2021 6th Grade Math Fall Benchmark Review

(6.7A) What is the value of the expression? $\left(-8+3\right)^2+10\cdot\left(-4\right)$  

(6.7A) Prime Factorization of 80

• $10\cdot\left(2+6\right)$

• $2^4\cdot5$

• $\left(5^2-5\right)\cdot4$

• $2\cdot5\cdot8$

(6.7B) Leonardo charges $9 an hour

for horse-riding lessons and pays

$12 to the owner of the horse per day.

Which expression represents the

amount Leonardo earns in one day?

• $9x-12$

• $9-12x$

• $9x+12$

• $9+12x$

(6.7D) What expression is equivalent to the following expression? $7(-4x+3)$  

(6.9A) Nicholas is arranging chairs in the school auditorium. He puts 13 chairs in each row. There are 234 total chairs. Which equation can be used to find r, the number of rows of chairs Nicholas should put in the auditorium?

• $13r=234$

• $r+13=234$

• $\frac{x}{13}=234$

• $r–13=234$

(6.9B) The difference of a number, x, and -3 is 4. Which number line graph best represents the value of x?

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 (6.9C) Which situation is represented by the inequality shown below? $14x=60$ 

• The area of a rectangle is 60 square units. The length of the rectangle is 14 units. What is x, the width of the rectangle in units? 

• The perimeter of a rectangle is 60 units. The length of the rectangle is 14 units. What is x, the width of the rectangle in units?  

•  The length of a rectangle is 60 units and the width of is 14 units. What is x, the area of the rectangle in square units?  

• A rectangle has a length of 60 units and a width of 14 units. What is x, the perimeter of the rectangle?

(6.10A) The model below represents 5x = 8. What is the value of x in the equation 5x = 8?

(6.10B) Mr. Darcy purchased one dozen red roses. He pays $2.50 per red rose. He uses the equation below to determine the cost of the roses. 

 $\frac{c}{12}=2.50$  

What value represents the cost of Mr. Darcy’s purchase?

(6.2D) Which lists the numbers in ascending order?

•  $\frac{1}{3},\ 0.3,\ 25\%,\ \frac{2}{5}$  
  

•  $\frac{1}{3},\ \frac{2}{5},\ 0.3,\ 25\%$  
  

•  $25\%,\ 0.3,\ \frac{1}{3},\ \frac{2}{5}$  

•  $0.3,\ \frac{1}{3},\ \frac{2}{5},\ 25\%$