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Solving Equations

Writing and Solving Linear Equations with Angle Measurements WORKSHEET

Suitable for Grades: Algebra I, IM 1
CCSS: 7.EE.B.4, HSA.REI.B.3
CCSS Description: 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. a. 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? b. 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.

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Writing and Solving Linear Equations with Angle Measurements WORKSHEET DESCRIPTION

This worksheet is designed to help learners apply their knowledge of solving equations to finding missing angles. Sections A and B present some scalene, right, and isosceles triangles with angles labelled algebraically. Learners must find the sizes of the smallest and largest angles in each triangle. Sections C and D involve problems with quadrilaterals, some involving trapezoids and parallelograms.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Writing and Solving Linear Equations Worksheet suitable for students in High School

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Frequently Asked Questions

Students should be comfortable writing and solving linear equations since this is the core skill needed to find unknown angle measures. They'll also need to recall basic angle relationships in triangles and quadrilaterals, such as knowing that triangle angles sum to 180° and quadrilateral angles sum to 360°.