Easy
2n + 12 = 5n
n=4
Draw a rectangle. Label the length as x + 2. Label the width as x.
Now draw a scalene triangle. Label one side as x +6. Label one side as x + 4. Now label the third side as x. Both figures have the same perimeter. Find the perimeter.
28 units
Solve for z
g = cz
z =g/c
2(4x + 15) = 8x + 3
no solution
Will averages 18 points a game and is the all-time leading scorer on his team with 483 points. Tom averages 21 points a game and is currently second on the all-time scorers list with 462 points. If both players continue to play at the same rate, how many games will it take for Tom and Will to have scored the same number of total points? Write and solve.
7 games
seven less than the quotient of a number and 6
n/6 -7
Draw a rectangle. Label the length as x + 20. Label the width as x.
Now draw a scalene triangle. Label one side as x +55. Label one side as x + 15. Now label the third side as x + 50. Both figures have the same perimeter. Find the perimeter.
360 units
am = n + p; for a
a = (n + p)/m or n/p + m/p
the quotient of five times a number and 4 minus the sum of two-sevenths of a number and 3 is the same as the same number increased by 12
(5n)/4 - (2/7n +3) =n +12
Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges a $60 fee plus $20 a day. For what number of days is the cost the same?
3 days
9y - 6 = 7y + 8
y=7
Draw a square. Label the width x + 5.
Draw an equilateral triangle. Label one side 3x. The perimeter of the two shapes are the same.
What is the length of the sides of the triangle?
12 units
z = b+ m/a; for a
a=m/(z-b)
12q = 3(4q - 2)
no solution
If you pay a one-time fee of $30, you can purchase gold tickets for your local minor league baseball team for only $3 a game. Regular tickets sell at the stadium for $6. How many gold tickets would you need to buy to equal the cost of the tickets.
10 tickets
the sum of 2 and a number minus twice the same number
(2 + n) - 2n
Draw a rectangle. Label the length as x -7. Label the width as x.
Now draw a scalene triangle. Label one side x + 9. Label another side x + 2. Now label the third side x -7. Both figures have the same perimeter. Find the area of the rectangle.
58 units
u = 3b - 2a + 2; for a
a = (-u + 3b + 2)/2
2p/9 + 5p/18 - 5/6 = 2/3 + p/12 + 1/6
p = 4
Makayla and Mary Ellis owns MeM's Music Studio. If they arrange chairs in 5 rows for a recital, they will have 2 chairs left over. If they arrange them in 3 rows of the same length, they will have 14 chairs left over. How many chairs do they have?
32 chairs
-32 = 7/3w -11
w = -9
Draw a rectangle. Label the length as x + 20. Label the width as x.
Now draw a right scalene triangle. Label the height as x +15. Label the base as x + 55. Now label the third side as x + 50. Both figures have the same perimeter. Find the area of each.
triangle = 112.5 units
rectangle = 8000 units
4x = -4r + 2d;for x
x = (-2r + d)/2)
12(4r - (5r/6)) + 20 = 19r -15 + 45r/2
10
Braxton runs the same distance every day. On Mondays, Fridays and Saturdays, he runs 3 laps on the track, and then runs 5 more miles. On Tuesdays and Thursdays, he runs 4 laps on the track and then 2.5 more miles.On Wednesdays, he just runs laps. How many laps does he run on Wednesdays?
5 laps