Fall 24 Algebraic Reasoning Final Exam Review Part 1/2

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

How do you represent a cost function for renting a car?

Back

The cost function can be represented as y = 0.75x + 35, where y is the total cost, x is the number of miles driven, and 35 is the base rental fee.

Tags

CCSS.HSF.LE.B.5

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, which occurs when y = 0. It is also known as the 'zero' of the function.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the equation x + y = 15 represent in a word problem?

Back

This equation represents a relationship where the total number of two types of items (e.g., horses and chickens) is 15.

Front

What is the meaning of the term 'zeros' in algebra?

Back

In algebra, 'zeros' refer to the values of x that make a function equal to zero, which correspond to the x-intercepts of the graph.

Tags

CCSS.HSF-IF.C.7C

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

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, indicating the value of y when x = 0.

Front

How can you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane and shade the region that satisfies all inequalities.

Tags

CCSS.HSA.REI.D.12