Algebra Basics Quiz

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).

I = P × E

P = I × E2

P = E × I (correct)

E = I × P

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).

E = I/R

I = E/R

R = I/E

R = E/I (correct)

Find the value of the variable A in the equation A = BH/2 if B = 13 and H = 5.

30.2

65.7

32.5 (correct)

If AB = 63 and B = 12.6, what is the value of A?

5 Signup and view all the answers

How could someone prove he or she answered the previous question correctly?

Substitute the calculated values into the original equation and verify equality. 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?

Multiply by five. Signup and view all the answers

Solve the following equation: 15Y = 90.

6 Signup and view all the answers

Solve for R in the following equation: R/5 = 6.

30 Signup and view all the answers

Solve the following equation: A + 17 = 20.

3 Signup and view all the answers

To solve the equation A + 17 = 20, a person must ? each side of the equation.

subtract 17 from Signup and view all the answers

Solve the following equation: A − 7 = 17.

24 Signup and view all the answers

To solve the equation A − 7 = 17, a person must ? each side of the equation.

add 7 to Signup and view all the answers

Solve the following simple equations for X: (3X)/3 = (4 - 1)/3.

1 Signup and view all the answers

Solve the following simple equations for X: 3X/3 = (A - 1)/3.

X = (A - 1)/3 Signup and view all the answers

A(n) ? is a shorthand method for writing a mathematical rule.

formula Signup and view all the answers

The multiplication of two or more quantities may be expressed as the ? of the same quantities.

product Signup and view all the answers

Division of two quantities is expressed as the ? of those two quantities.

quotient Signup and view all the answers

? is expressed as the sum of a given number of quantities.

Addition Signup and view all the answers

Subtraction is expressed as the ? of two quantities.

difference between Signup and view all the answers

Given: E = IxR, I = 150 µA, R = 450 kΩ. Solve for: E (in volts).

67.5 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.

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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.