Parametric Equations Worksheet

This worksheet focuses on understanding and working with parametric equations, including converting between parametric and Cartesian forms, and sketching graphs.

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Grade 10 Math AlgebraParametric Equations

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.C.7e

Topics

Parametric EquationsAlgebraGraphingGrade 10 Math

8 sections · Free to use · Printable

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Parametric Equations Practice

Name:

Date:

Score:

Read each question carefully and follow the instructions. Show all your work for full credit.

1. In parametric equations, both x and y are expressed as functions of a third variable, usually denoted by , which is called the .

2. To convert a parametric equation to a Cartesian equation, we often the parameter from the two equations.

1. Convert the following parametric equations to a Cartesian equation:

x = t + 3

y = 2t - 1

1. Which of the following is a parametric representation of the line y = 3x - 2?

x = t, y = 3t + 2

x = t, y = 3t - 2

x = 3t, y = t - 2

x = t - 2, y = 3t

1. Consider the parametric equations:

x = t^2

y = t + 1

Complete the table of values for t from -2 to 2.

-2

-1

2. Sketch the graph of the parametric equations using the values from the table above.

1. Parametric equations always represent a straight line.

True

False

2. The parameter 't' in parametric equations often represents time.

True

False

1. Write a set of parametric equations for a circle with radius 5 centered at the origin.

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