Chapter 5 Smartbook

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] [Process]

select the purpose of an equation

to show that two groups are equal

variables and constants are terms of mathematical expressions [true or false]

true

"S" is an example of a/an:

variable

A _________ is a letter that stands for an unknown number.

variable

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

$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?

$799

Organize the steps in solving word problems for unknowns.

1. carefully read the problem 2. ask yourself, "what is the problem looking for?" 3. let the variable represent the unknown, considering multiple of unknowns 4. visualize the relationship between the unknowns and variables and set up an equation 5. check your result for accuracy

Liz sold emergency kits ($39) and first-aid kits ($23). Total sales for 13 kits is $347. How many first-aid kits were sold?

10

Using the Multiple Process rule, solve the following equation. V/4 - 20 = 10

120

From the options below, select the "expression"

19T + 54

Tim sold 4 times as many homes as Michele. The difference in their sales is 12. How many homes were sold?

20 homes

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

30

Using the Opposite Process rule, solve the following equation: A + 40 = 120

80

If Kaylee will be 36-years old 10 years from now, then we would use the expression Blank______ to show how old she will be in 10 years. (Assume symbol A as the variable.)

A + 10

Using the Like Unknowns rule, solve the following equation. 5A + 7A = 60.

A = 5

the expression "A/B" indicates _______

A divided by B

Which rule states that you can perform the same math function to each side of the equation without affecting the equality of the equation?

Equation Equality

select the example of a formula

Interest = Principal × Rate × Time

Which rule requires you to combine similar variables before using the opposite rule?

Like Unknowns

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

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

The iPhone 6s is advertised as being on sale for $100 off with a sale price of $299. Which equation reflects the word problem? (Consider P represents the original price.)

P - 100 = 299

Given the equation: 30(2 + H) = 100, which rule must be applied first?

Parenthesis

Whatever you do to one side of the equation, you must do to the other side is known as the ________

Solving for the Unknown Rule

"5A + 6 = 26" is an example of a/an _______

equation

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

The rule that indicates that the same quantity can be added or subtracted from both sides of the equation and remain equal ____________

equation equality

a mathematical ______ is a meaningful combination of numbers and letters called terms

expression

match the term to the respective definition

expression <---> a combination of 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

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

false

a _______ is an equation that expresses in symbols a general fact, rule, or principle

formula

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?

multiply

(Select all that apply) The purpose of a variable is to stand in for a(n): [number; term; constant; unknown]

number ; unknown

if no number is in front of a letter, then the number is a [zero ; one]

one

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

If no sign is in front of a number or variable, then the sign is [negative/positive]

positive