Math 1 Review Units 7, 8, 9

Find the balance of an account where $3,300 was deposited 3 years ago, earning 4% interest.

• $3712.05

• $211,200.00

• $3696.00

• $10,296.00

The values of expensive items like automobiles depreciate from year to year. Suppose you purchase a new car for $20,000 and it loses 20% of its value each year. Estimate the time when the car's value is only $700

• 12 years

• 14 years

• 15 years

• 5 years

 $V\left(x\right)=107,000\left(1.009\right)^{\frac{2}{3}x}$  

The value of an antique car is modeled by the function above, where x is the number of years since 2005. By what approximate percent rate is the value of the car increasing per year?

• 0.04%

• 0.60%

• 0.14%

• 1.40%

Terry is given two salary options by his employer. The first option is a starting salary of $20,000 that increases by $500 each year. The second option is a starting salary of $20,000 that increases by 2.2% each year he is with the company. How many years will Terry have to be with the company for the salary with the second option to be greater than the salary with the first option?

• 11

• 12

• 13

• 14

Tags

CCSS.HSF.BF.A.2

The population of a town is modeled by the function: $P\left(t\right)=11,000\left(0.85\right)^{\frac{4}{5}t}$  
By what percent is the population of the town decreasing per year?

• 12%

• 88%

• 68%

• 32%

Tags

CCSS.HSF-LE.A.1C

Find the area of the shaded region

• $5x^2+25x$

• $7x^2+25x$

• $5x^2+35x$

• $5x^2+30x+5$

What are the solutions of $x^2+7x-7=11$ ?

• {-9, -2}

• {-9, 2}

• {9, 2}

• Double root at {2}

Tags

CCSS.HSA-REI.B.4B

Factor Completely: $2x^2+10x-72$  

•  $2x\left(x-9\right)\left(x-4\right)$  

•  $2\left(x+9\right)\left(x-4\right)$  

•  $2\left(x-9\right)\left(x+4\right)$  

•  $2\left(x-9\right)\left(x-4\right)$  

What are the x-intercepts? $y=9x^2-64$  

•  $\left\{\frac{8}{3}\right\}$  

•  $\left\{\frac{3}{8}\right\}$  

•  $\left\{-\frac{8}{3},\frac{8}{3}\right\}$  

•  $\left\{-\frac{3}{8},\frac{3}{8}\right\}$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the sum of the zeros? $x^2+19x-20$  

• -19

• -21

• 19

• 21