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Algebra 1 Topic 3 Review

Authored by Andrew Dugal

Mathematics

9th Grade

CCSS covered

Used 32+ times

Algebra 1 Topic 3 Review
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This quiz comprehensively covers foundational Algebra 1 concepts appropriate for 9th grade students. The questions assess three primary areas: functions and their properties, function transformations, and data analysis with correlation. Students need to understand domain and range as input and output values of functions, recognize reasonable constraints on domains based on real-world contexts, and evaluate functions by substituting given values. The transformation questions require students to identify vertical and horizontal shifts by analyzing algebraic changes in function notation. The data analysis portion tests understanding of correlation strength, association types, and the distinction between interpolation and extrapolation. Students must demonstrate both computational skills and conceptual reasoning about how mathematical relationships apply to practical situations. Created by Andrew Dugal, a Mathematics teacher in the US who teaches grade 9. This quiz serves as an excellent review tool for students completing their third unit in Algebra 1, reinforcing critical concepts before summative assessments. Teachers can implement this as a formative assessment to identify areas needing reteaching, assign it as homework to reinforce classroom learning, or use it as a warm-up activity to activate prior knowledge before introducing new topics. The variety of question types makes it particularly effective for differentiated instruction and helps students build confidence with function analysis and data interpretation. This content aligns with Common Core standards A-IF.1, A-IF.2, A-IF.3 for interpreting functions, F-IF.7 for analyzing function behavior, and S-ID.6 for representing data on scatter plots and analyzing correlation.

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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the Domain and Range for the function

{(4, 1), (2, 3), (0, 4), (5, 3)}

Domain: {0, 2, 4, 5}

Range: {1, 3, 4}

Domain: {2, 0, 4, 5}

Range: {1, 3, 4}

Domain: {0, 2, 4, 5}

Range: {4, 3, 1}

Domain: {0, 2, 4, 5}

Range: {3, 1, 4}

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Function: A person drinks n ounces of a 20-ounce sports drink.


Would a reasonable domain for this function include all real numbers?

Yes because you can drink a fraction of an ounce

No because you can not drink negative ounces of sports drink

Yes because you could drink 0 ounces of sports drink

What is sports drink?

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What constraints, if any, would need to be placed on the domain of the given function?


Function: An airplane ascends to a cruising altitude at the rate of 1,000ft/min for m minutes

The domain should be greater than 0 and however high the typical plane flies

No constraints are reasonable

The domain should be greater than 1 because if it was 0 the plane would crash

I hate all of this

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Evaluate the function for the elements in the domain {-4, -2, 0, 2, 4}


Functions: f(x) = 2x - 1

{-9, -5, -1, 3, 7}

{-10, -6, -2, 2, 6}

{-11, -6, -0, 3, 7}

{-10, -5, -1, 3, 7}

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

g(x) is a translation of f(x) in by how many and in what direction?


f(x) = 2x

g(x) = (2x) - 2

Shifts up 2 units

Shifts down 2 units

Shifts left 2 units

Shifts right 2 units

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

g(x) is a translation of f(x) in by how many and in what direction?


f(x) = x

g(x) = x + 2

Shifts up 5 units

Shifts down 5 units

Shifts left 5 units

Shifts right 5 units

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

g(x) is a translation of f(x) in by how many and in what direction?


f(x) = 4x - 5

g(x) = 4(x - 3) - 5

Up 3 units

Down 3 units

Left 3 units

Right 3 units

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