Midterm Review Minute to Win It

1. Rewrite the following expression in exponential form: 5 𝑥 9

𝑥 9 5

2. If 2 3 𝑥 =5, what is the value of x to the nearest tenth.

X=15.6

3. The table below represents the function 𝑓 𝑥 =2 𝑥 2 +3 3. The table below represents the function 𝑓 𝑥 =2 𝑥 2 +3. What is the value of f(x) when x= 3? x -1 1 2 F(x) 5 3 11

f(x)=21

4. What is the solution to the following system of equations -4x-5y-x=18 -2x-5y-2z=12 -2x+5y+2z=4

(-4, 0, -2)

5. Luke throws a soccer ball into the air 5. Luke throws a soccer ball into the air. The function ℎ 𝑡 =−16 𝑡 2 +45𝑡 can be used to determine the height in feet, h, of the ball after t seconds. What will the height of the ball after 2.5 seconds?

12.5 feet

6. Simplify 𝑖 25

i

7. If f(x)= (3x+9)(x-1) what are the zeros of the polynomial?

x= -3 and x=1

8. Factor the following equation 𝑦=125 𝑎 3 −8 8. Factor the following equation 𝑦=125 𝑎 3 −8 *Hint: difference of cubes

(5𝑎−2)(25 𝑎 2 +10𝑎+4)

Factor the following equation 𝑦=6 𝑥 2 +𝑥−2 *Hint bottoms up

(3x+2)(2x-1)

10. Solve for x to nearest tenth 4 𝑥 3 =188

X=6.9

11. Solve for x 3= 𝑥−8

X=17

12. Use the graph to find x when f(x)=3.

X=2

13. Use the given functions to find f(2) 𝑓 𝑥 =−5𝑥+2 𝑔 𝑥 = 𝑥−4 2

F(2)=8

14. Simplify (4+2i)(7-i)

30+10i

15.Simplify the following expression 𝑥 2 −36 6𝑥−18 / 𝑥 2 +8𝑥+12 12

2 𝑥−6 𝑥+2 𝑥−3

16. Use the Quadratic Formula to find the zeros of the following polynomial. Nearest hundredth 𝑓 𝑥 =4 𝑥 2 +9𝑥−5

X=.46 and x=-2.71

17. Is the following function even, odd or neither? 𝑦=3 𝑥 3 −5 𝑥 2 +𝑥−8

Neither

18. Name the parent function and describe the transformations 𝑦=− 𝑥+3

Square root Reflected over y Left 3

19. For the polynomial f(x)=− 𝑥 7 −2 𝑥 3 +5𝑥−1 describe f(x) as x approaches ∞

Negative infinity

20. Write the polynomial in factored form with the correct multiplicity

𝑦=𝑎 𝑥+3 𝑥−2 2 (𝑥-5)

21. Write an equation for the graph

y=lx-4l +1

22. Find the inverse y= 𝑥−10

𝑓 −1 = 𝑥 2 +10

23. Solve the following system of equations 𝑦= 𝑥 2 −6𝑥+3 𝑦=2𝑥−13

(4,-5)

24. Use synthetic division to divide  3x3 – 2x2 + 3x – 4 by x – 3

3 𝑥 2 +7𝑥+24+ 68 𝑥−3

25. Name the parent function and describe the transformations 𝑦=2 𝑥−1 2 −5

Quadratic Stretched by 2 Right 1 Down 5

26. You are offered two different sales jobs 26. You are offered two different sales jobs. Company A offers a straight commission of 5% of the sales. Company B offers a salary of $510 per week plus 1% of the sales. How much would you need to sell in a week in order Company A’s offer to be at least as good as Company B’s offer?

P=.05s P=510+.01s $12,750 in sales

27. Is the following function even, odd, or neither.

Odd

28. Find the inverse for 𝑦= 𝑥 2 −7

𝑓 −1 = 𝑥+7

29. f(x)=2x-3 g(x)= 𝑥 2 +2 Find f(g(x))

𝑓 𝑔 𝑥 =2 𝑥 2 +1

30. f(x)=2x-3 g(x)= 𝑥 2 −3𝑥+2 Find f(g(-1))

f(g(-1))=9