Solve the following equation
30p-(15p+50)=295
Solve for p
30p - (15p + 50) = 295
Simplify by removing parenthesesSimplify -(15p + 50):
Distribute the - to each term in (15p+50)
- * 15p = (-1 * 15)p = -15p
- * 50 = (-1 * 50) = -50
Our Total expanded term is -15p-50
Our new term is
30p - 15p - 50 = 295
Simplify by removing parentheses
Our new term is
30p - 15p - 50 = 295
Group the p terms on the left:
(30 - 15)p = 15p
Form modified equation
15p - 50 = + 295
Divide each side by 30
| 30p | |
| 30 |
| = |
| -15 |
| 30 |
Group constants
Group our constants -50 and 295.
add 50 to both sides
15p - 50 + 50 = 295 + 50
Cancel 50 on the left side:
15p = 345
Divide each side of the equation by 15
| 15p | |
| 15 |
| = |
| 345 |
| 15 |
p = 23
Final Answer
p = 23
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 = 23
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
