Algebra

Evaluate numerical expressions using the standard order of operations.

Add and subtract positive and negative numbers.

Multiply and divide positive and negative numbers.

Add and subtract fractions with unlike denominators.

Multiply and divide fractions.

Perform arithmetic with decimals in algebraic calculations.

Identify variables, constants, coefficients, and terms in an algebraic expression.

Evaluate an algebraic expression by substituting given values for its variables.

Translate verbal phrases into algebraic expressions.

Combine like terms to simplify an algebraic expression.

Apply the distributive property to expand an algebraic expression.

Simplify an expression using both the distributive property and combining like terms.

Explain how inverse operations preserve equality when solving an equation.

Solve one-step equations involving addition or subtraction.

Solve one-step equations involving multiplication or division.

Solve two-step linear equations in one variable.

Solve linear equations that contain parentheses.

Check whether a value is a solution to an equation.

Represent a simple word problem with a linear equation and solve it.

Solve one-step inequalities involving addition or subtraction.

Solve one-step inequalities involving multiplication or division, reversing the inequality sign when required.

Represent the solution of an inequality on a number line.

Plot ordered pairs on the coordinate plane.

Identify the rate of change and initial value in an equation of the form y = mx + b.

Create a table of values for a linear equation.

Graph a linear equation using a table of values.

Model a simple constant-rate situation with a linear equation.