7.1-7.4 Flashcard Review

Front

What is a solution of an equation?

Back

A solution of an equation is a value that makes the equation true when substituted for the variable.

Front

How do you write the word sentence 'The quotient of a number x and 5 is 20' as an equation?

Back

x ÷ 5 = 20

Front

What is the equation that represents the total cost of ordering t-shirts if each shirt costs $10 and there is a $20 shipping fee?

Back

10s + 20 = c, where s is the number of shirts and c is the total cost.

Front

In the equation y = 10x + 25, what are the independent and dependent variables?

Back

Independent = x (weeks), Dependent = y (dollars in savings).

Front

How do you find the amount in your savings account after 8 weeks using the equation y = 10x + 25?

Back

Substitute x = 8 into the equation: y = 10(8) + 25 = $105.

Front

What does the term 'independent variable' mean?

Back

An independent variable is a variable that represents the input or cause in a function, which can be changed freely.

Front

What does the term 'dependent variable' mean?

Back

A dependent variable is a variable that represents the output or effect in a function, which depends on the independent variable.

Front

What is the process to check if a value is a solution to an equation?

Back

Substitute the value into the equation and see if both sides are equal.

Front

What is the meaning of 'quotient' in mathematics?

Back

The quotient is the result of dividing one number by another.

Front

How can you express a total cost equation in terms of variables?

Back

A total cost equation can be expressed as c = price per item * quantity + fixed costs.