Semester Final Review

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

Solve for b in the equation: A = \frac{1}{2}bh.

Back

b = \frac{2A}{h}

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

Write a system of equations based on the following scenario: Nancy purchased 4 apples and 6 bananas for $13, and 3 apples and 7 bananas for $13.50.

Back

4x + 6y = 13 and 3x + 7y = 13.5

Front

What does the rate of change represent in a linear function?

Back

The rate of change represents how much the dependent variable changes for a unit change in the independent variable, often referred to as the slope.

Front

Calculate the rate of change for the line represented by the equation y = -\frac{1}{4}x + 2.

Back

The rate of change (slope) is -\frac{1}{4}.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves reducing it to its simplest form by combining like terms and performing operations.

Front

Simplify the expression: 20x^4y \div \frac{5x^3}{y^2}.

Back

4xy^3

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) = y.

Front

Identify the function that models the following table: (1, 30), (2, 55), (3, 80).

Back

h(x) = 25(5)^x.