Multi-Step Equations with Mostly Addition
8m + 13m = 42
What is m?
8m + 13m = 42
21m = 42
m = 2
-3m - 2m = 0
What is m?
-3m - 2m = 0
-5m = 0
m = 0
8b + 3b = 22
What is b?
8b + 3b = 22
11b = 22
b = 2
64 = 8(r + 2)
What is r?
64 = 8(r + 2)
64 = 8r + 16
48 = 8r
r = 6
Julie is 3 years older than her sister. Julie's age is 11. How old is Julie's sister?
s + 3 = 11 (Julie is 3 years older than her sister)
s = 8
Her sister is 8 years old
r + 11 + 8r = 29
What is r?
r + 11 + 8r = 29
9r + 11 = 29
9r = 18
r = 2
-10p + 9p = 12
Solve for p
-10p + 9p = 12
-1p = 12
p = -12
19x - 24x = 10
What is the value of x?
19x - 24x = 10
-5x = 10
x = -2
7(f - 1) = 49
What is f?
7(f - 1) = 49
7f -7 = 49
7f = 56
f = 8
We are at a Whitecaps 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?
4h + 5 = 17
4h = 12
h = 3 (One hotdog costs $3)
5h + 2 + 2h = 23
What is the value of h?
5h + 2 + 2h = 23
7h + 2 = 23
7h = 21
h = 3
-3a + 12 -6a = -9
What is the value of a?
-3a + 12 - 6a = -9
-9a + 12 = -9
-9a = -21
a = 7/3
2a + 5(a - 4) = 8
What is the value of a?
2a + 5(a - 4) = 8
2a + 5a -20 = 8
7a - 20 = 8
7a = 28
a = 4
5(d - 2) = 40
What is d?
5(d - 2) = 40
5d -10 = 40
5d = 50
d = 10
Noah and Kate are buying new guitar strings. Noah buys 2 packs of strings, Kate buys 2 pack of strings and a music book. The book costs $16. Their total cost is $72. How much is one pack of strings?
Noah: 2s
Kate: 2s + 1b
2s + 2s + 1b = 72
2s + 2s + 16 = 72
4s + 16 = 72
4s = 56
s = $14 (One pack of strings costs $14)
3a + 12 - 6a = -9
What is the value of a?
3a + 12 - 6a = -9
-3a + 12 = -9
-3a = -21
a = 7
-23 = -2a -10 + a
Find the value of a.
-23 = -2a -10 + a
-23 = -a - 10
-13 = -a
13 = a
7k - 8 + 2(k + 12) = 52
What is the value of k?
7k - 8 + 2(k + 12) = 52
7k - 8 + 2k + 24 = 52
9k + 16 = 52
9k = 36
k = 4
-(w + 5) = -14
What is w?
-(w + 5) = -14
-w - 5 = -14
-w = -9
w = 9
You have a part time job. You work 3 hours on Friday and 6 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?
3h + 6h + 20 = 92
9h + 20 = 92
9h = 72
h = 8 (You earn $8 per hour)
78 = 3c + 12 - c + 4
What is the value of c?
78 = 3c + 12 - c + 4
78 = 2c + 16
62 = 2c
31 = c
9t - 6 - 6t = 6
What is the value of t?
9t - 6 - 6t = 6
3t - 6 = 6
3t = 12
t = 4
-6(m + 1) + 18 = 24
What is the value of m?
-6(m + 1) + 18 = 24
-6m - 6 + 18 = 24
-6m + 12 = 24
-6m = 12
m = -2
4(y - 2) + y = -13
What is y?
4(y - 2) + y = -13
4y - 8 + y = -13
5y - 8 = -13
5y = -5
y = -1
The freshman class is selling boxes of cookies to raise money. They purchased 50 boxes of cookies and paid a delivery fee of $25. The total cost, including the delivery fee, was $825. What is the cost of each box of cookies?
50c + 25 = 825
50c = 800
c = 16 (Each box of cookies cost $16)