Solving One-Step & Two-Step Equations

This eWorkbook is intended to be instructor lead however it can also be used independently.


Lesson Objective

Find an unknown number in a one-step addition, subtraction, multiplication or division problem. Find an unknown number in two-step equations (equations involving more than one operation). Use equations to solve word problems.

Common Core Correlation

Expressions & Equations

Reason about and solve one-variable equations and inequalities.

6.EE.5.  Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

6.EE.6.  Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

6.EE.7.  Solve real-world and mathematical problems by writing and solving equations of the form x +p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

Expressions & Equations

Use properties of operations to generate equivalent expressions.

7.EE.1.  Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7A001 

7.EE.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.


7.EE.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.


Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?