Writing equations and inequalities from word problems worksheet

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Related Resources

The various resources listed below are aligned to the same standard, (7EE04) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

• Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
• Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Example/Guidance

• Solving Simple Equations in 2 Steps

Worksheet

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Solve real-life and mathematical problems using numerical and algebraic expressions and equations

• Equations with subtraction e.g. x – 4 = 2 (From Worksheet)
• Equations with division e.g. n/2 = 12 (From Worksheet)
• Subtraction & addition equations (1 of 2) e.g. a + 3 = 7 and x – 9 = 11 (From Worksheet)
• Subtraction & addition equations (2 of 2) e.g. a + 3 = 7 and x – 9 = 11 (From Worksheet)
• Multiplication & division equations (1 of 2) e.g. 3n = 12 and a/7 = 3 (From Worksheet)
• Multiplication & division equations (2 of 2) e.g. 3n = 12 and a/7 = 3 (From Worksheet)
• Addition, subtraction, multiplication & division equations (From Worksheet)
• Addition, subtraction, multiplication & division equations (From Worksheet)
• Solving equations in two steps (1 of 4) e.g. 5n + 4 = 29 (From Worksheet)
• Solving equations in two steps (2 of 4) e.g. a/4 + 3 = 7 (From Worksheet)
• Solving equations in two steps (3 of 4) e.g. 7n – 3 = 18 (From Worksheet)
• Solving equations in two steps (4 of 4) e.g. b/9 – 4 = 6 (From Worksheet)