15 questions
The tile floor in a restaurant is being replaced. The dimensions of the floor are shown. What is the total area of the new tile floor in the restaurant.
64 ft2
180 ft2
240 ft2
300 ft2
2 Use PEMDAS to evaluate the expression d=4, e=2, and f=8.
3 You can use the formula to find the surface area of a square prism that has a base with edge length s and height h. A square prism has a base with edges that are 12 centimeters long and a height of 15 centimeters. What is the surface area of the square prism? Show your work.
4 Divya has 70 rocks. She donates half of the rocks to a science center. Then she collects 3 rocks on each of her nature hikes. Write an expression to represent the number of rocks Divya has after she collects rocks on n nature hikes.
5 The parallelogram shown on the grid represents Leta's current garden. The side of each grid square represents 1 ft. Leta wants to redesign her garden so that it is a rectangle with the same area as her current garden. Explain how Leta can redesign her garden.
6 Mia cuts out the net shown and folds it to make a three-dimensional shape. Which three-dimensional shape does Mia make?
rectangular prism
square pyramid
triangular prism
triangular pyramid
7 Reynaldo has a brick with the dimensions shown. He plans to paint the brick to use as a doorstop. What is the total surface area to be painted? Show your work.
8 Domingo has a sack of b bananas. He adds 20 bananas to the sack. Then he shares all the bananas equally among 3 coworkers. Write an expression that represents the number of bananas each coworker receives. Show your work.
9 What is the value of the expression when d4 + 125 when d = 4?
10 What is the least common multiple of 12 and 18?
6
18
36
216
11 MacKenzie writes an algebraic expression to represent the product of 12 and the sum of 16 and 5x. Identify the factors in MacKenzie's expression. Write your answers in the blanks.
The factors of MacKenzie's expression are _________ and ________.
12 Ms. Reyes buys three types of flowers. She buys 20 roses, 24 carnations, and 36 tulips. She plans to group the flowers into more than one bouquet. She wants to put the same number of each type of flower into each bouquet. What is the greatest number of bouquets Ms. Reyes can make? Show your work.
13 Which expressions have a value of 49 when w = 4?Choose all the correct answers.
3w2 + 25
7(w2 - 9)
(2w)2 - 19
w3 / 8 + 49
(w + 3)3
14 Benjamin is making patches for a quilt. He makes a triangular-shaped patch like the triangle shown. Which of these rectangular patches has the same area as the triangular patch? Choose all the correct answers.
25-cm by 24-cm rectangle
5-cm by 60-cm rectangle
25-cm by 15-cm rectangle
3-cm by 100-cm rectangle
12-cm by 25-cm rectangle
15 What is the value of the expression 3b2 - 2(a4 + 4a), when a=3 and b = 10.
Show your work.