Algebra Nation

How do we find the degree of a monomial?

• Highest base to lowest base

• Highest exponent to lowest exponent

• Descending order of coefficient

• Add the exponents together

How do we find the degree of a polynomial that is not a monomial?

• Smallest exponent

• Highest exponent

• Descending order of coefficient

• Add the exponents together

• Yes

• No

• 5

• 3

• -3

• 10

Write an expression for the total area of both rooms by using the Distributive Property.

• Gabrielle is correct; Brittany did not use arrows to show the distributive property before she multiplied.

• Brittany is correct; Gabrielle used arrows to show the distributive property.

• Commutative Property of Multiplication

• Commutative Property of Addition

• Associative Property of Multiplication

• Associative Property of Addition

Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled by the expression 35 + 3(n - 2.5) . What does n - 2.5 represent?

• the number of t-shirts purchased

• the total cost of the t-shirts

• the total cost of a t-shirt after the coupon is applied

• the amount Giselle saved by using a coupon

Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the following statements are true? Select all that apply.

• The expression 50ℎ represents the total charge for Rock the House Digital Designs.

• The expression 75ℎ represents the total charge for Elegance Home Architects.

• The expression 500 + 75ℎ + 50ℎ represents the total amount the Nelsons will spend on drawings of their new house plans.

• If the Nelsons hire the design firm for 15 hours, then Elegant Home Architects will be cheaper.

• If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

To watch the high school play, theatre goers must buy a ticket at the door. The cost of an adult ticket is $10.00, and the cost of a student ticket is $7.50. If the number of adult tickets sold is represented by a, and the number of student tickets sold is represented by s, which expression represents the amount of money collected at the door from the ticket sales?

• 7.50as

• 7.50(a + s)

• (10.00a)(7.50s)

• 10.00a + 7.50s