2021 Fall Semester Exam Review #1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you write the inequality for 'The sum of a number y and 7.6 is greater than or equal to 24'?

Back

Front

What does a horizontal translation of a graph mean?

Back

A horizontal translation shifts the graph left or right along the x-axis.

Front

If f(x) = 3x - 4, what is g(x) if g(x) = f(x + 5)?

Back

g(x) = 3(x + 5) - 4 = 3x + 15 - 4 = 3x + 11, which represents a horizontal translation 5 units left.

Front

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

Back

Front

How do you write a linear equation for a party supply company charging $4 for an initial fee and $2 for each additional hour?

Back

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the meaning of 'vertical translation' in graph transformations?

Back

A vertical translation shifts the graph up or down along the y-axis.

Front

How do you determine the number of basketballs and footballs bought if $22 per basketball and $36 per football were spent for a total of $608?

Back

Let x be the number of basketballs and y be the number of footballs. The equations are: 22x + 36y = 608 and y = x + 4.

Front

What is the solution to the system of equations 22x + 36y = 608 and y = x + 4?

Back

The solution is 8 basketballs and 12 footballs.