Multiplying Monomials and Binomials — Cumulative exam Answers

What is the product?(5r − 4)(r2 − 6r + 4)

What values of c and d make the equation true? Assume and

Which expression is equivalent to ? Assume x 0.

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, she had 138 left. How many flowers were in each bunch?

Maggie bought a pound of bananas and 4 boxes of cereal for $10.11. If each box of cereal cost $2.40, what was the price of a pound of bananas?

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue PaintWhite PaintMixture A5 cups12 cupsMixture B6 cups6 cupsMixture C4 cups12 cupsMixture D5 cups6 cupsWhich mixture has the highest ratio of blue paint to white paint?

Which expression is equivalent to ?

Three investors own a company. One partner owns of the company, while the second partner owns of the company. How much does the third partner own?

Chung has 6 trucks and 5 cars in his toy box. Brian has 4 trucks and 5 cars in his toy box. Which is the correct comparison of their ratios of trucks to cars?

Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills.AndrewKarleighAndrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance?

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

A teacher presented students with four tables. Table 1Table 2Table 3Table 4Which table describes a linear function that has a slope of 2?

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

Ivan finished of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?

What is the value of c in the equation ?