Tuan is making sandwiches for a party. He makes triangular-shaped sandwiches like the triangle shown. Which of these rectangular sandwiches has the same area as the triangular sandwich? Choose all the correct answers.
A. 9 cm by 16 cm
B. 16 cm by 18cm
C. 18 cm by 8 cm
D. 24 cm by 6 cm
E. 28 cm by 5 cm
F. 32 cm by 9 cm
9 cm by 16 cm
18cm by 8 cm
24cm by 6 cm
Which expressions have a value of 54 when v=6? Choose all the correct answers.
A. 2(v2-9)
B. v3/18+3
C. (2v)2-90
D. v3/3-18
E. 2(v2-90)
F. (v+2)2-10
2(v²-9)
v³÷3-18
(2v)²-90
(v+2)²-10
What is the least common multiple of 21 and 28?
84
A mural will be painted on the side of a building. The dimensions of the mural are shown. What is the total area of the mural?
648 yds2
You can use the formula A= 2s² + 4sh 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 14 inches long and a height of 18 inches. What is the surface area of the square prism? Show your work.
1,400 in²
Mr. Gupta buys three types of berries. He buys 30 blueberries, 54 blackberries, and 72 raspberries. He plans to bake the berries into more than one tart. He wants to put the same number of each type of berry into each tart. What is the greatest number of tarts Mr. Gupta can bake? (Hint: Has to be in all 3 not just 2)
6
The parallelogram shown on the grid represents a pen for Reyna’s pets. The side of each grid square represents 1 yd. Reyna wants to redesign the pen so that it is a rectangle with the same area as her current pen. Explain how Reyna can redesign her pen.
Make it into a rectangle with 3 yds as the base and 7yds as the height
What is the value of the expression 5³ + 169? Record your answer on the grid.
294
Belkys has a bunch of c balloons. She adds 15 balloons to the bunch. Then she shares all the balloons equally among her 4 grandchildren. Write an expression that represents the number of balloons each grandchild receives. Show your work.
(c+15)÷4
(c+15)/4
Edgar cuts out the net shown and folds it to make a three-dimensional shape. Which three-dimensional shape does Edgar make?
Triangular pyramid
Evaluate the expression 9m²-3n³÷p+8 when m=5, n=3, and p=9
224
Aiden writes an algebraic expression to represent the product of 25 and the sum of 20 and 3y. Identify the factors in Aiden’s expression. Hint: The Algebraic Expression looks like this 25•(20+3y)
25; 20+3y
Khalil has a box with the dimensions shown. He plans to cover the box with glitter. What is the total surface area to be covered with glitter? Show your work.
267 ft2
What is the value of the expression 2a²- (b⁵+2b) when a=12 and b=3? Show your work.
39
Elvin has 90 comic books. He donates a third of the comic books to a library. Then he buys 4 comic books at each of several bookstores. Write an expression to represent the number of comic books Elvin has after he buys comic books at b bookstores.
60+4b