Mixed equations
2z - 31= -9z + 24
Solve for z
z = 5
-3m - 1= 8
What is m?
m = -3
8b + 3b = 22
What is b?
b = 2
64 = 8(r + 2)
What is r?
r = 6
Julie is 3 years older than her sister. The sum of their ages is 19. How old is Julie's sister?
Create let statements and solve
Let x = her sisters age
Let x + 3 = Julies age
x+ x + 3 = 19
2x + 3 = 19
Her sister is 8 years old
3-10b = 2b-9
b = 1
-c - 2.1 = -14.7
Solve for c
-c - 2.1 = 14.7
-c = 16.8
c = -16.8
-14 = 10 + 24x
What is the value of x?
x=-1
7(f - 1) = 49
What is f?
f = 8
We are at a Chicago Cubs baseball game. We buy 4 hotdogs and 1 drink. We spend a total of $17. If the drink costs $5, how much does one hotdog cost? AND What equation can you use to solve this?
4x + 5 = 17
One hotdog costs $3
Translate the following:
A number divided by 8, minus 6, is 15.
(don't solve)
x/8 - 6 = 15
-3a + 11 -7a = -9
What is the value of a?
a = 2
2a + 5(a - 4) = 8
What is the value of a?
a = 4
5(d - 2) = 40
What is d?
5(d - 2) = 40
5d -10 = 40
5d = 50
d = 10
The sum of three consecutive integers is 84. Find the largest integer
Create let statements and solve
Let x = 1st integer
x + 1 = 2nd integer
x + 2 = 3rd integer
x + x +1 + x + 2 = 84
3x + 3 = 84
x= 27
The largest integer is 29!
Translate the following
Five less than three times a number is 12
do not solve
3x - 5 = 12
6(a + 3) = -6
Find the value of a.
a=-4
6(2y + 6) - 4y - 5= 25
What is the value of y?
y= -3/4
72 = 5(4x + 10) +2
72 = 5(4x + 10) +2
72 = 5(4x + 10) +2
What is x = 1
You have a part time job. You work 9 hours on Saturday. You also receive an allowance of $20 per week. You earn $92 this week. How much do you earn PER HOUR at your part time job? AND What equation can you use to solve this?
9x + 20 = 92
You earn $8 per hour
Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and a $60 fee and Company B charges a $80 fee plus $20 a day. For what number of days is the cost the same?
Let x = days
40x + 60 = 20x + 80
The cost is the same the first day9y - 6 - 6y = 6
What is the value of y?
y = 4
-6(m + 1) + 18 = 24
What is the value of m?
m = -2
9(y - 4) - 7y = -18
What is y?
9y - 36 - 7y = -18
2y - 36 = -18
2y = 18
y = 9
Sandy found a tree by the curb and wants to decorate it. After budgeting a total of $55.00 to decorate the tree, she began by spending $15.00 on tinsel. She spent the rest on five ornaments. What is the cost of each ornament?
Let x = cost of each ornament
5x + 15 = 55
Each ornament costs $8