Questions and Answers
Change the following rule into a formula: The power in watts (P) in a circuit is equal to the voltage (E) multiplied by the current (I).
Change the following rule into a formula: The resistance in ohms (R) in a circuit is equal to the voltage (E) divided by the current (I).
Find the value of the variable A in the equation A = BH/2 if B = 13 and H = 5.
If AB = 63 and B = 12.6, what is the value of A?
Signup and view all the answers
How could someone prove he or she answered the previous question correctly?
Signup and view all the answers
If a person multiplies one side of an equation by five, what must he or she do to the other side of the equation?
Signup and view all the answers
Solve the following equation: 15Y = 90.
Signup and view all the answers
Solve for R in the following equation: R/5 = 6.
Signup and view all the answers
Solve the following equation: A + 17 = 20.
Signup and view all the answers
To solve the equation A + 17 = 20, a person must ? each side of the equation.
Signup and view all the answers
Solve the following equation: A − 7 = 17.
Signup and view all the answers
To solve the equation A − 7 = 17, a person must ? each side of the equation.
Signup and view all the answers
Solve the following simple equations for X: (3X)/3 = (4 - 1)/3.
Signup and view all the answers
Solve the following simple equations for X: 3X/3 = (A - 1)/3.
Signup and view all the answers
A(n) ? is a shorthand method for writing a mathematical rule.
Signup and view all the answers
The multiplication of two or more quantities may be expressed as the ? of the same quantities.
Signup and view all the answers
Division of two quantities is expressed as the ? of those two quantities.
Signup and view all the answers
? is expressed as the sum of a given number of quantities.
Signup and view all the answers
Subtraction is expressed as the ? of two quantities.
Signup and view all the answers
Given: E = IxR, I = 150 µA, R = 450 kΩ. Solve for: E (in volts).
Signup and view all the answers
Study Notes
Algebraic Equations Basics
- Power in watts (P) is calculated using the formula P = E × I, where E represents voltage and I represents current.
- Resistance in ohms (R) can be determined with the formula R = E/I, using voltage (E) and current (I).
Solving for Variables
- Find the value of variable A using the formula A = BH/2 with B = 13 and H = 5 results in A = 32.5.
- In the equation A × B = AB, given AB = 63 and B = 12.6, the value of A is 5.
Verification of Solutions
- To confirm the correctness of an answer, substitute the calculated values into the original equation and check for equality.
Manipulating Equations
- When one side of an equation is multiplied by a number, the same operation must be applied to the other side. In this case, if one side is multiplied by five, the other side must also be multiplied by five.
Solving Simple Equations
- For the equation 15Y = 90, Y is determined to be 6.
- In the equation R/5 = 6, R is solved to be 30.
- To solve A + 17 = 20, the value of A is 3, requiring subtraction of 17 from both sides of the equation.
Strategies for Solving Equations
- To solve A - 7 = 17, A becomes 24 by adding 7 to both sides.
- For the equation (3X)/3 = (4 - 1)/3, the solution for X is 1.
- From 3X/3 = (A - 1)/3, solving gives X = (A - 1)/3.
Mathematical Definitions
- A formula is a shorthand way to express a mathematical rule.
- The product refers to the result of multiplying two or more quantities.
- The quotient represents the result of dividing two quantities.
- Addition is defined as the sum of given quantities.
- The result of subtraction is expressed as the difference between two quantities.
Application of Ohm's Law
- To find voltage (E) when current (I) is 150 µA and resistance (R) is 450 kΩ, use E = IR, yielding 67.5 Volts.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of basic algebraic equations, including calculations for power, resistance, and solving for variables. This quiz covers essential formulas and methods for manipulating equations and verifying solutions, suitable for beginners in algebra.