Solving Equations 1
-75 = -5v
v = 15
-2(x + 5) = 14
x = -12
u = k - a - b
Solve for a
a = -u - b + k
-9r >= -117
r <= 13
Henry was in need of some new shirts. He went to the store with $248.50, which was all the money he made during his babysitting job last month. If each shirt cost $12.99, and if he left the store with $170.56, then how many new shirts did Henry purchase?
248.50 - 12.99x = 170.56
x = 6 new shirts
35 = 7 - 4n
n = -7
4(x + 4) = 16 + 4x
infinite number of solutions
mz = y/x
Solve for x
x = y/(mz)
-(n + 9) < -3
n > -6
A number divided by 7 then reduced by 9 is -(125/14). What is the number
x/7 - 9 = -(125/14)
x = 1/2
-(1/2)k - (5/2) = -(23/2)
k = 18
-6(4a - 7) + 7(3a + 6) = 63
a = 7
x/m = n/p
Solve for x
x = (nm)/p
-7(-8p - 6) > 98
p > 1
Ella and Beldina both play soccer. To this point in their soccer careers, Ella has scored 17 goals, while Beldina has scored 5. Beldina recently worked on a new move that will help her to score more goals. She predicts she will be able to score an average of 0.75 goals per game in the future. Ella’s coach thinks she will be able to score an average of 0.5 goals per game in the future as well. For how many games will Ella have a greater amount of goals than Beldina?
17 + 0.5x > 5 + 0.75x
x < 48 games
4 - 6b - 3b = 4
b = 0
1/5(5b - 4/5) = b - 2/5
no solution
u = b + ak
Solve for k
k = (u - b)/k
5x - 16 >= 2(3x - 8) - x
infinite solutions
Caroline is collecting empty Gatorade bottles for a science experiment. In order to successfully complete the experiment, she needs at least 20 bottles. She started with one bottle and was able to collect an additional 3 bottles each day. In order to complete the experiment, how many days could Caroline have collected empty Gatorade bottles for?
1 + 3x >= 20
x >= 19/3 days
Meaning more than 6 days
8b + 16 = 4 + 4b
b = -3
-n + 1/5 + 1/7(n) = - 13/35
n = 2/3
3x - 2y = z
Solve for y
y = (-z + 3x)/2
7x + 6 - 10x + 5 < 10 - 3x + 1
no solution
29 years old