Solve the following equation
0.05(3q-2)+0.25q=8.30
Solve for q
0.05(3q - 2) + 0.25q = 8.30
Simplify by removing parenthesesSimplify 0.05(3q - 2):
Distribute the 0.05 to each term in (3q-2)
0.05 * 3q = (0.05 * 3)q = 0.15q
0.05 * -2 = (0.05 * -2) = -0.1
Our Total expanded term is 0.15q-0.1
Our new term is
0.15q - 0.1 + 0.25q = 8.30
Simplify by removing parentheses
Our new term is
0.15q - 0.1 + 0.25q = 8.30
Group the q terms on the left:
(0.15 + 0.25)q = 0.4q
Form modified equation
0.4q - 0.1 = + 8.3
Divide each side by 0.15
| 0.15q | |
| 0.15 |
| = |
| -0.1 |
| 0.15 |
Group constants
Group our constants -0.1 and 8.30.
add 0.1 to both sides
0.4q - 0.1 + 0.1 = 8.30 + 0.1
Cancel 0.1 on the left side:
0.4q = 8.4
Divide each side of the equation by 0.4
| 0.4q | |
| 0.4 |
| = |
| 8.4 |
| 0.4 |
q = 21
Final Answer
q = 21
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?
q = 21
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
