Search the California Content Standards

Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.

Standard:
Write and evaluate numerical expressions involving whole-number exponents.

Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.

Standard:
Write, read, and evaluate expressions in which letters stand for numbers. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.

Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.

Standard:
Write, read, and evaluate expressions in which letters stand for numbers. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.

Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.

Standard:
Write, read, and evaluate expressions in which letters stand for numbers. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.

Standard:
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.

Standard:
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

Cluster:
Reason about and solve one-variable equations and inequalities.

Standard:
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.

Cluster:
Reason about and solve one-variable equations and inequalities.

Standard:
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.

Cluster:
Reason about and solve one-variable equations and inequalities.

Standard:
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.

Cluster:
Reason about and solve one-variable equations and inequalities.

Standard:
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.