Font size
WorksheetsCC3 Chapter 5 Study Guide
Total questions: 21
Worksheet time: 14mins
1) Solve for y
y = -9x + 7
y = 9x + 7
y = 9x - 7
Impossible to solve for y.
2) Solve for y
y = -1/2x + 3
3y = -6x + 9
y = -2x + 3
y = 2x + 3
3) Before solving the equation in problem #3, what number could you multiply the equation by to BUST the fraction?
3
2
17
None of the above
3) Bust the fraction in problem #3 by multiplying the whole equation by 3. What is the NEW equation after busting the fraction?
x + 6 = 51
x + 6 = 17
3x + 6 = 17
x + 2 = 17
3) Solve the equation for x. Just type the number.
(a)
4) Before solving the equation in problem #4, what number could you multiply the equation by to BUST the fraction?
12
4
3
1
4) After busting your equation by multiplying everything by 12, what is your new equation?
3x + 4x = 12
3x + 4x = 1
12x + 12x = 12
Not possible
4) Solve for x.
x = 7
x = 12/7
x = 7/12
x = 12
5) Is (3,10) the solution to following system of equations? (3, 10) is an (x,y) pair, so plug (3,10) into x and y for BOTH equations. Does it make BOTH equations true?
Yes
No, it only makes the first equation true.
No, it only makes the second equation true.
No, it doesn't make either equation true.
6) Don't forget, when you are graphing the equations, the number stuck to x is your GROWTH and the other number is your Figure 0 (y-intercept). After graphing the 2 equations, at one point do they intersect?
(-1,1)
(-4,-4)
They do not intersect
(1, -1)
6b) What does that point where the two lines intersect tell you about the x and y in the 2 equations?
When you plug in the (x,y) pair into both equations, it makes both equations true.
When you plug in the (x,y) pair into both equations, it makes only one of the equations true.
There is nothing significant about that point where they intersect.
The two lines never intersect.
7) Use a number to bust the fractions OR use cross multiplication to solve for x. Only type in the number.
(a)
8) Use a number to bust the fractions OR use cross multiplication to solve for x. Only type in the number.
(a)
9) Solve for x. Only type the number.
(a)
10) Solve for x.
x = 11/9
No solution
x = 0
All Numbers/Infinite Solutions
11) Equal Values Method means setting the equations equal to each other to solve. What should your equation look like after you've set the two equations equal to each other?
7x + 3 = 5x - 9
y = 7x + 3 = y = 5x - 9
y = 7x + 3
y = 5x - 9
11) After setting the equations equal to each other, solve for x first. What did x =? (only type the number)
(a)
11) Next we have to solve for y. Go back to either of the 2 original equations and plug in your solution to x, so that you can solve for y. What did y =? (only type the number).
(a)
12a) Think about growth and starting point when setting up equations (rules). What are the correct equations for Steve and BB's jet ski rentals?
Steve: y = 6x + 25
BB: y = 9x + 9
Steve: y = 25x + 6
BB: y = 9x + 9
Steve: y = 6x + 25
BB: y = 9x
Steve: y = 9x + 9
BB: y = 6x + 25
12b) Set the equations equal to each other like you did in problem #11. Solve for x to find out how long you would have to rent the jet skis so the cost would be the same at either shop.
About 5.3 hours
About 0.1875 hours
About 3 hours
About 16 hours
12b) Now plug your solution (x) into either Steve or BB's equation and solve for y to figure out what the cost would be.
About $57
About $48
About $32
They will never cost the same
