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Alg Linear equations why was the cat kicked out of school

Authored by Kris Fogarty

Mathematics

9th Grade

CCSS covered

Used 18+ times

Alg Linear equations why was the cat kicked out of school
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This quiz focuses on linear equations in algebra, specifically targeting the critical skills of writing equations in both point-slope and slope-intercept forms. The content is appropriate for 9th grade students who are developing fluency with linear functions and their various representations. Students need a solid understanding of slope as a rate of change, the relationship between points and lines, and the ability to manipulate algebraic expressions to convert between different forms of linear equations. The problems require students to identify points on lines from point-slope form, write point-slope equations given a point and slope, convert between point-slope and slope-intercept forms, and determine equations from two given points. Mastery of these concepts builds the foundation for more advanced topics in algebra and prepares students for graphing linear functions, solving systems of equations, and understanding linear relationships in real-world contexts. Created by Kris Fogarty, a Mathematics teacher in the US who teaches grade 9. This quiz serves as an excellent tool for reinforcing the fundamental concepts of linear equations through targeted practice with multiple formats and problem types. Teachers can deploy this assessment as a warm-up activity to gauge student readiness before introducing new linear equation concepts, use it for guided practice during instruction, or assign it as homework to solidify understanding after lessons on writing linear equations. The variety of question formats makes it particularly effective for formative assessment, allowing educators to identify specific areas where students struggle with point-slope versus slope-intercept forms. This content aligns with Common Core standards A-CED.2 (creating equations in two variables to represent relationships) and A-REI.10 (understanding that the graph of an equation represents the solution set), while supporting the broader algebraic reasoning skills outlined in the Functions domain.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

(-4, 3)
(3, -4)
(-3, -4)
(-4, -3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y +7 = -1/4(x - 4)
y - 4 = -1/4(x + 7)
y+ 7 = 4(x - 4)
y - 7 = -1/4(x - 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3

y + 1 = -3(x - 2)
y + 1 = -3(x + 2)
y - 1 = 3(x - 1)
y + 2 = -3(x + 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write an equation  
m = 5/4 through (-4, -3)

y = 5/4x +2
y = -5/4x + 2
y = 2x - 5/4
y = 3/4x + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write an equation in slope-intercept form that has m = 5 through (-1, -3)

y = 5x + 2
y = -5x - 5
y = -5x + 2
y = 2x - 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation in Point-Slope form that goes through the point (2,3) and has a slope of 5?

y - 3 = 5(x - 2)
y - 2 = 5(x - 3)
y + 3 = 5(x + 2)
y + 2 = 5(x + 3)

Tags

CCSS.HSA.CED.A.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

y = x - 3

y = - 3x + 1

y = x + 2

y= - 3x + 4

Tags

CCSS.HSA.CED.A.2

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