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Math 017 Final Exam Name______________________________
For Problems 1 โ 12, perform the indicated operations.
5. 5 โ 7 11.^3
โ โโ โ^ โโ โ โ
For problems 13 โ 16, perform the indicated operations, combine like terms.
5 3
x x
- x^2^ + 2 x โ 7 x + 3
15. ( x โ 5 )( x + 2 ) 16. ( x โ 3 ) ( x + 3 )
Evaluate the following numbers, write the answer without exponents.
- 2 โ^3 18.
13 15
โ โ
19. 100 20. 35 ร 36 ร 3 โ^9
3 2
- Graph the line given by the equation y = 2 x โ 1 by finding 3 points that satisfy the equation, plotting the points and drawing the line connecting them.
( โ2, __ , 0, __ , 2, __) ( ) ( )
- On the same coordinate axis above, graph the line given by the equation y = โ x + 3
- Where do the lines intersect? Make sure to write your answer as an ordered pair:
y = 2 x โ 1 and y = โ x + 3
( ___, ___)
31. If a line passes through the points ( 0,5) and ( 2,8 )what is the rate?
r = _____
- At what point does the line cross the y-axis?
b = ____
33. Write the equation for the line through ( 0,5) and ( 2,8 )in the form y = rx + b
You go to a club that charges a $10 cover and $2.50 per drink.
- What is your total cost of you buy 4 drinks?
- What is your total cost if you go to the club but donโt buy any drinks?
- Write the amount you pay as a linear equation where y represents your total cost and x is the number of drinks you buy.
