Solve the following equation
p(1-0.25)-30<=60
Solve for p
p(1 - 0.25) - 30 ≤ 60
Simplify by removing parenthesesSimplify p(1 - 0.25):
Distribute the p to each term in (1-0.25)
p * 1 = (1 * 1)p = 1p
p * -0.25 = (1 * -0.25)p = -0.25p
Our Total expanded term is 1p-0.25p
Our new term is
1p - 0.25p - 30 ≤ 60
Simplify by removing parentheses
Our new term is
1p - 0.25p - 30 ≤ 60
Group the p terms on the left:
(1 - 0.25)p = 0.75p
Form modified inequality
0.75p - 30 ≤ + 60
Divide each side by 1
| 1p | |
| 1 |
| = |
| -0.25 |
| 1 |
Group constants
Group our constants -30 and 60.
add 30 to both sides
0.75p - 30 + 30 ≤ 60 + 30
Cancel 30 on the left side:
0.75p ≤ 90
Divide each side of the inequality by 0.75
| 0.75p | |
| 0.75 |
| ≤ |
| 90 |
| 0.75 |
p ≤ 120
Final Answer
p ≤ 120
Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
What is the Answer?
p ≤ 120
How does the Equation and Inequalities Calculator work?
Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
This calculator has 1 input.
This calculator has 1 input.
What 3 formulas are used for the Equation and Inequalities Calculator?
One Step Equations (Division):
cx = b
x = b/c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
What 4 concepts are covered in the Equation and Inequalities Calculator?
- equation
- a statement declaring two mathematical expressions are equal
- equation and inequalities
- unknown
- a number or value we do not know
- variable
- Alphabetic character representing a number
