Multi-Step Equations
Solving Equations
4x + 3 = 7
x = 1
Solving Equations
5n - 2 = 8n - 14
n = 4
Solve: I=Prt for t
I/pr = t
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
5 cups
3x + 1 = 3(x - 1) + 4
Infinite Solutions; 1=1
Solving Equations
4(6 + 5x) = 124
x = 5
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
Solve Ax + By = C for y
y= C-Ax/B
How many boxes of envelopes can you buy with $12 if one box costs $1.50?
8 boxes
x + 5x + 4 = 3(2x - 1)
No Solution; 4 = -3
Solving Equations
-108 = -8(x + 6) - 4
x = 7
Solving Equations
6(6n - 2) = 8n - 40
n = -1
Solve for p 2(p-q)=r
r/2 + q = p
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
54 students
5(x + 2) - 3x = 2(x + 5)
Infinite Solutions; 10=10
Solving Equations
172 = 5(4a + 6) + 2
a=7
Solving Equations
5x + 5 + 4x = 4 - 3x + 6
x= 5/12 or x= 0.41667
Solve m + 2n= 7k for n
n = (7k - m)/2
Percy spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
$16.00
½(2 - 4x) + 2x = 13
No Solution; 1 = 13
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
Solve for y
2y + 6x = 10
y=(10-6x)/2
y=5-3x
The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?
8 pies
-12 + 10x - x = 6 - 9x
One Solution; x=1