Write an algebraic justification for each step

A plane intersecting a cube can create a cross-section that is a square? True or false

Ethan needs to save at least $500 to purchase a new dirt bike. So far, he had saved $175. If he hopes to use two-fifths of his next paycheck to cover the amount, how much money must he make in his paycheck?

Seth sold 20% of his baseball cards during week one. During week two, he bought 20% more cards than he had after week one. If he now has 10 fewer cards, how many cards did he have originally? (he had more than 100 cards originally.)

Simplify the algebraic expression x + 4 - 5x - 2

At the museum, there were 4,050 students in attendance from a total of 15 school districts. What was the average attendance from each school district.

Express the series using sigma notation. -6m - 3m + 0 + 3m + 6m ...

A rancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 2 identical smaller rectangular plots by placing a fence parallel to one of the field's shorter sides.

Write each expression as the product of two binomials x2 - 5x + 6

The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side

Which of the following constants can be added to x2 - 10x to form a perfect square trinomial?