Multiple Representations in Algebra

Explore multiple representations of linear and quadratic functions through tables, graphs, and equations for Grade 10 Algebra.

Grade 10 Math AlgebraMultiple Representations

Use This Worksheet

Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.A.1

Topics

AlgebraFunctionsMultiple RepresentationsGraphsEquationsTables

8 sections · Free to use · Printable

Name:

Date:

Score:

Read each question carefully and follow the instructions to represent the given functions in different ways.

1. The table below shows a linear relationship between x and y. Write the equation of the line in slope-intercept form (y = mx + b).

| x | y |

|---|---|

| 0 | 5 |

| 1 | 8 |

| 2 | 11 |

| 3 | 14 |

2. Complete the table of values for the quadratic function y = x² - 3x + 2.

| x | y |

|---|---|

| -1 | |

| 0 | |

| 1 | |

| 2 | |

| 3 | |

3. Which equation best represents the graph shown?

y = 2x + 1

y = -2x + 1

y = x + 2

y = -x + 2

4. Graph the function y = -x² + 4 on the coordinate plane below.

5. Fill in the blanks to match the representation with its type.

a) y = 3x - 7 is an example of an .

b) A set of ordered pairs like (1, 5), (2, 7) represents a .

c) A visual display of points on a coordinate plane is a .

6. Indicate whether each statement is True or False.

a) A linear function always forms a straight line when graphed.

True

False

b) All quadratic functions have a constant rate of change.

True

False