Test 4: Lesson 1. How to Solve basic Algebraic Equations

? is expressed as the sum of a given number of quantities. a. Addition b. Multiplication c. Subtraction d. The square of a number

a. Addition

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

b. 1

Solve for R in the following equation. R/5 = 6 a. 15 b. 30 c. 36 d. 40

b. 30

A × B = AB. If AB = 63 and B = 12.6, what is the value of A? a. A = 3 b. A = 5 c. A = 7 d. A = 9

b. A = 5

Solve the following equation. A + 17 = 20 a. A = −3 b. A = 2 c. A = 3 d. A = 7

c. A = 3

How could someone prove he or she answered the previous question correctly? a. Run the calculation(s) again to test the equation. b. Substitute any values into the original equation and verify the equality. c. Substitute the original values into the original equation and verify equality. d. Substitute the calculated values into the original equation and verify equality.

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

To solve the equation below, a person must ? each side of the equation. A + 17 = 20 a. add 17 to b. divide 17 on c. multiply by 17 on d. subtract 17 from

d. subtract 17 from

Solve the following simple equations for X. 3X/3 = (A - 1)/3 a. X = −A b. X = A c. X = (A − 1) d. X = (A - 1)/3

d. X = (A - 1)/3

Solve the following equation. A − 7 = 17 a. 10 b. 14 c. 21 d. 24

d. 24

To solve the equation below, a person must ? each side of the equation. A − 7 = 17 a. add 7 to b. divide 7 on c. multiply by 7 on d. subtract 7 from

a. add 7 to

Subtraction is expressed as the ? two quantities. a. difference between b. division of c. ratio of d. sum of

a. difference between

Find the value of the variable A in the equation A = BH/2 if B = 13 and H = 5. a. 30. 2 b. 32.5 c. 65 d. 65.7

b. 32.5

Given: E = IxR I = 150 µA R = 450 kΩ Solve for: E (in volts) a. 6.75 Volts b. 67.5 Volts c. 675.0 Volts d. 6,750.0 Volts

b. 67.5 Volts

The multiplication of two or more quantities may be expressed as the ? of the same quantities. a. dividend b. product c. quotient d. sum

b. product

If a person multiplies one side of an equation by five, what must he or she do to the other side of the equation? a. Add five. b. Divide by five. c. Multiply by five. d. Subtract five.

c. 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). a. I = P × E b. E = I × P c. P = E × I d. P = I × E2

c. P = E × I

Solve the following equation. 15Y = 90 a. Y = 0.166 b. Y = 5 c. Y = 6 d. Y = 9

c. Y = 6

A(n) ? is a shorthand method for writing a mathematical rule. a. equal sign (=) b. equation c. formula d. math problem

c. formula

Division of two quantities is expressed as the ? of those two quantities. a. dividend b. product c. quotient d. sum

c. quotient

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). a. E = I/R b. I = E/R c. R = I/E d. R = E/I

d. R = E/I