Word problems are mathematical exercises that are presented in the form of a story or scenario. These problems require students to use their math skills to interpret the information given in the problem, set up equations, and solve for the unknown.

**Read the problem carefully:**Understand the given information and what needs to be solved.**Identify the key information:**Determine what quantities are given and what needs to be found.**Choose a strategy:**Decide which operation or method (addition, subtraction, multiplication, division, etc.) to use to solve the problem.**Set up the equation:**Translate the information in the problem into a mathematical equation or inequality.**Solve the equation:**Use the appropriate math operation to find the solution.**Check your answer:**Verify that the solution makes sense in the context of the problem.

Word problems can cover a wide range of mathematical concepts including:

- Basic operations (addition, subtraction, multiplication, division)
- Fractions and decimals
- Percentages
- Algebraic equations
- Geometry
- Ratio and proportion

To excel at solving word problems, it is important to practice regularly and understand the underlying mathematical concepts. Here are some study tips:

**Understand the problem:**Read the problem several times to comprehend the given information and the question being asked.**Identify key words:**Look for words like "sum," "difference," "product," "total," "more than," "less than," etc., to determine the operation to be used.**Practice setting up equations:**Work on translating the information in the problem into mathematical equations or inequalities.**Practice different types of problems:**Work on a variety of word problems covering different mathematical concepts to build proficiency.**Apply math skills:**Use your knowledge of math operations, fractions, decimals, percentages, and algebra to solve the problems.**Check your work:**After solving the problem, re-read the question and ensure that your answer makes sense in the context of the problem.

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.