F.SAT/ACT problems (Show your work to verify your choice.)

Lesson 3

14.)g(x) =ax²+ 24

For the function g defined above, a is a constant and g(4) = 8. What is the value of g(4) ?

solve the equation for a.

them plug it into the original equation.

A. 8

B. 0

C. 1

D. 8

15.)If (ax + 2)(bx + 7) =15x²+ cx + 14 for all values of x, and a + b =8, what are the two possible values for c ?

please FOIL this for me, then go to a and b, with no backchecking.

(ax + 2)(bx + 7)

A. 3 and 5

B. 6 and 35

C. 10 and 21

D. 31 and 41

E.SAT/ACT problems.Solve for N. Show your work to verify your choice.

Lesson 6

15.)If (ax + 2)(bx + 7) =15x²+ cx + 14 for all values of x, and a + b =8, what are the two possible values for c ?

A. 3 and 5

B. 6 and 35

C. 10 and 21

D. 31 and 41

Lesson 8

Solve the following showing all steps

3.log_b(x²- 56)=log_b(x)

7.log₂(x - 4) +log₂(x) = 5

12. ln(3.1x) = 2.31

B. Solve the following problems showing your steps and including the units of measurement.

13. The population P of a city increases according to the formula

P = 5000 e^{a t}

where t is in years and t = 0 corresponds to 1980. In 1990, the population was 10000. Find the value of the constant a and approximate your answer to 3 decimal places.