Match the vocabulary words with the correction definitions. 1. algebraic experession a. an expression involving only constants 2. coefficient b. expressions that are equal in value even though they are written in different ways 3. equivalent expressions c. terms that have the same variable(s), with each variable raised to the same exponent 4. like terms d. an expression involving one or more variable terms 5. numeric expression e. the number in front of a variable in a term

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.