Business Math: Ch. 5 LearnSmart

The expression, "A/B" indicates Blank______. A times B A plus B A minus B A divided by B

A divided by B

"5A + 6 = 26" is an example of a/an: A. equation B. expression C. formula

A. equation

Formulas are shortcuts for expressing a __________ concept.

word

Given the equation: 30(2 + H)=100, which rule must be applied first? A. Like Unknown B. Opposite Process C. Parenthesis D. Multiple Process

C. Parenthesis

Select the sign that indicates that multiplication is to occur. A. / B. + C. x D. -

C. x

Which rule states that you can perform the same math function to each side of the equation without affecting the equality of the equation? A. Multiple Process B. Opposite Process C. Like Unknowns D. Equation Equality

D. Equation Equality

Select the example of a formula. A. 4Q + 3 B. Q C. 3 D. Interest = Principal X Rate X Time

D. Interest = Principal X Rate X Time

True or false: An expression has an equals (=) sign.

False

Which rule requires you to combine similar variables before using the opposite rule? Like Unknowns Multiple Process Opposite Process Parenthesis

Like Unknowns

Match the Variable M to the variable statement. M + 15 M - 15 M x 15 M ÷ 15 Abby spent 1/15th of what Mary spent. Abby spent $15 less than Mary. Abby spent 15 times what Mary spent. Abby spent $15 more than Mary.

M + 15 Abby spent $15 more than Mary. M - 15 Abby spent $15 less than Mary. M × 15 Abby spent 15 times what Mary spent. M ÷ 15 Abby spent 1/15th of what Mary spent.

Using the Parentheses rule, solve for the following equation: 3(M + 4) = 36 M = 8 M = 3 M = 16

M = 8

When solving for an unknown that involves more than one process, do the addition and subtraction before the multiplication and division is the ________ ________ Rule

Multiple Processes or Process

Whatever you do to one side of the equation, you must do to the other side is known as the ______. Opposite Process Rule Variable and Constants Rule Equation Equality Rule Solving for the Unknown Rule

Solving for the Unknown Rule

Irma spent three times as much as Bill on a laptop. Together they spent $3,200. How much did Irma spend? $2,400 $1,600 $800 $3,200

$2,400

The iPhone 8 is advertised as being on sale for $100 off with a sale price of $699. What is the original price of the iPhone 8? $699 $599 $799

$799

If no sign is in front of a number or variable, then the sign is (negative/positive) ________.

+, plus, or positive

Using the Multiple Process rule, solve the following equation.(V/4)-20=10 A. 4 B. 120 C. 60 D. 20

120

Using the Opposite Process rule, solve the following equation. T/3 = 10 10 13 30 3

30

Organize the steps in solving word problems for unknowns. 1. Check your result for accuracy. 2. Ask yourself, "What is the problem looking for?" 3. Let the variable represent the unknown, considering multiples of unknowns. 4. Visualize the relationship between the unknowns and variables and set up an equation. 5. Carefully read the problem.

5. Carefully read the problem. 2. Ask yourself, "What is the problem looking for?" 3. Let the variable represent the unknown, considering multiples of unknowns. 4. Visualize the relationship between the unknowns and variables and set up an equation. 1. Check your result for accuracy.

Match the sign to the respective math function. A. x B. ÷ C. + D. - 1. Divide 2. Add 3. Multiply 4. Subtract

A. = 3. Multiply B. = 1. Divide C. = 2. Add D. = 4. Subtract

Match the example with the respective term. A. 3A + 4 B. 2B - 9 = 11 C. I=P x R x T D. S E. 5 1. Variable 2. Equation 3. Constant 4. Expression 5. Formula

A. = 4. Expression B. = 2. Equation C. = 5.Formula D. = 1. Variable E. = 3. Constant

Using the "Solving for the unknown rule", if you multiply the left-side of an equation, then you must do what to the right side? A. Multiply B. Subtract C. Divide D. Add

A. Multiply

Select the purpose of an equation. A. To show that two groups are equal. B. To identify constants. C. To show the relationship between expressions. D. To identify the unknown numbers.

A. To show that two groups are equal.

Using the Multiple Process rule, solve the following equation. (V/4) - 20 = 10 A. 4 B. 120 C. 60 D. 20

B. 120

From the options below, select the "expression". A. 74H - 14=600 B. 19T + 54 C. 33

B. 19T + 54

Using the Like Unknowns rule, solve the following equation. A5 + 7A = 60 A. A = 30 B. A = 5 C. A = 720

B. A = 5

The expressions, "AxB","A(B)" and "AB" all indicate with which mathematical function? A. A plus B B. A time B C. A minus B D. A divided by B

B. A time B

Given the equation: B + 3 = 30, which rule will help you solve the equation? A. Like Unknowns B. Opposite Process C. Multiple Process D. Parenthesis

B. Opposite Process

"S" is an example of a(n): A. equation B. variable C. constant D. formula

B. variable

Select the purpose of an equation. To show that two groups are equal. To identify constants. To show the relationship between expressions. To identify the unknown numbers.

To show that two groups are equal.

Variables and constants are terms of mathematical expressions.

True

A(n) _______ is a mathematical statement with an equal sign showing an expression on the left equal to an expression on the right.

equation

The rule that indicates that the same quantity can be added or subtracted from both sides of the equation and remain equal ______. equation equality multiple process opposite process

equation equality

Match the term to the respective definition. expression equation formula variable constant

expression A combination terms separated by a plus and/or minus sign. equation An expression showing the left equals the right. formula An equation that expresses a rule. variable A letter that stands for a number if there is only one variable or a variety of numbers when there is more than one variable. constant Numbers or knowns.

A mathematical ______________ is a meaningful combination of numbers and letters called terms.

expression or expressions

A(n) ___________ is an equation that expresses in symbols a general fact, rule, or principle.

formula

In a typical equation, variables are placed on the (left/right) ______________ side of the equals sign, and constants are placed on the (left/right) _____________ side of the equals signs.

left / right

If no number is in the front of a letter, then the number is a (zero/one) _______________.

one

If no number is in front of a letter, then the number is a (zero/one)

one or 1

The "solving for the unknown rule" states that whatever you do to one side of the equation, you must do to the (other/same) _______ side.

other

The purpose of a variable is to stand in for a/an: constant term unknown number

unknown number

A(n) is a letter that stands for an unknown number.

variable