Question

Which description is paired with its correct expression? 

two less than the quotient of a number cubed and four, increased by eight; 

six times the difference of five and a number squared; 

three more than the quotient of nine and a number cubed, decreased by two; 

twice the difference of a number squared and three; 

Comments

2. Jayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?

Use the formula , where V represents the volume, l represents the length, w represents the width, and h represents the height.

________ 

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3. Which algebraic expression represents “Marcus ran four times as far this week”?

4 + n

4n

n – 4

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4. Which situations can represent the expression ? Check all that apply.

Ramya’s grade increased by two points

the difference between Escher’s highest score and two

the number of chapters Wally read plus two more

two fewer than the maximum number of absences Ellie is allowed

two added to Allison’s age.

the sum of Mikel’s height and two

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5. Collin is substituting  and  to determine if the two expressions are equivalent.

                        

Which statement is true?

Both expressions are equivalent to 11 when .

Both expressions are equivalent to 33 when .

Both expressions are equivalent to 23 when .

The expressions are not equivalent.

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6. Dominick drew a triangle on a map connecting his house, his school, and his favorite skate park. He used a scale on the map to determine that the height of the triangle that he drew represented 2 miles, and the base of the triangle that he drew represented 6 miles. What is the area of the triangle in square miles?

Use the formula for the area of a triangle, , where A is the area of the triangle, b is the base, and h is the height.

__________ 

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7. What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?

_________

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8. Which scenario could be represented by the algebraic expression ?

Ahmed wants to know how much money he would make after 12 hours of work.

Ahmed wants to know the height of a building if each floor is 12 feet high.

Ahmed wants to know how many half-inch pieces are in a foot.

Ahmed wants to know how many floors are in an office building when each floor is 12 feet high.

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9. Which description can be written as the expression ?

Hasaan wants to know how much savings is left in his account if he withdraws fifteen dollars.

Hasaan wants to know how many fifteen-dollar tickets he has to sell to make forty dollars.

Hasaan wants to know how much money he would have after forty hours of work if fifteen dollars is taken out of his pay for taxes.

Hasaan wants to know how many fifteen-foot floors are in a building that is forty-feet tall.

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Which shows the use of the commutative property? 

 10. 

Answer 1

1. 3
2. 4*2*8=64 cu in
3. 2
4. 1 3 5 6
5. 4
6. (1/2)6*2=6 sq mi
7. 10/n-3+6; n=2, 8.....answer is 8
8. 4 (the height of the building divided by the height of each floor)
9. 3
10. 3