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Algebra 2 Skills - Unit 1, Day 3 Review - Printable Mathematics Worksheets - Wayground

Algebra 2 Skills - Unit 1, Day 3 Review

10 questions

11th - 11th Grade

Mathematics

Algebra 2 Skills - Unit 1, Day 3 Review is a Grade 11 mathematics worksheet focused on factoring expressions, identifying the required sum and product of two numbers, and multiplying algebraic expressions. It also asks students to evaluate function models and interpret points in context, including revenue based on customers and product capacity based on cardboard area. The worksheet contains 10 items: 9 multiple-choice questions and 1 open-ended reflection. Students demonstrate procedural fluency with factoring and multiplication, then connect function values to real-world meanings by writing or selecting statements that correctly describe modeled situations. The final prompts invite students to share feedback about the class and suggest a teacher action that could improve learning. This free printable worksheet includes a complete answer key for efficient review and grading.

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Worksheets

Algebra 2 Skills - Unit 1, Day 3 Review

Total questions: 10

Name
Class
Date
1.

When I factor x2−5x+4x^2-5x+4 , I am looking for two numbers that...

a)

add up to -5 and multiply to 4.

b)

add up to 5 and multiply to 4.

c)

add up to -5 and multiply to -4.

d)

add up to 5 and multiply to -4.

2.

Factor x4−3x2−10x^4-3x^2-10

a)

(x2−5)(x2+2)\left(x^2-5\right)\left(x^2+2\right)

b)

(x−5)(x+2)\left(x-5\right)\left(x+2\right)

c)

(x2+5)(x2−2)\left(x^2+5\right)\left(x^2-2\right)

d)

(x+5)(x−2)\left(x+5\right)\left(x-2\right)

3.

Factor x2−5x+6x^2-5x+6

a)

(x−3)(x−2)\left(x-3\right)\left(x-2\right)

b)

(x+3)(x+2)\left(x+3\right)\left(x+2\right)

c)

(x−6)(x+1)\left(x-6\right)\left(x+1\right)

d)

(x+6)(x−1)\left(x+6\right)\left(x-1\right)

4.

Factor x3−5x2+6x−30x^3-5x^2+6x-30

a)

(x2+6)(x−5)\left(x^2+6\right)\left(x-5\right)

b)

(x2−6)(x+5)\left(x^2-6\right)\left(x+5\right)

c)

(x+6)(x−5)\left(x+6\right)\left(x-5\right)

d)

(x−6)(x+5)\left(x-6\right)\left(x+5\right)

5.

Factor 3x3−3x2+5x−53x^3-3x^2+5x-5

a)

(3x2+5)(x−1)\left(3x^2+5\right)\left(x-1\right)

b)

(3x2+5)(x)\left(3x^2+5\right)\left(x\right)

c)

(x2+5)(3x−1)\left(x^2+5\right)\left(3x-1\right)

d)

(x2+5)(x−1)\left(x^2+5\right)\left(x-1\right)

6.

Jayden started a company while he was in high school. The amount of money that the company makes (revenue) as a function of the number of customers is modeled by f(x)=−25x2+459xf\left(x\right)=-25x^2+459x . Find the value of f(12) and write a sentence that represents the meaning of the point you calculated in the context of the model.

a)

f(12)=5208f\left(12\right)=5208

When Jayden's company has 12 customers, it's revenue is $5,208.

b)

f(12)=1908f\left(12\right)=1908

When Jayden's company has 12 customers, it's revenue is $1,908.

c)

f(12)=9108f\left(12\right)=9108

When Jayden's company has 12 customers, it's revenue is $9,108.

d)

f(12)=5808f\left(12\right)=5808

When Jayden's company has 12 customers, it's revenue is $5,808.

7.

Aamari is trying to come up with the best packaging for his new product. The number of items that can fit in one box as a function of square feet of cardboard is modeled by f(x)=−38x2+180x+2f\left(x\right)=-38x^2+180x+2 . If f(4)=114f\left(4\right)=114 , write a sentence that represents the meaning of this point in the context of the model.

a)

If a box has 4 square feet of cardboard, then it can hold 114 items.

b)

If a box has 114 square feet of cardboard, then it can hold 4 items.

8.

Multiply (x+3)(2x−1)(3x+4)\left(x+3\right)\left(2x-1\right)\left(3x+4\right)

a)

6x3+23x2+11x−126x^3+23x^2+11x-12

b)

23x4+6x3+11x−1223x^4+6x^3+11x-12

c)

2x2+5x−32x^2+5x-3

d)

6x3+23x2+11x2−126x^3+23x^2+11x^2-12

9.

How do you feel about this class so far?

a)
b)
c)
d)
e)
10.

What is one thing that your teacher can do to make this class work even better for you?

4 lines
Answer Key

Algebra 2 Skills - Unit 1, Day 3 Review

Total questions: 10

1.
a)

add up to -5 and multiply to 4.

2.
a)

(x2−5)(x2+2)\left(x^2-5\right)\left(x^2+2\right)

3.
a)

(x−3)(x−2)\left(x-3\right)\left(x-2\right)

4.
a)

(x2+6)(x−5)\left(x^2+6\right)\left(x-5\right)

5.
a)

(3x2+5)(x−1)\left(3x^2+5\right)\left(x-1\right)

6.
b)

f(12)=1908f\left(12\right)=1908

When Jayden's company has 12 customers, it's revenue is $1,908.

7.
a)

If a box has 4 square feet of cardboard, then it can hold 114 items.

8.
a)

6x3+23x2+11x−126x^3+23x^2+11x-12

9.
n/a
10.
n/a

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FAQs

What does the Algebra 2 Skills - Unit 1, Day 3 Review worksheet cover?

This Grade 11 worksheet combines factoring and multiplication practice with function-model interpretation. Students answer multiple-choice questions about finding numbers with a specified sum and product, factor several expressions, evaluate a revenue function at 12 customers, and interpret a point from a packaging model. An open-ended reflection asks students to give feedback about the class.

How can I use this worksheet to teach factoring and function notation?

Begin by modeling how the sum and product of two numbers determine a factorization, then have students explain why the correct pair must satisfy both conditions. After the factoring items, use the revenue and packaging questions to demonstrate that the input comes first and the output gives its corresponding value. Ask students to justify each contextual statement in words before completing the class-reflection prompts.

What mistakes should I watch for when students complete this worksheet?

Students may choose numbers with the correct sum but the wrong product, or reverse the signs when identifying the pair needed for factoring. In the function-model items, watch for students who confuse the input and output, such as treating 114 items as the number of square feet instead of the modeled result for 4 square feet. Students may also calculate a function value correctly but select a sentence that does not match its real-world meaning.

How do I assign and grade this worksheet?

The Algebra 2 Skills - Unit 1, Day 3 Review worksheet is available as a printable PDF and as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time while students practise factoring and function interpretation.

How can I differentiate this factoring and function-interpretation worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the factoring notation, function-model choices, and reflection prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate. These file-level options let you create a more accessible version without changing the 10-item structure.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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