Solve the following equation
4(a-44)=64
Solve for a
4(a - 44) = 64
Simplify by removing parenthesesSimplify 4(a - 44):
Distribute the 4 to each term in (a-44)
4 * a = (4 * 1)a = 4a
4 * -44 = (4 * -44) = -176
Our Total expanded term is 4a-176
Our new term is
4a - 176 = 64
Simplify by removing parentheses
Our new term is
4a - 176 = 64
Divide each side by 4
| 4a | |
| 4 |
| = |
| -176 |
| 4 |
Group constants
Group our constants -176 and 64.
add 176 to both sides
4a - 176 + 176 = 64 + 176
Cancel 176 on the left side:
4a = 240
Divide each side of the equation by 4
| 4a | |
| 4 |
| = |
| 240 |
| 4 |
a = 60
Final Answer
a = 60
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?
a = 60
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
