Standard Form to slope intercept
Authored by Bethany Lawrence
Mathematics
9th Grade
CCSS covered
Used 558+ times
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About
This quiz focuses on converting linear equations between standard form (Ax + By = C) and slope-intercept form (y = mx + b), which is a foundational algebra skill typically taught in 9th grade. Students must demonstrate their understanding of the slope-intercept form components, where 'm' represents the slope and 'b' represents the y-intercept, while also mastering the algebraic manipulation required to isolate y when given equations in standard form. The core concepts students need include solving for y by using inverse operations, working with negative coefficients, and simplifying fractions when coefficients create fractional slopes. Students must also be able to identify slope and y-intercept values from both forms and recognize the different representations of linear equations. Created by Bethany Lawrence, a Mathematics teacher in US who teaches grade 9. This quiz provides excellent practice for students learning to work fluently between the two most common forms of linear equations, making it ideal for formative assessment during the linear functions unit. Teachers can use this as a warm-up activity to reinforce algebraic manipulation skills, assign it as homework to provide additional practice outside of class, or implement it as a quick review before moving on to more complex topics like systems of equations. The quiz effectively assesses students' procedural fluency with equation manipulation while reinforcing conceptual understanding of slope and y-intercept, supporting instruction aligned with Common Core standards A-CED.2 and A-REI.3, which focus on creating and solving linear equations in one variable and solving systems of linear equations.
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14 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What does 'b" represent in y=mx+b
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What does "m" represent in y=mx+b?
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write in slope intercept form. 2x + y = 2
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the equation in slope-intercept form:
-10x + 2y = 14
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the slope of the line with the equation. (Hint: put in slope-intercept form)
-5x + y = 11?
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the slope of the following equation. (Hint: put in slope-intercept form)
3x-6y=12
Tags
CCSS.8.EE.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the y-intercept for the following equation. (Hint: put in slope-intercept form)
4x + 2y = -12
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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