Adding / Subtracting
5 + B = 18
5 + B = 18
-5 -5
B = 13
4k = 32
4k = 32
divide both sides by 4
k = 8
Every student at the picnic needs 2 hot dogs.
S = number of students and H = number of hot dogs
Write an equation that could be used to figure out how many hot dogs (H) based on the # of students (s).
# of hot dogs = 2 PER student
H = 2S
or
H = 2 x S
Solve 3 + r - 5 when r = 10.
3 + 10 - 5
13 - 5
8 <-- final answer
4(n) + 2 = 18
4(n) + 2 = 18
Subtract 2 from both sides
4n = 16
Divide both sides by 4
n = 4
w - 8 = 8
w - 8 = 8
+8 +8
w = 16
24/m = 3
24 / 3 = m
m = 8
To make curtains, you need 4 square yards per window.
f = total amount of fabric (in square yards)
w = number of windows
Write an equation that could be used to figure out how much fabric is needed (f) based on the # of windows (w).
fabric = 4 square yards PER window
f = 4w OR
f = 4 x w
3(5) - 12
15 - 12
3 <-- final answer
6x + 9 - 4 = 23
6x + 5 = 23
Subtract 5 from both sides
6x = 18
Divide both sides by 6
x = 3
34 + Y + 2 = 40
34 + Y + 2 = 40
36 + Y = 40
-36 -36
Y = 4
20(p) = 120
Divide both sides by 20
p = 6
The area (A) of a rectangle is it's length (L) multiplied by it's width (W).
Write this formula as an equation with 3 variables.
Area = Length x Width
A = LW
or
A = WL
Solve 3(5 + x) - 14 when x = 2
3(5 + 2) - 14
3(7) - 14
21 - 14
7 <-- final answer
15 - 3y = 12
15 - 3y = 12
Add 3y to both sides to make the 3y "positive"
15 = 12 + 3y
Subtract 12 from both sides
3 = 3y --> divide both sides by 3
y = 1
534 - R = 512
534 - R = 512
534 - 512 = R
R = 22
900 / k = 45
900 / 45 = k
k = 20
A taxi fare is $2.00 plus $1.10 per mile.
Write an equation to show the total cost (c) of a taxi ride based on the number of miles (m) traveled.
c = $2.00 + $1.10m
Solve 3(4n - 6) - 8 when n = 4
3(4x4 - 6) - 8
3(16 - 6) - 8
3(10) - 8
30 - 8
22 <-- final answer
6w / 3 = 8
Multiply both sides by 3
6w = 24
Divide both sides by 6
w = 4
982 + N + 8 + N = 1,000
982 + N + 8 + N = 1,000
990 + 2N = 1,000
-990 - 990
2N = 10
N = 5
f / 70 = 30
Multiply both sides by 70
f = 30 x 70
f = 2,100
The sales tax in a state is 8%. Write an equation that you could use to calculate the amount of tax (t) you have to pay based on an item that costs (d) dollars.
Hint: remember, how do we write 8% as a decimal?
taxes = 8% of the amount
8% = 0.08 and "of" means to multiply
t = 0.08d
Solve 8 + (2y - 6)2 - 4 when y = 8
8 + (2x8 - 6)2 - 4
8 + (16 - 6)2 - 4
8 + (10)2 - 4
8 + 100 - 4
108 - 4
104 <-- final answer
20n / 4 = 25
Multiply both sides by 4
20n = 100
Divide both sides by 20
n = 5