HOLUB- First Semester Review 2022

Front

What is standard form in mathematics?

Back

Standard form is a way of writing numbers using powers of ten. For example, 9.2 x 10^7 is written as 92,000,000 in standard form.

Front

How do you determine if a mapping is a function?

Back

A mapping is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between the independent and dependent variables is not constant. For example, the graph of y = -3x is proportional, while a graph that does not pass through the origin is non-proportional.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, often involving variables. For example, y = -3x is an algebraic equation.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between the dependent and independent variables.

Front

What is the definition of a function in mathematics?

Back

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

Front

How do you convert scientific notation to standard form?

Back

To convert scientific notation to standard form, multiply the coefficient by 10 raised to the power indicated. For example, 9.2 x 10^7 becomes 92,000,000.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.