FALL 2024 Semester Review - Updated

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 on a graph.

Front

How do you graphically solve a system of equations?

Back

To graphically solve a system of equations, plot each equation on the same graph and identify the point(s) where the lines intersect. This point(s) represents the solution(s) to the system.

Front

What does the equation 5x + 20y = 120 represent in a word problem?

Back

This equation represents a constraint based on the total amount of gold used, where x is the number of bracelets and y is the number of necklaces.

Front

What does the equation x = y + 4 signify in a word problem?

Back

This equation signifies that the number of bracelets (x) made is 4 more than the number of necklaces (y).

Front

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

Back

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

Front

How do you convert an inequality into slope-intercept form?

Back

To convert an inequality into slope-intercept form, isolate y on one side of the inequality, expressing it in the form y < mx + b or y > mx + b.

Front

What does the inequality 2x + 3y ≤ 6 represent graphically?

Back

Graphically, this inequality represents a region on the coordinate plane that includes all points (x, y) that satisfy the inequality, typically below the line 2x + 3y = 6.

Front

What is the meaning of rate of change in a real-world context?

Back

Rate of change refers to how much one quantity changes in relation to another quantity, often expressed as a ratio or a slope.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.