## ◂Math Worksheets and Study Guides Seventh Grade. Using Integers

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

#### North Dakota Academic Content Standards

ND.7.NS. The Number system
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.1.d. Apply properties of operations as strategies to fluently add and subtract rational numbers.
7.NS.2. Apply and extend previous understandings of multiplication, division, and fractions to multiply and divide rational numbers.
7.NS.2.a. eading to products such as (−1)(−1)=1 and the rules for multiplying rational numbers. Interpret products of rational numbers by describing real world contexts.
7.NS.2.b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If ݑ and ݰݑ are integers, then ޢ (ݑ/ݰݑ)=ޢȒݑ/ݰݑ=ްݑ/ݢȒݑ. Interpret products of rational numbers by describing real world contexts.
7.NS.2.c. Apply properties of operations as strategies to fluently multiply and divide rational numbers.
ND.7.EE. Expressions and Equations
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 ݑ(ݰݑ+Űݑ)=ްݑ, where ߰ݑ,ݰݑ, and ްݑ are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.