Linear Equations and Inequalities Review for Algebra 1

The video tutorial covers linear relationships, including parallel and perpendicular lines, equations in standard form, transformations of linear functions, linear inequalities, and linear regression. It explains how to use graphing calculators and Desmos for visualizing concepts and solving problems. The tutorial also demonstrates how to write equations and inequalities in different forms and how to perform linear regression using a TI calculator.

What form must a linear equation be in to graph it using a graphing calculator?

• Standard form

• Point-slope form

• None of the above

• Slope-intercept form

What do parallel lines have in common?

• No common properties

• Same y-intercepts

• Same slopes

• Opposite slopes

How do you write the equation of a line perpendicular to the x-axis and passing through (1, 7)?

• y = 7

• y = 1

• x = 1

• x = 7

What is the slope of a line parallel to Y = -X + 10?

• 10

• 1

• -1

• 0

What transformation occurs when you multiply the linear parent function by -1?

• Dilation

• Reflection

• Translation

• Rotation

What happens to the slope of a line when it is multiplied by 3?

• It remains unchanged

• It becomes 1/3 times steeper

• It becomes 3 times less steep

• It becomes 3 times steeper

What is the correct inequality sign for a graph with a dashed line shaded below?

• Greater than or equal to

• Less than or equal to

• Less than

• Greater than

What is the purpose of flipping the inequality sign when dividing by a negative number?

• To simplify the equation

• To maintain the inequality's truth

• To adjust the y-intercept

• To correct the slope

How do you determine the direction to shade for a linear inequality?

• By the x-intercept

• By the slope

• By the y-intercept

• By testing a point

What does a strong positive correlation coefficient indicate in linear regression?

• Weak relationship between variables

• Negative relationship between variables

• No relationship between variables

• Strong positive relationship between variables