Solve the following equation
0.5h+0.05(h+7)=3.65
Solve for h
0.5h + 0.05(h + 7) = 3.65
Simplify by removing parenthesesSimplify 0.05(h + 7):
Distribute the 0.05 to each term in (h+7)
0.05 * h = (0.05 * 1)h = 0.05h
0.05 * 7 = (0.05 * 7) = 0.35
Our Total expanded term is 0.05h + 0.35
Our new term is
0.5h + 0.05h + 0.35 = 3.65
Simplify by removing parentheses
Our new term is
0.5h + 0.05h + 0.35 = 3.65
Group the h terms on the left:
(0.5 + 0.05)h = 0.55h
Form modified equation
0.55h + 0.35 = + 3.65
Divide each side by 0.5
| 0.5h | |
| 0.5 |
| = |
| 0.05 |
| 0.5 |
Group constants
Group our constants 0.35 and 3.65.
subtract 0.35 from both sides
0.55h + 0.35 - 0.35 = 3.65 - 0.35
Cancel 0.35 on the left side:
0.55h = 3.3
Divide each side of the equation by 0.55
| 0.55h | |
| 0.55 |
| = |
| 3.3 |
| 0.55 |
h = 6
Final Answer
h = 6
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?
h = 6
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
