8th Grade ILEARN Released Item Repository (2024-2025)

Required

4

Select True or False to indicate whether each comparison is true.

Required

10

Determine for each number whether it is a rational or irrational number.

Required

1

Enter the value of n for the following equation.

n=_______

Required

1

The value of \sqrt{40} is between two consecutive whole numbers.
 
Complete the inequality to show the two whole numbers.
 _______ </sqrt{40}<_______  

Required

1

Determine for each number whether it is a rational or irrational number.

Required

1

Enter the value of n for the equation 5n=511 . 53

n=_______ 

Required

1

Select all expressions equivalent to the following:

Required

1

Which table of values can be defined by the following function?

Required

1

Sally is solving the linear equation 13+4x-9=7x+7-3x. Her final two steps are:

4+4x=4x+7

4=7

Select the statement that correctly interprets Sally's solution.

Required

1

y-intercept _______ 

slope _______ 

Required

1

Select all the equations that can be represented by a straight line when graphed on the coordinate plane.

Required

1

Which of these graphs could be used to find the solution for the following system of equations? 2y = x + 2
x + 2y = 6

Required

1

There are a total of 500 students in grades 1 through 5 in an elementary school.

17% of the total number of students are in 1st grade.
19% of the total number of students are in 4th grade.
The number of 3rd-grade students is 9 less than the number of 4th-grade students.
The number of 2nd-grade students is 10 less than the number of 5th-grade students.
Complete the table to show the number of students in each grade. Enter your answers in the table.

   Elementary School Students        
     Grade  |   Number of Students  
         1st              _______ 
         2nd            _______  
         3rd             _______ 
         4th             _______ 
         5th             _______ 

Required

1

Select whether each equation has no solution, one solution, or infinitely many solutions.

Required

1

Which graph shows a zero rate of change?

Required

1

Which table represents a linear function?

Required

1

Brian and Tim both ride their bikes at a constant speed and leave from the same location. Brian's ride times are shown in the table.

Tim rides faster than Brian.

Which graph could represent Tim's bike ride?

Required

1

Mark recorded the diameter of the same tree trunk every year for 10 years. He modeled the data with the equation shown, where d is the diameter, in inches, of the tree trunk after y years.

d=0.47y+0.25

According to the model, which statement about the tree trunk is true?

Required

1

A linear function contains the three ordered pairs shown in the table.

Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table.
Make sure to use n and g as your variables.

Required

1

Select True or False to indicate whether each comparison is true.

Required

1

This table of values represents a linear function.

Enter an equation in the form y=mx+b that represents the function defined by this table of values.

Required

1

This scatter plot shows the relationship between the number of grams of fat and the number of calories in various sandwiches served at a restaurant. 


The y-intercept of the estimated line of best fit is at (0, b). Enter the approximate value of b in the response box below.
_______ 

Enter the approximate slope of the estimated line of best fit in the response box below.
_______ 

Required

1

Select all equations that have no solution.

Required

1

The graph shows Parker's distance from home over time.

Based on the graph, determine whether each statement is true. Select True or False for each statement.

	True	False
Parker's distance from home is increasing between minute 1 and minute 4.
Parker's distance from home is constant between minute 6 and minute 7.
Parker's distance from home is increasing between minute 12 and minute 14.

Required

1

A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.

Determine whether each statement about the leaf is true. Select True or False for each statement.

Required

1

The scatter plot shows the relationship between the number of hours spent reading per week and the end of the year reading test score for 9 different students. Select True or False for each statement based on the scatter plot.

	True	False
There is a positive association between hours spent reading and the end of the year test score.
The less time spend reading, the higher the test score.
The data point at (1,40) is an outlier.

Required

1

Marco says that the interior angles of a triangle add up to 180 degrees. He claims that the interior angles of a hexagon must add up to 360 degrees because a hexagon has twice as many vertices as a triangle and can be divided into two triangles. Therefore, its interior angles must sum to twice the value of those of a triangle.

Which statement, if any, explains Marco's error?

Required

1

A lock has a 5-digit combination. The range for each digit is 0 to 9. The digits may repeat.

How many different combinations are possible for this lock?

Required

1

A moving truck holds a total of 350 boxes. Movers load the truck at the rate shown in the table.

Determine whether each statement about the number of boxes in the truck is true. Select True or False for each statement.

	True	False
The initial number of boxes in the truck is 350.
The number of boxes loaded into the truck increases by 16 boxes every 1 minute.
The truck is completely full of boxes in less than 20 minutes.

Required

1

The sum of the first n positive odd numbers equal n2.

What is the sum of the first 847 positive odd numbers?

Required

1

The scatter plot shows the relationship between the number of beverages purchased and the number of bags of popcorn purchased for each movie at a theater. The line of best fit is shown on the graph.

Select True or False for each statement based on the graph.

	True	False
The line of best fit provides a good estimate of the number of beverages purchased based on the number of bags of popcorn purchased.
There is a positive association between the number of beverages purchased and the number of bags of popcorn purchased.
The association between the number of beverages purchased and the number of bags of popcorn purchased is nonlinear.

Required

1

_______centimeters

Required

1

A scatter plot is shown with two sets of data.

Select one or more than one box per column/row.

Select the statements that are true for each set of data.

Required

1

An equation is given.

2(x+10)=4(2x+8)

What is the solution to the equation?

Required

1

Which situation could be modeled by the linear equation y=2x+20?

1

What is the volume, to the nearest cubic inch, of a cone with a height of 21 inches and a radius of 5 inches?
 
_______cubic inches 

Required

1

_______feet 

	No solution	One Solution	Infinitely many solutions
7x+10=7x+10
4x=4x+3
5x+3=2x-3
2x+8=3+2x

	True	False
The initial height of the leaf is 18 feet.
The leaf falls at a rate of 2/5 foot every 1 second.
The leaf is 3 feet about the ground after 6 seconds.

	Data Set A	Data Set B
negative association
positive association
linear association
contains an outlier

	Rational	Irrational



0.423

	Rational	Irrational

Select True or False to indicate whether each comparison is true.

Determine for each number whether it is a rational or irrational number.

Determine for each number whether it is a rational or irrational number.

Select all expressions equivalent to the following:

Which table of values can be defined by the following function?

Sally is solving the linear equation 13+4x-9=7x+7-3x. Her final two steps are:4+4x=4x+74=7 Select the statement that correctly interprets Sally's solution.

Select all the equations that can be represented by a straight line when graphed on the coordinate plane.

Which of these graphs could be used to find the solution for the following system of equations? 2y = x + 2 x + 2y = 6

Select whether each equation has no solution, one solution, or infinitely many solutions.

Which graph shows a zero rate of change?

Which table represents a linear function?

Brian and Tim both ride their bikes at a constant speed and leave from the same location. Brian's ride times are shown in the table.Tim rides faster than Brian.Which graph could represent Tim's bike ride?

Mark recorded the diameter of the same tree trunk every year for 10 years. He modeled the data with the equation shown, where d is the diameter, in inches, of the tree trunk after y years. d=0.47y+0.25 According to the model, which statement about the tree trunk is true?

A linear function contains the three ordered pairs shown in the table. Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table. Make sure to use n and g as your variables.

Select True or False to indicate whether each comparison is true.

This table of values represents a linear function.Enter an equation in the form y=mx+b that represents the function defined by this table of values.

Select all equations that have no solution.

The graph shows Parker's distance from home over time.Based on the graph, determine whether each statement is true. Select True or False for each statement.

A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.Determine whether each statement about the leaf is true. Select True or False for each statement.

The scatter plot shows the relationship between the number of hours spent reading per week and the end of the year reading test score for 9 different students. Select True or False for each statement based on the scatter plot.

A lock has a 5-digit combination. The range for each digit is 0 to 9. The digits may repeat.How many different combinations are possible for this lock?

A moving truck holds a total of 350 boxes. Movers load the truck at the rate shown in the table.Determine whether each statement about the number of boxes in the truck is true. Select True or False for each statement.

The sum of the first n positive odd numbers equal n2.What is the sum of the first 847 positive odd numbers?

The scatter plot shows the relationship between the number of beverages purchased and the number of bags of popcorn purchased for each movie at a theater. The line of best fit is shown on the graph.Select True or False for each statement based on the graph.

A scatter plot is shown with two sets of data.Select one or more than one box per column/row.Select the statements that are true for each set of data.

An equation is given.2(x+10)=4(2x+8) What is the solution to the equation?

Which situation could be modeled by the linear equation y=2x+20?

Sally is solving the linear equation 13+4x-9=7x+7-3x. Her final two steps are:

4+4x=4x+7

4=7

Select the statement that correctly interprets Sally's solution.

Which of these graphs could be used to find the solution for the following system of equations? 2y = x + 2
x + 2y = 6

Brian and Tim both ride their bikes at a constant speed and leave from the same location. Brian's ride times are shown in the table.

Tim rides faster than Brian.

Which graph could represent Tim's bike ride?

Mark recorded the diameter of the same tree trunk every year for 10 years. He modeled the data with the equation shown, where d is the diameter, in inches, of the tree trunk after y years.

d=0.47y+0.25

According to the model, which statement about the tree trunk is true?

A linear function contains the three ordered pairs shown in the table.

Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table.
Make sure to use n and g as your variables.

This table of values represents a linear function.

Enter an equation in the form y=mx+b that represents the function defined by this table of values.

The graph shows Parker's distance from home over time.

Based on the graph, determine whether each statement is true. Select True or False for each statement.

A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.

Determine whether each statement about the leaf is true. Select True or False for each statement.

A lock has a 5-digit combination. The range for each digit is 0 to 9. The digits may repeat.

How many different combinations are possible for this lock?

A moving truck holds a total of 350 boxes. Movers load the truck at the rate shown in the table.

Determine whether each statement about the number of boxes in the truck is true. Select True or False for each statement.

The sum of the first n positive odd numbers equal n2.

What is the sum of the first 847 positive odd numbers?

The scatter plot shows the relationship between the number of beverages purchased and the number of bags of popcorn purchased for each movie at a theater. The line of best fit is shown on the graph.

Select True or False for each statement based on the graph.

A scatter plot is shown with two sets of data.

Select one or more than one box per column/row.

Select the statements that are true for each set of data.

An equation is given.

2(x+10)=4(2x+8)

What is the solution to the equation?