Paintbrushes normally cost $7 each, but they are on sale for $1 off. A paintbrush case costs $16. The expression 7p − p + 16 can be used to find the cost in dollars of buying p paintbrushes on sale plus a case for them. The bar model below simplifies the expression 7p − p + 16 using squares to model combining like terms.

The table shown below gives the approximate enrollment at the university of michigan every fifty years. how many more students were enrolled at the university of michigan in 1950 than in 1900?

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.

In the picture below, line pq is parallel to line rs, and the lines are cut by a transversal, line tu. the transversal is not perpendicular to the parallel lines. note: figure is not drawn to scale. which of the following are congruent angles?