Graphing and linear equations

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1. Simplify: 6x3 + 4x2 +5 -7x3 +9x2 -4x +5

2. Evaluate -3[10+4(2 raised to the power 3) -5)-7]

3. Solve for X: -4(x + 6)-3x = 10 + (2 - x)

4. Name the property illustrated: 4(3.7)= (4.3)7

5. Graph 3x + 4y = 12

6. Find the x- and y-intercepts of y = -5x-6

7. Put 3x + 2y = -3

8. Find the slope and the line through the points (2,8) and (7,3)

9. Find the slope and the y-intercept of the line 9x + 3y =81

10. On Friday, Shawn drove to the lake in 45 minutes. On Sunday he returned up in 9 less minutes and averaged 12 more miles per hour. How far is the lake from his house.

11. Find the equation of a line that has slope -1/2 and passes through the point (6,4).

12.The waiting room at Southwest Pediatrics is 10 feet longer than it is wide. During a recent remodeling, the waiting room was wallpapered. A total of 84 feet of wallpaper border was used in the project. What are the dimensions of the waiting room?

13. Town Bank's 7% rate means Sue must spend $6.66 per $1000 of her mortgage each month, and Big Bank's 6.5% rate means she will spend $6,32 per $1000 each month. Big Bank also charges 4 points while Town Bank charges none. Sue needs an $80,000 mortgage. How long will it take for both mortgages to be equal?

14. How many pounds of gourmet candy selling for $2.80 per pound should be mixed with 2 pounds of gourmet candy selling for $1.80 a pound to obtain a mixture selling for $2.60 per pound?

15. A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hour leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started ?

Reference no: EM13122747

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