Grade 6 Math · Topic guide
Expressions & Equations — Grade 6 Math
Combine the like terms. Identify dependent and independent variables. Use the distributive property to expand.
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What you’ll learn
- Combine the like terms.
- Identify dependent and independent variables.
- Use the distributive property to expand.
- Given a one-variable equation and a specified finite set of candidate values, explain that a solution is a value that makes the two sides equal and identify which candidates must be tested.
Explore the skills
Choose an idea below to read a worked example and try one question.
- Combine simple like termsCombine the like terms.
- Identify dependent and independent variablesIdentify dependent and independent variables.
- Apply distributive propertyUse the distributive property to expand.
- Understand what it means to solve an equationGiven a one-variable equation and a specified finite set of candidate values, explain that a solution is a value that makes the two sides equal and identify which candidates must be tested.
- Recognize equivalent expressionsRecognize equivalent expressions.
- Evaluate powersEvaluate powers.
- Evaluate multi-variable expressionsEvaluate multi-variable expressions.
- Evaluate one-variable expressionsEvaluate the expression when x = 0.
- Understand whole-number exponentsUnderstand whole-number exponents.
- Factor numerical/algebraic expressionsFactor numerical/algebraic expressions.
- Graph x > c, x < c, x ≥ c, x ≤ cStudents will interpret, construct, and verify number-line graphs for strict inequalities of the form x > c or x < c, using an open endpoint at c and the correct ray direction.
- Understand inequality solutionsIs the candidate a solution of the inequality?
- Solve one-step addition/subtraction equationsGiven an equation of the form x + p = q or x - p = q with a unique nonnegative rational solution, solve for x using an inverse operation and verify the result by substitution.
- Solve one-step multiplication/division equationsGiven an equation of the form px = q or x / p = q with p nonzero and a unique nonnegative rational solution, solve for x using an inverse operation and verify the result by substitution.
- Evaluate expressions using order of operationsEvaluate the expression. You may submit an intermediate step or the final value.
- Interpret algebraic expressionsInterpret algebraic expressions.
- Represent relationships using equationsRepresent relationships using equations.
- Graph relationships between variablesGraph relationships between variables.
- Represent relationships using tablesRepresent relationships using tables.
- Substitute values for variablesGiven an expression in one or two variables and specified values, replace every variable occurrence with the specified value and produce a numerical expression with grouping preserved.
- Identify parts of expressionsIdentify parts of expressions.
- Test whether a value satisfies an equationTest whether a value satisfies an equation.
- Understand variablesGiven a mathematical or real-world statement containing one letter, identify whether the letter represents an unknown value or any value in a stated set and name the stated set when one is provided.
- Write simple equations from situationsWrite simple equations from situations.
- Translate verbal descriptions into expressionsTranslate verbal descriptions into expressions.
- Write inequalities from situationsWrite inequalities from situations.