Grade 7 · Algebra · Linear Patterns, Expressions, and Inequalities

Connect Patterns and Algebra

Algebra describes relationships that hold for many values. Like terms can combine because they count the same variable unit.

The big idea

Rate, initial value, and constraint play different roles

In y = 5x + 8, 5 is the constant rate and 8 is the initial value. In 5x + 8 ≤ 33, the inequality adds a constraint on possible x-values.

Work it through

For parents and educators

Grade 7 Mathematics · Strand C: Algebra

View supported expectations

C1.1 · Patterns

Identify and compare a variety of repeating, growing, and shrinking patterns, including linear patterns, using their rates of change and initial values.
C1.4 · Patterns

Create and describe patterns to illustrate relationships among integers.
C2.1 · Variables and Expressions

Add and subtract monomials with a degree of 1 that involve whole numbers, using tools.
C2.2 · Variables and Expressions

Evaluate algebraic expressions that involve whole numbers and decimal numbers to tenths.
C2.3 · Equalities and Inequalities

Solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions.
C2.4 · Equalities and Inequalities

Solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions.