Question 1

A times C is represented by:
A)A:C
B)A + C
C)AC
D)A/C
E)None of these

Accepted Answer

The most common way to represent multiplication in mathematics is by using the multiplication symbol "x" or by simply placing the two values next to each other. However, in some situations, it is also common to use a dot "·" or parentheses "()". In the given options, only choice C represents multiplication of A and C.

Question 2

B + 8 = 9; B = 17.

Accepted Answer

If B + 8 = 9, then subtracting 8 from both sides gives B = 1, not 17.

Question 3

More than one unknown in a word problem can be represented in terms of the same variable assigned to first unknown.

Accepted Answer

This is true. For example, if the first unknown is represented as x, then the second unknown can also be represented as x+5 or 2x, etc. This allows us to create equations and solve for the original unknown x.

Question 4

If there are two unknowns, the variable is always assigned to the larger value.

Accepted Answer

The variable can be assigned to either value, there is no rule that it must be assigned to the larger value.

Question 5

A letter or a symbol that represents one or more numbers is a:
A)Variable
B)Equation
C)Known
D)Constant
E)None of these

Accepted Answer

A variable is a letter or a symbol that represents one or more numbers. It is used in algebra to represent unknown values or values that can change.

Question 6

A formula is not an equation.

Accepted Answer

The answer of A formula is not an equation....

Question 7

B/30 = 9; B = 270.

Accepted Answer

This is correct. It is found by multiplying 30 by 9 to get 270.

Question 8

B/5 + 3 = 15; B = 16.

Accepted Answer

To solve for B, we need to isolate it on one side of the equation.

B/5 + 3 = 15

Subtracting 3 from both sides:

B/5 = 12

Multiplying both sides by 5:

B = 60

Therefore, the given answer is false.

Question 9

Whatever you do to one side of an equation, you must do to the other.

Accepted Answer

This is known as the balancing method or the principle of equality. It maintains the equality of the equation.

Question 10

When an equation uses addition, the variable can be solved by the opposite process: subtraction.

Accepted Answer

This is true. Solving an equation involves doing the opposite operation to isolate the variable. For example, if the equation is x + 5 = 10, you would subtract 5 from both sides to get x = 5.

Question 11

B - 6 represents Bob's age six years ago.

Accepted Answer

The expression "B ? 6" suggests an operation involving B (Bob's age) and 6, which, when properly interpreted (e.g., B - 6), would represent Bob's age six years ago.

Question 12

No number in front of a letter is really a 1.

Accepted Answer

This statement is true because a number (such as 2 or 3) in front of a letter indicates the number of atoms of that element in a molecule or compound, while the absence of a number indicates that there is only one atom of that element. Therefore, if there is no number in front of a letter, it is assumed to be a 1.

Question 13

In word problems, the word "of" indicates an equal sign.

Accepted Answer

The word "of" does not necessarily indicate an equal sign in word problems, it can indicate multiplication, division, or part-whole relationships.

Question 14

Variables can only be numbers.

Accepted Answer

Variables can be numbers or any other data type, such as strings or booleans.

Question 15

Variables and constants are terms of mathematical expressions.

Accepted Answer

Variables and constants are both terms used in mathematical expressions. Variables are symbols that represent a quantity that can vary, while constants are symbols that represent a fixed value.

Question 16

Jerry's age 10 years ago can be expressed as:
A)A - 10
B)A + 10
C)2A - 10
D)2A + 10
E)None of these

Accepted Answer

In the given options, only option A subtracts 10 from the variable A, which represents Jerry's current age, to give his age 10 years ago.

Question 17

B - 11 = 40; B = 29.

Accepted Answer

The answer of B - 11 = 40; B =...

Question 18

There is only one set way to solve all word problems.

Accepted Answer

There are many different strategies and approaches to solving word problems, and each problem may require a unique method of solving.

Question 19

An equation represents a math expression of equality.

Accepted Answer

An equation is a statement that two expressions are equal. It is represented by the equal symbol (=).

Question 20

An equation is:
A)A math expression of inequality
B)A math expression of constants
C)A math unknown
D)A math expression of equality
E)None of these

Accepted Answer

An equation is a math expression of equality, meaning it equates two mathematical expressions using an equals sign.

Quiz 5: Solving for the Unknown: a How to Approach to Solving Equations

A times C is represented by: