## ◂Math Worksheets and Study Guides Seventh Grade. Algebraic Equations

### The resources above correspond to the standards listed below:

#### Ohio Learning Standards

OH.7.EE. EXPRESSIONS AND EQUATIONS
Use properties of operations to generate equivalent expressions.
7.EE.2. In a problem context, understand that rewriting an expression in an equivalent form can reveal and explain properties of the quantities represented by the expression and can reveal how those quantities are related. For example, a discount of 15% (represented by p âˆ’ 0.15p) is equivalent to (1 âˆ’ 0.15)p, which is equivalent to 0.85p or finding 85% of the original price.
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.
7.EE.4.a. 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?
7.EE.4.b. Solve word problems leading to inequalities of the form px + q &gt; r or px + q &lt; r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, as a salesperson, you are paid \$50 per week plus \$3 per sale. This week you want your pay to be at least \$100. Write an inequality for the number of sales you need to make, and describe the solutions.