The Learning Room 8th Grade Assessment

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The short quiz is pulled from the 2022 released New York State Mathematics test. This quiz will cover the 8th grade year and what a student will be able to do by the end of the year. If you see that your student is struggling, we are here to help. Click here for a free assessment from one of our academic coaches.

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Which graph represents a function that is increasing?

1 point

What is the solution to the equation shown below?

2.5(x + 5) = 7.5x - 0.5

1 point

x = 2.6

x = 1.1

x = -2.6

x = -1.1

There are two boxes of cereal in the shape of rectangular prisms on a shelf. The dimensions of each box of cereal are listed below.

- Box A has a height of 25 centimeters, a length of 20 centimeters, and a width of 9 centimeters.

- Box B has a height of 25 centimeters, a length of 19 centimeters, and a width of 6 centimeters.

What is the difference in volume, in cubic centimeters, between the two boxes of cereal?

1 point

1,650

3,900

4,500

7,350

Which equation represents the line shown on the coordinate plane below? *

1 point

y = 2/5x + 4

y = 2/3x + 4

y = 3/2x + 4

y = 5/2x + 4

Two intersecting lines, l and t, are shown in the diagram below.

1 point

115

Triangle P undergoes a sequence of transformations resulting in triangle Q. Which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle P?

1 point

a reflection followed by a translation

a rotation followed by a reflection

a reflection followed by a rotation

a translation followed by a dilation

A scatter plot is shown below.

1 point

A line would not be appropriate because there is a negative association.

A line would not be appropriate because the points follow a nonlinear pattern.

A line would be appropriate because there is a positive association.

A line would be appropriate because the points follow a nonlinear pattern.

What is the solution, if any, to the equation below.

3(x - 2) + 4 = 3x + 6

1 point

x = 0

x = 8

There is no solution

There are an infinite number of solutions

Which expression is equivalent to (15³)(15⁻¹⁷) *

1 point

15⁻²¹

-15⁴

1/15⁴

1/15⁻⁴

Alex opened a savings account with an initial deposit of $50. Each month, he deposits the same amount of money. He uses the equation t = 50 + 25m to determine t, the total amount of money in his savings account in m months. What is the unit rate and what is the meaning of the unit rate? *

1 point

25; the amount of money Alex deposits each month

50; the amount of money Alex deposits each month

25; the amount of money Alex initially deposited

50; the amount of money Alex initially deposited

What is the solution to the equation shown below?

-1/3(6y + 6) + 21 = 3y

1 point

y = 19/5

y = 27/5

y = -9/5

y = -23/5

The graph of a function is shown on the coordinate plane below.

1 point

-5 and -3

-3 and 1

1 and 4

4 and 6

The dimensions of a cone are shown in the figure below.

1 point

138

415

622

1,244

A triangle with side lengths a, b, and c is shown below.

1 point

a + b > c

b + c < a

a + b < c

a + c > b

A line is graphed on the coordinate plane shown below. *

1 point

y = -4/5x + 8

y = 4/5x + 10

y = -5/4x + 8

y = 5/4x + 10

There are two mechanics who work on cars. For each mechanic, the relationship between x, the number of hours worked, and y, the total cost, in dollars, is described below.

- The equation y = 36x represents the total cost charged by Mechanic A for the numbers of hours worked.

-The graph below represents the total cost charged by Mechanic B for the numbers of hours worked.

1 point

Mechanic A charges $8.00 more per hour than Mechanic B

Mechanic B charges $8.00 more per hour than Mechanic A

Mechanic A charges $52.00 more per hour than Mechanic B

Mechanic B charges $52.00 more per hour than Mechanic A

Cory drinks water from a bottle during a bike ride. The average amount of water, in ounces, in his water bottle can be represented by the equation y = -8x + 32, where y is the amount of water remaining after x hours. Based on the equation, what amount of water, in ounces, will remain in the bottle after Cory rides for 2 1/2 hours? *

1 point