In Exercise 8.1.1, you learned the definition of direct and inverse variations, and then you practiced creating these variations. Fill in the blanks with SOMETIMES, ALWAYS, or NEVER to complete each sentence. Direct variations are _ linear and _ go through the origin.

Inverse variations are _ linear and _ go through the origin.

Hannah is 3 years older than twice her brother joey’s age. joey is 2 years old. how old is hannah? show all of your work! the number of students is five more than seven times the number of teachers. there are 10 teachers. how many students are there? be sure to show all of your work!

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Find the solution(s) to the system of equations. select all that apply y=x^2-1 y=2x-2