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Grade 6: Expressions and Equations838 questions43 skills
Grade 6: Expressions and Equations
838 questions43 skills
84 questions5 skills
Write and evaluate numerical expressions involving whole-number exponents.
254 questions12 skills
Write, read, and evaluate expressions in which letters stand for numbers.
Evaluating expressions with multiple variables
Writing expressions with variables
Evaluating expressions with one variable
Writing expressions word problems
Parts of algebraic expressions
Writing basic expressions with variables
Expression value intuition
Order of operations with fractions and exponents
Evaluating expressions with variables word problems
Writing basic expressions word problems
Evaluating expressions with multiple variables: fractions & decimals
Order of operations
109 questions4 skills
Write expressions that record operations with numbers and with letters standing for numbers.
85 questions3 skills
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.
129 questions7 skills
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).
125 questions6 skills
Apply the properties of operations to generate equivalent expressions.
108 questions5 skills
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
112 questions6 skills
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.
53 questions3 skills
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.
222 questions12 skills
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.
One-step multiplication & division equations
One-step addition & subtraction equations
Model with one-step equations
Testing solutions to equations
One-step addition & subtraction equations: fractions & decimals
Find the mistake in one-step equations
Solve equations from visual models
Identify equations from visual models (tape diagrams)
Model with one-step equations and solve
Translate one-step equations and solve
Identify equations from visual models (hanger diagrams)
One-step multiplication & division equations: fractions & decimals
56 questions3 skills
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.
64 questions4 skills
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.