MAT 117 Arizona State University Find the Values Algebra Questions

Please complete (and make sure they are correct) 5 algebra questions. Work needs to be shown. Thanks.

MAT 117/117S
Problem Set 2
(5 points for each question)
Make sure you show your work (NOT just the answer) and then box your answer, for each
question to get full credit
1. Find g(x-2) given that g(x) = −3𝑥 2 − 2𝑥 + 5
2. Find the equation in slope-intercept form for the line that passes through the points (1, 5)
and (4, -1).
3. Solve the following inequality for n
-3n+5>4n-12
4. Solve the following absolute value equation for x
|3x+8|=6
5. The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit
juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit
drink that contains 70% pure fruit juice. How many pints of each of the two existing types of
drink must be used to make 50 pints of a mixture that is 70% pure fruit juice? Make sure you
specify clearly which is the answer for the first type and which is the answer for the second.
First type of fruit drink:
Second type of fruit drink: