(24-25) Algebra 1 -- Midterm Practice

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

Front

What is the value of x if \( f(x) = 3x - 12 \) and \( f(x) = -6 \)?

Back

2

Front

How do you solve for a in the equation \( a = pw \)?

Back

To isolate a, you can express it as \( a = p \cdot w \).

Front

What is the slope of a line that is perpendicular to the line \( y = 2x - 7 \)?

Back

-1/2

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

How do you determine if an equation has no solutions?

Back

An equation has no solutions if it leads to a contradiction, such as 0 = 5.

Front

What is the formula for the slope of a line given two points \( (x_1, y_1) \) and \( (x_2, y_2) \)?

Back

The slope \( m \) is calculated as \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.