➕ 7th Grade Math · Unit 2
Expressions and Equations
20 short narrated lessons in 4 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.
Standards: 7.EE.A.1 7.EE.A.2 7.EE.B.4 7.EE.B.3
What your child will learn
Equivalent expressions
- Combining Like TermsSimplify expressions like three x plus two minus x plus five by combining like terms.
- Using the Distributive PropertyExpand expressions like negative two times the quantity x minus four using the distributive property.
- Factoring ExpressionsFactor expressions like six x plus nine into three times the quantity two x plus three.
- Rewriting Expressions to Show MeaningRewrite an expression in a different form, like a plus five hundredths a as one and five hundredths a, to show what it means in a problem.
- Equivalent Expressions Review ReviewReview combining like terms, the distributive property, factoring and rewriting expressions.
Two-step equations
- Keeping Equations BalancedUse the idea of a balance to explain why you must do the same thing to both sides of an equation.
- Solving Equations Like px + q = rSolve two-step equations like three x plus five equals twenty by undoing operations in reverse order.
- Solving Equations Like p(x + q) = rSolve equations like two times the quantity x plus three equals sixteen by dividing first or distributing first.
- Two-Step Equation Word ProblemsWrite and solve a two-step equation for a word problem and check that the answer makes sense.
- Two-Step Equations Review ReviewReview solving two-step equations and using them for word problems.
Inequalities
- Writing InequalitiesWrite inequalities using words like at least, at most, more than and less than.
- Solving Two-Step InequalitiesSolve inequalities like two x plus three is greater than eleven using inverse operations.
- Flipping the Inequality SignExplain why the inequality sign flips when you multiply or divide both sides by a negative number.
- Graphing and Interpreting SolutionsGraph the solutions of an inequality on a number line and explain what they mean in a word problem.
- Inequalities Review ReviewReview writing, solving and graphing inequalities, including flipping the sign.
Solving multi-step problems
- Switching Between Fractions, Decimals and PercentsChange numbers between fraction, decimal and percent forms to make a problem easier to solve.
- Estimating to Check AnswersUse rounding and mental math to estimate an answer and decide if a calculated answer is reasonable.
- Solving Real-World Multi-Step ProblemsSolve multi-step problems that mix whole numbers, fractions, decimals and percents.
- Solving Multi-Step Problems: Review ReviewReview converting between number forms, estimating and solving multi-step problems.
- Unit 2 Test: Expressions and EquationsShow what you learned in the whole unit (Equivalent expressions, Two-step equations, Inequalities, Solving multi-step problems) by answering mixed questions.
Try a question from this unit
From the lesson “Combining Like Terms”
Simplify 5x + 3 + 2x.
Show the answer
7x + 3. The like terms 5x and 2x combine to 7x, and the constant 3 has no partner, so the result is 7x + 3. The answer 10x adds a constant to x-terms, which are different kinds of terms.
Hint kids see after a wrong try: “Only terms with the same variable part can be put together. Find the terms that have an x, and leave the others alone.”
Key words
- like terms
- coefficient
- distributive property
- expand
- factor
- greatest common factor
- equivalent expressions
- equation
- inverse operation
- two-step equation
- variable
- solution
- inequality
- at least
- at most
- solution set
- reverse
- open circle
- closed circle
- percent
- decimal
- fraction
- estimate
- reasonable
Try these lessons in Kids Shelf
Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.
