Algebra 1 Review of Semester 2

• 5

• 19

• 30

• 60

Answer explanation

$f\left(5\right)=4\left(5\right)+10\ =\ 30$

Tags

CCSS.HSF.BF.A.2

• yes

• no

Tags

CCSS.HSF.BF.A.2

• 23, 19, 15, 11, 7

• 27, 23, 19, 15, 11

• 11, 15, 19, 23, 27

• 7, 11, 15, 19, 23

Answer explanation

$f\left(1\right)=27-4\left(1-1\right)=27-4\left(0\right)=27-0=27$ $f\left(2\right)=27-4\left(2-1\right)=27-4\left(1\right)=27-4=23$ $f\left(3\right)=27-4\left(3-1\right)=27-4\left(2\right)=27-8=19$ $f\left(4\right)=27-4\left(4-1\right)=27-4\left(3\right)=27-12=15$ $f\left(5\right)=27-4\left(5-1\right)=27-4\left(4\right)=27-16=11$

Tags

CCSS.HSF.BF.A.2

• f(n) = 25 + 75(n - 1)

• f(n) = 25 + 75(n + 1)

• f(n) = 75 + 25(n - 1)

• f(n) = 75 + 25(n + 1)

Answer explanation

The first value in the sequence is f(1) = 75.

The common difference is d = 25.

The general form of an explicit rule is

f(n) = f(1) + d(n - 1).

So the correct answer is

f(n) =75 + 25(n - 1)

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

This is an example of a arithmetic sequence written in recursive form:

f(1) = 11, f(n) = f(n-1) - 4 for n≥2

• true

• false

Answer explanation

Tags

CCSS.HSF.IF.A.3

This is an example of a arithmetic sequence written in explicit form:

f(n) = 8 + 4(n −1)

• true

• false

Answer explanation

Explicit Form

Tags

CCSS.HSF.BF.A.2

 $\left(4x^2\right)\left(10x\right)$ 

Simplify the expression

•  $40x^2$  

•  $14x^2$  

•  $40x^3$  

•  $14x^3$  

Answer explanation

Tags

CCSS.HSA.APR.A.1

 $\left(\frac{4r^2t^2}{m^267}\right)^0$  

•  $\frac{m^267}{4r^2t^2}$  

•  $\frac{4r^2t^2}{m^267}$  

• 0

• 1

Answer explanation

Tags

CCSS.HSA.APR.A.1

 $\left(\frac{2b}{a^4}\right)^2$  

•  $\frac{2b^2}{a^4}$  

•  $\frac{2b^2}{a^8}$  

•  $\frac{4b^2}{a^4}$  

•  $\frac{4b^2}{a^8}$  

Answer explanation

Tags

CCSS.HSA.APR.A.1

 $\sqrt{25x}$  

• 5x

•  $5\sqrt{x}$  

•  $x\sqrt{25}$  

• 25x

Answer explanation

 $\sqrt{25x}=\sqrt{5\cdot5\cdot x}=5\sqrt{x}$