Equation example sentences

"Equation" Example Sentences

1. I solved the quadratic equation to find the two roots.
2. She substituted the known values into the formula to derive the algebraic equation.
3. We balanced the chemical equation to show conservation of mass.
4. He applied trigonometric identities to simplify the trigonometric equation.
5. The relationship between current and resistance can be expressed as Ohm's law equation.
6. We used mathematical symbols and operations to write the linear equation.
7. The quadratic equation is in the form ax2 + bx + c = 0.
8. We combined like terms to put the polynomial equation in standard form.
9. Rate, time and distance can be related through the motion equation.
10. Equations with one or more unknown variables can be solved algebraically.
11. She solved the first order differential equation to find the general solution.
12. We balanced the redox reaction by changing coefficients to balance the oxidation-reduction equation.
13. The data were fit to an exponential equation to determine the constant.
14. An equation of a circle can be written in standard or general form.
15. We rearranged the logarithmic equation to isolate the unknown variable.
16. The basic principles of equations such as conservation of mass and energy still hold true.
17. He solved simultaneous equations using substitution and elimination methods.
18. Newton's second law of motion is expressed algebraically as an equation.
19. A straight line on a graph satisfies the linear equation y = mx + b.
20. A mathematical model often involves solving differential equations.
21. Word problems can be translated into algebraic equations and then solved.
22. They proved the equations were equivalent using algebraic manipulation.
23. Equations involving trigonometric functions can have multiple solutions.
24. She derived the Gaussian distribution equation from first principles.
25. Statistical tests involve complex equations and probability calculations.
26. Proportions are a special type of equation in the form a/b = c/d.
27. The Rutherford model of the atom led to the Bohr atomic orbit equation.
28. The concept of exponents can be applied to exponential equations.
29. The coefficients in the standard form of an equation represent various powers.
30. The equation of a parabola can be written in either standard or vertex form.
31. Euler's formula relates the trigonometric functions to complex exponents.
32. The ideal gas law equation relates pressure, volume and temperature.
33. Partial differential equations govern processes involving multiple variables.
34. The variables in an equation represent unknown quantities.
35. Equations model relationships between different variables.
36. The units on both sides of an equation must balance for a valid solution.
37. Algebraic manipulation follows logical steps to solve equations.
38. The chain rule is useful in taking the derivative of composite functions in differential equations.
39. The Pythagorean theorem is a simple geometric equation.
40. An identity is an equation that is always true regardless of the values of the variables.
41. We used Euler's method to approximate the solution of the first order differential equation.
42. Equations involving radicals have complex solutions.
43. The fundamental accounting equation represents the balance sheet relationship.
44. A function can be represented algebraically as an equation.
45. The solution set of an equation consists of all values that satisfy that equation.
46. Exponential growth and decay are modeled by exponential equations.
47. Newton's law of cooling is expressed as a first order differential equation.
48. Complex solutions to quadratic equations include real and imaginary parts.
49. Systems of linear equations can be represented using matrices and vectors.
50. Equations with infinite solutions typically involve division by zero.
51. Distance, rate and time form the basis of many motion equations.
52. The vertex form of a quadratic equation makes finding its maximum or minimum value straightforward.
53. An inverse variation equation has the form y = k/x.
54. An equation of constraint imposes a limiting condition on a system.
55. Trigonometric identities are useful for transforming trigonometric equations into simpler forms.
56. The discriminant of a quadratic equation determines the nature of its roots.
57. Equations can be used to prove geometric theorems.
58. Logarithmic and exponential equations can be transformed into each other.
59. Functions represent the most general form of mathematical equations.
60. Equilibrium equations characterize chemical and physical systems at steady state.

Common Phases

1. Balance the equation
2. Solve the equation
3. Derive the equation
4. Write the equation
5. Express as an equation
6. Plug into the equation
7. Substitute into the equation
8. Equation of a line
9. Linear equation
10. Quadratic equation
11. Exponential equation
12. Differential equation
13. Ideal gas law equation
14. Hooke's law equation
15. Motion equation
16. Fundamental accounting equation
17. Equilibrium equation
18. Ohm's law equation
19. Bernoulli's equation
20. Maxwell's equations