Lesson 1: How to Solve Basic Algebraic Equations

Given: EL = IN x RN/RN+RL IN = 10 Amps RN = 2 Ω RL = 3 Ω Solve for EL

EL = 4.0 V

Subtraction is expressed as the ? two quantities.

difference between

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

1

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

X = (A-1)/3

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

formula

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

product

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

quotient

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

subtract 17 from

Solve the following equation. A − 7 = 17

24

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

30

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

32.5

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

67.5 Volts

Solve the following equation. A + 17 = 20

A = 3

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

A = 5

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

Addition

Select the correct Ohm's Law formula that will solve for E when only I and R are known.

E = Ix R

Given E = I × R and P = E × I, select the formula that will solve for E when only I and P are known.

E = P/I

Given E = I × R and P = E × I, select the formula that will solve for E when only R and P are known.

E = √PxR

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.

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).

P = E × 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).

R = E/I

Given E = I × R, select the formula that will solve for R when only E and I are known.

R = E/I

Given E = I × R and P = E × I, select the formula that will solve for R when only E and P are known.

R = E2/P

Given E = I × R and P = E × I, select the formula that will solve for R when only I and P are known.

R = P/I2

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

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

Solve the following simple equations for X. 3X = A − B

X = (A-B)/3

Solve the following simple equations for X. YX = A − B

X = (A-B)/Y

Solve the following for X. 45X = 120/2

X = 1.33

Solve the following for X. X + (A + B − 2) = 100

X = 102 − A − B

Solve the following for X. X - (7/2) = 120

X = 123.5

Solve the following for X. 128/X = 64

X = 2.0

Solve the following for X. (A + B) X = 27

X = 27/(A+B)

Solve the following equation. 15Y = 90

Y = 6

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

add 7 to