to help set up and solve word problems.
Let's look at a couple of examples.
Age problems can be kind of tricky. The best thing to do is set up expressions to represent each person's age and then guess and check.
Let's look at an example to refresh your memory!
Consecutive Integer Problems
You discovered three different types of problems: consecutive integersIntegers1 unit from each other, Ex. 5, 6, 7 or x, x + 1, x + 2 , consecutive even integersEven integers are 2 units from each other, Ex. 6, 8, 10 or x, x + 2, x + 4 , and consecutive odd integersOdd integers are 2 units from each other, Ex. 5, 7, 9 or x, x + 2, x + 4 .
Check out an example.