Grade 11 · Math · Algebra 2

11th grade Standard, vertex and factored forms, and greatest and least values worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Standard, vertex and factored forms, and greatest and least values

Grade 11 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Noah has 36 m of fence to go all the way around a rectangular vegetable bed. What is the greatest area, in square meters?
Pia has 56 m of fence for a rectangular flower bed against the school wall, fencing three sides. What is the greatest area, in square meters?
Ren has 52 m of fence to go all the way around a rectangular dog pen. What is the greatest area, in square meters?
Zee helps plan a sale. The art club sells 30 greeting cards at $2 each. Each $1 rise in price sells 3 fewer. What is the most money, in dollars, it can take in?
Esme helps plan a sale. The class car wash does 60 washes at $6 each. Each $1 rise in price loses 3 washes. What is the most money, in dollars, it can take in?
Jun helps plan a sale. The garden club sells 48 seedlings at $2 each. Each $1 rise in price sells 6 fewer. What is the most money, in dollars, it can take in?
Luz helps plan a sale. The class stand sells 50 cups of lemonade at $1 each. Each $1 rise in price sells 10 fewer. What is the most money, in dollars, it can take in?
Milo's water rocket follows h = -5t² + 30t + 2, with h in meters and t in seconds. What is its greatest height, in meters?
Noah's ball follows h = -16t² + 64t + 4, with h in feet and t in seconds. What is its greatest height, in feet?
Pia's model rocket follows h = -5t² + 40t + 1, with h in meters and t in seconds. What is its greatest height, in meters?

Standard, vertex and factored forms, and greatest and least values. Every version has 10 questions, and the answer key prints on the second page.

I can say which form shows the zeros, the vertex or the y-intercept.
I can complete the square with a front number to find the greatest or least value.
I can find the greatest area, money or height in a story.

Standard: F-IF.C.8a, A-SSE.B.3a, A-SSE.B.3b

standard form: y = ax² + bx + c; it shows the output at x = 0.

vertex form: y = a(x − h)² + k; it shows the turning point (h, k).

factored form: y = a(x − r)(x − s); it shows the zeros r and s.

greatest or least value: The output at the vertex: greatest if it opens down, least if up.

Your child mixed up vertex form and factored form.

Your child picked standard form, which only shows the output at x = 0.

Your child took out the front number but did not divide the x term by it.

Ask: which form has two brackets, and which has one squared bracket?

Ask: what can you read from y = 2x² − 12x + 10 without working?

Ask: what is 3(x² − 6x) multiplied out?

What is the most common mistake with standard, vertex and factored forms, and greatest and least values?

Your child mixed up vertex form and factored form.

How can I help my child with standard, vertex and factored forms, and greatest and least values?

Ask: which form has two brackets, and which has one squared bracket?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records