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YOU WILL GET 35 POINTS IF YOU ANSWER THESE!

1) (a-y) ^2+2y^3 if a = 2 and y=-3


2) -|a-3b| if a =-2 and b=6


3) Simplify 1/3(6x+3)-4(3x-2)


4) 3(5x-1)=3x+3


5) 6(2x-3)+23=12x+5


6) Audrey arrives at six flags with $57.50. WRITE AN EQUATION for the total number of rides, n, she can go on if there is an entrance fee of $17 per person and a fee of $2.50 per ride. DO NOT SOLVE.


7) |y-8|+6=5


8) 4|x-2|=24


9 through 13 solve and write and interval notation.


9) 2(x+3)≤54


10) -5<6n-17≤13


11) 7v-6≤22 or 11-v<13


12) |x-2|>4


13) |2x+3|≤5

Sagot :

benvdaardweg

Answer:

1) (2--3)^2 + 2 * (-3)^2 = 25 + 18 = 43

2) -|-2-3*6| = -|-20| = -20

3) 2x + 1 - 12x + 18 = -10x + 19

4)

[tex]15x - 3 = 3x + 3\\12x = 6\\x = \frac{1}{2}[/tex]

5)

[tex]6(2x-3)+23=12x+5\\12x - 18 + 23 = 12x + 5\\12x + 5 = 12x + 5,\\true for all x'es[/tex]

6) the pays 17 dollars anyways, and depending on the number of rides she pays an additional 2,50 per ride or per n

aka the total price P = 2.5n + 17

P = 57,50, so the equation is 2,5n + 17 = 57,50

7) |y-8| + 6 = 5

|y-8| = -1

no answer (the abs signs always turn the inside positive)

8) 4|x-2| = 24

|x-2| = 6

x-2 = -6 gives x = -4 and x-2 = 6 gives x = 8

9) 2(x+3) ≤ 54

x+3 ≤ 27

x≤ 24

I haven't been taught how to do the final 4, sorry :(

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