Units 1.2 and 1.3
Use the following function rule to find f(11).
f(x)=12x+9
141
Write an expression with a base of 8 that is equivalent to
8^3*8^2
8^5
Simplify
2sqrt(3)+7sqrt(3)
9sqrt(3)
Simplify. Express your answer using positive exponents.
(3p^8)(4p^5)(10p)
120p^14
Add:
(6f^2+4f+8)+(3f+3)
6f^2+7f+11
Use the following function rule to find f(5).
f(x)=x^2+3
28
Write an expression with a base of 10 that is equivalent to
10^22/10^2
10^20
Simplify
-6sqrt(6)+sqrt(96)
-2sqrt(6)
Simplify. Express your answer using positive exponents.
3k*8k^-1*2k^-3
48/k^3
Subtract:
(-6b^2+7b-6)-(6b^2+8b-8)
-12b^2-1b+2
Use the following function rule to find f(-4).
f(x)=4+72/x
-14
Simplify
25^(1/2)
5
Multiply. Write your answer in simplest form.
sqrt(2)*sqrt(5)
sqrt(10)
How many terms does this polynomial have?
-u^7+2u^3+8u^2
3 terms
Find the product. Simplify your answer.
(2x+4)(2x-4)
4x^2-16
Hanson sells fresh, homemade pasta at the farmers' market. For every "x" grams of flour he uses, he can make f(x) bags of pasta.
What does f(500) = 6 tell you? Fill in the blanks.
With _____ grams of flour, Hanson can make _______ bags of pasta.
With 500 grams of flour, Hanson can make 6 bags of pasta.
Simplify
(-8)^(-1/3)
-1/2
Multiply. Write your answer in simplest form.
sqrt(45)*sqrt(7)
3sqrt(35)
What is the degree of this polynomial?
7x^3+3x^2
The degree is 3.
Find the product. Simplify your answer.
(3x+1)(2x-3)
6x^2-7x-3
Over summer break, Caleb needs to read a book for his English class. The function f(x) gives the total number of chapters he has read by day "x" of summer break.
What does f(12) = 24 tell you? Fill in the blanks.
After _____ days of summer break, Caleb has read _______ chapters.
After 12 days of summer break, Caleb has read 24 chapters.
Simplify
(-1)^(1/3)
-1
Simplify
sqrt(25/9)
5/3
Write this polynomial in standard form:
-2d^3-8d^4+16
-8d^4-2d^3+16
Find the product. Simplify your answer.
(2x+4)(3x^2-x-3)
6x^3+10x^2-10x-12