CFA #2 Review

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥).

Front

How do you solve a one-step linear inequality?

Back

To solve a one-step linear inequality, isolate the variable by performing the same operation on both sides of the inequality, similar to solving an equation.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

What does it mean to graph a linear inequality?

Back

Graphing a linear inequality involves shading the region of the graph that represents all the solutions to the inequality, using a dashed line for < or > and a solid line for ≤ or ≥.

Front

How do you solve a two-step linear inequality?

Back

To solve a two-step linear inequality, first isolate the term with the variable by performing the inverse operation, then solve for the variable.

Front

What is the difference between a strict and non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary value, while a non-strict inequality (≤ or ≥) includes the boundary value.

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

How do you graph the function g(x) = -1/3 f(x)?

Back

To graph g(x) = -1/3 f(x), you start with the graph of the parent function f(x) = x, then apply a vertical compression by a factor of 1/3 and reflect it across the x-axis.

Front

What is the solution to the inequality 20 - 15y > 15 + 5y?

Back

The solution to the inequality is y < 1/4.

Front

How do you convert the equation 5x - 2y = 20 into slope-intercept form?

Back

To convert 5x - 2y = 20 into slope-intercept form, solve for y: y = (5/2)x - 10.