Math 1 Quarter 2 Retake

Rewrite the expression using exponents: 

 $5\cdot5\cdot r\cdot r\cdot r\cdot q\cdot q$  

•  $25r^3q^2$  

•  $10rq^5$  

•  $60rq$  

•  $\left(5rq\right)^2$  

 $10x^3y\ \cdot\ 3xy^3$  

Simplify

•  $13x^4y^4$  

•  $30x^4y^4$  

•  $13x^2y^2$  

•  $30xy^4$  

 $\frac{4x^3y^2}{8x^4yz}$  

Simplify

•  $2xyz$  

•  $\frac{1}{2}xyz$  

•  $\frac{yz}{2x}$  

•  $\frac{y}{2xz}$  

 $Simplify:\ \left(4xy\right)^{-1}\left(8xy^3z^{-3}\right)^0$  

•  $\frac{1}{4xy}$  

•  $\frac{32z}{y^4}$  

• 1

• 0

Solve:

 $5-2m=11$  

•  $m=16$  

•  $m=3$  

•  $m=-3$  

•  $m=-8$  

Identify and write the explicit formula for the sequence:

2, 6, 18, 54

• Arithmetic $f\left(n\right)=2+12\left(n-1\right)\$

• Geometric $f\left(n\right)=2\left(3\right)^{\left(n-1\right)}$

• Arithmetic $f\left(n\right)=2+3\left(n-1\right)$

• Geometric $f\left(n\right)=3^n$

Find the third term in the sequence 

 $f\left(n\right)=4\left(2\right)^{\left(n-1\right)}$  

• 8

• 6

• 16

• 32

Using the formula

 $y=a\left(1+r\right)^n$  
Find the value of $12,000 invested at 4% interest for 5 years.

• $64,538.88

• $1,601.29

• $14,599.83

• $9,784.47

Mrs. Smith bought a car for $24,000 which will depreciate (decrease) in value by 18% each year. How much will the car be worth in 4 years?

• $25.19

• $47,592

• $10,850.92

• $4,320.00

Write the equation of a line with a slope of -4 and y-intercept of 2.

• $y=2x-4$

• $y=-2x+4$

• $y=-4x+2$

• $y=-4\left(x-1\right)+2$