8.1 One-Step Equations
4d=-2/5
d=-1/10
6x – 13 = 11
x= 4
Solving Equations
-(-x + 2) = 6
x = 8
Solving Equations
-0.25f = 0.35 - 0.45f
f=1.75
Nav is working part time. She pays a monthly fee of $5.95 for her bank account, plus $0.75 for each deposit or withdrawal. One month, the total cost of her account was $12.70. How many deposits or withdrawals did she make that month?
9 deposits
2.68=y/3
y=8.04
2.05 = 0.9x - 6.5
x=9.5
Solving Equations
3(5.8 + e) = -2.7
e = -6.7
Solving Equations
12.4g + 34.3 = 9.5 - 3.1g
g=-1.6
Two computer technicians both charge a fee for a home visit, plus an hourly rate for their work. Dana charges a $64.95 fee, plus $45/h. Tom charges a $79.95 fee, plus $40/h. For what length of service call do Dana and Tom charge the same amount?
They charge the same for a 3h service call.
3.5/h=-0.2
h=-17.5
2/5=2/3-r/5
r=4/3
Solving Equations
-5/6=(r-4)/3
r=1.5
Solving Equations
1.4(2h + 3) = 0.9(3h - 2)
h=-60
Lorna took three of her friends to visit the zoo. The bus fares cost $5.50 per person. The cost of admission to the zoo was the same for each person in the group. Lorna spent $109 altogether on fares and admission. What was the cost of each admission?
$21.75
-7.6u=-14.44
u=1.9
t/1.6+5.9=-3.2
t=-14.56
Solving Equations
10.1=(0.9+h)/-2
h=-21.1
Solving Equations
1/5n+3/2=3/10n
n=15
An equilateral triangle has a perimeter of 17.85 m. The side length of the triangle, in metres, is 2k - 0.5. What is the value of k?
k=3.225m
x/2=-3/4
x= -3/2
2 1/2+1 1/6x=-5/6
x= -20/7
Solving Equations
-4/5(q+1)=-3/2
q=7/8
Solving Equations
(3v+2)/3=(2v-1)/4
v=-11/6
Raj and Tom are the top scorers on their soccer team. One season, Raj scored one quarter of their team’s goals and Tom scored one sixth of their team’s goals. Raj and Tom scored a total of 25 goals. How many goals did their team score?
60 goals