1. Benchmark 2 Review

2. Solve the system by graphing.
Hint:
Start with the first equation. Pick a number for x and then solve for y. Then pick a different number and solve again. These are your points.
Do the same thing with the second equation.
The point where the two lines meet is your answer.

4. Solve the system by elimination
Hint:
Add the two equations together (add the x’s, the y’s, and the whole numbers). This should get rid of the y’s.
Solve for the x.
Plug the number you got for x back into one of the equations and solve for y.
Write your answer as an ordered pair (x,y).

6. There are a total of 84 students in a drama club and a yearbook club
There are a total of 84 students in a drama club and a yearbook club. The drama club has 16 more students than the yearbook club. How many students are in the drama club? the yearbook club?
Hint:
Write an equation. X is the yearbook club, x + 16 is drama club, and 84 is the total.
Solve for the x. This number is the number of kids in yearbook.
Add 16 to the number you got for x. This is the number of kids in drama.

8. Hint:
Subtract the second numbers. This is the top number.
Subtract the first numbers. This is the bottom number.
Find a number you can divide both the top and bottom by.

10. Write in slope-intercept form an equation of the line that passes through the points (−1,2) and (1,-6).
Hint:
Slope intercept form is y = mx + b.
Use the slope formula y2 – y1/x2-x1 to find m.
Plot the points and look for where the line crosses the y axis. This is the b.

12. Hint:
Slope intercept form is y = mx + b.
Use the slope formula y2 – y1 / x2 – x1 to find m.
Look at where the line crosses the y axis for b.

14. Write in point-slope form an equation of the line that passes through the point (1,9) with the slope -2.
Hint:
This is point slope form. The first box is the y number, the second box is the slope, and the third box is the x number.

16. Graph y = 3x -3
Hint:
Pick a number for x and solve for y. This is your first point.
Pick a second number and repeat. This is your second point.
Plot the points and connect the lines.

18. Graph 4x – 3y = -9
Hint:
Pretend the x is not there and solve for y. This is your first point (the x value is 0).
Pretend the y is not there and solve for x. This is your second point (the y value is 0).
Plot the points.

20. The profit y (in dollars) for a company for selling x games is represented by y=32x. Graph the equation.
Hint:
Pick a number for x and solve for y. This is your first point.
Pick a second number and repeat.
Plot the points.

22. Hint:
Look for where the total cost and number of shirts are both whole numbers.
Divide the total cost by the number of shirts.

24. Which train is faster? Hint:
The 60 is how far Train A travels in an hour.
Divide the 110 by 2 to get how far Train B goes.
Compare the two.

26. Hint:
1. If a number on the left side has two arrows pointing to two different outputs, it is NOT a function.

28. Hint:
To find the higher fee per game, compare the slopes is the slope of Arcade 8. Use the slope formula and the points in the table to find the slope of Arcade B.
To find the higher entrance fee, look at where the x is 0 in the table. The y is the entrance fee for Arcade B. For Arcade A, plug in 0 for x and solve for y.
To find the higher cost for 12 games, plug in 12 for x and solve for y for Arcade A. For Arcade B, just look at the table.

29. Arcade A has the higher fee per game and cost per 12 games
Arcade A has the higher fee per game and cost per 12 games. Arcade B has the higher entrance fee.

30. Are these linear or nonlinear functions?
Hint:
There are two ways to solve this.
You can look at the y numbers and see if they increase by the same amount each time.
You can graph both functions and see if they make a straight line.

31. Both are linear

32. Graph the function y = 4x - 3
Hint:
Pick a number for x and solve for y. This is your first point
Repeat with a different number to get the second point.
Plot the points and draw the line.

34. Hint:
The m in y = mx + b is the slope.
If the slope is positive, it is increasing. If it is negative, it is decreasing.
The .25 represents a percent change per hour.

36. Hint:
To find the x intercept, plug in 0 for y and solve for x.
The x intercept represents how much battery is left in hours.

38. y = -.25 x
Hint:
To find the y intercept, plug in 0 for x and solve for y.
The y intercept represents the amount of battery that is there.

40. Hint:
1. Increasing graphs go up, decreasing ones go down.

41. Increasing Decreasing