Topics
3. Linear Functions
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United States of AmericaVirginia
Algebra 1

3.04 Standard form

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

For each of the following equations, determine which form they are written in.

a

$y=-4x+5$y=−4x+5

Standard form

A

Slope-intercept form

B

Point-slope form

C
b

$y-1=5\left(x-4\right)$y−1=5(x−4)

Standard form

A

Slope-intercept form

B

Point-slope form

C
c

$5x-3y=8$5x−3y=8

Standard form

A

Slope-intercept form

B

Point-slope form

C
Easy
< 1min

Which of the following could be the equation of the graphed line?

Easy
1min

Line L1 has the following equation: $2x+5y=35$2x+5y=35

Medium
2min

Consider the line L1 with equation: $5x+y=1$5x+y=1

Medium
1min
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Outcomes

A.F.1

The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

A.F.1a

Determine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.

A.F.1c

Write equivalent algebraic forms of linear functions, including slope-intercept form, standard form, and point-slope form, and analyze and interpret the information revealed by each form.

A.F.1di

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: i) given the graph of a line;

A.F.1dii

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: ii) given two points on the line whose coordinates are integers;

A.F.1diii

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: iii) given the slope and a point on the line whose coordinates are integers;

A.F.1div

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: iv) vertical lines as x = a;

A.F.1dv

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: v) horizontal lines as y = c.

A.F.1f

Graph a linear function in two variables, with and without the use of technology, including those that can represent contextual situations.

A.F.1h

Compare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.

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