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Laabri

CAASPP Grade 8 Math

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Last updated 13 days ago
78 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Enter the value of n for the equation

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2.

The distance (d) in meters a car travels in t seconds is shown in the table.

Graph the proportional relationship between the distance (d) traveled by a car and the time (t).

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

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7.

Select all possible values of x in the equation {x^3}=375.

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8.

Categorize each number as a rational or irrational number.

  • \frac{1}{\sqrt{9}}

  • \sqrt{17}

  • -1\frac{2}{3}

  • 0.423

  • Rational

  • Irrational

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9.

Consider the line shown on the graph.

Enter the equation of the line in the form y = mx where m is the slope.

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10.

This graph shows a proportional relationship between the distance traveled by Tim on a road trip and the number of hours for which he traveled.

Which statement identifies the correct slope and the correct interpretation of the slope of this situation?

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.

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11.

The initial height of the leaf is 18 feet.

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14.

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.

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15.

Which table of values can be defined by the funciton y=4x-2?

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16.

Rectangle ABCD is rotated by 90 degrees clockwise about the origin and then translated 3 units left and 2 units down to form A'B'C'D'.

What is the length, in units, of line segment A'B' in the resulting figure?

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17.

Steven claims that when you multiply two powers with the same base, the new exponent is the product of the original exponents. He uses the example below to support his claim.

Drag a number into each box to create an equation that shows Steven's claim is incorrect.

First blank:

Second blank:

Third blank:

Other answer choices:
4
1
5
3
6
0
2
7
8
9
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18.

David and Karen have a goal to read 10,000 pages together by the end of the summer.

David reads 80 pages every day.

Karen reads 25% more pages every day than David reads.

David and Karen agree that the model 180d = 10,000 will tell them how many days it will take them to read 10,000 pages, together, by the end of the summer.

They invite Rick to read with them to get to their goal faster. Rick reads 35% fewer pages per day than Karen.

Which equation can be used to find how many days it will take David, Karen, and Rick to read 10,000 pages, together, by the end of the summer?

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.

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19.

Parker's distance from home is increasing between minute 1 and minute 4.

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22.

Mary is buying tickets for a movie.

  • Each adult ticket costs $9.

  • Each child ticket costs $5.

  • Mary spends $110 on tickets.

  • Mary buys 14 total tickets.

Enter the total number of adult tickets and total number of child tickets she buys.

Adult tickets

Child tickets

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23.

Marco says that the interior angles of a triangle add up to 180\degree. He claims that the interior angles of a hexagon must add up to 360\degree 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?

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24.

Simone and Nang read a total of 23 books over the summer.

Simone read 5 more books than Nang.

Enter the number of books Nang read.

Given triangle ABC.

Select True or False for each statement about the sequences of transformations that can verify that triangle ABC is congruent to triangle A'B'C'.

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25.

Triangle ABC is reflected across the y-axis, followed by a reflection across the x-axis.

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28.

Parallel lines A and B are cut by a transversal line M, as shown in the diagram.

The measure of \angle 2 is less than the measure of \angle 4.

For each comparison, drag the symbol that makes the relationship between the first quantity and the second quantity true.

m\angle 1 m\angle 6

m\angle 3 + m\angle 5 m\angle 7 + m\angle 8

Other answer choices:

=

>

<

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29.

This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside.

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

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

y-intercept

slope

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30.

A cross section of a ramp is shown.

The length of the base is 45 inches and the height of the ramp is 28 inches.

Enter the length, x, of the ramp in inches.

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31.

Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0.

What must be the value of c for Jamal's statement to be true?

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32.

A cylinder with radius 3 feet and height 5 feet is shown.

Enter the volume of the cylinder, in cubic feet. Round your answer to the nearest hundredth.

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33.

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

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34.

The graph of x+y=-9 is shown.

Graph teh equation y=2x+3 on the same coordinate plane. Plot the solution to this system of linear equations.

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35.

A biologist tracks the number of bacteria living in a water tank. The biologist used a function that represents the amount of a certain chemical solution that is added to the water.

  • When the water has no chemicals, the number of bacteria (b) is 1200 per gallon.

  • For each tablespoon of the chemical solution (c) added to each gallon of water, the number of bacteria decreases by 75 per gallon.

How much of the chemical, in tablespoons, must be added to a 500-gallon tank to reduce the bacteria count to a safe 300 bacteria per gallon?

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36.

Samantha gathered the following information on a given day at the dog park.

  • There are 32 dogs playing at the dog park.

  • 15 of the dogs are puppies.

  • 11 of the dogs are not puppies and have long hair.

  • There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

Dogs with Long Hair (Dogs That are Puppies)

Dogs with Long Hair (Dogs That are Not Puppies)

Dogs with Long Hair (Total)

Dogs That Do Not Have Long Hair (Dogs That are Puppies)

Dogs That Do Not Have Long Hair (Dogs That are Not Puppies)

Dogs That Do Not Have Long Hair (Total)

Total (Dogs That are Puppies)

Total (Dogs That are Not Puppies)

Total (Total)

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37.

Enter the y coordinate of the solution of this system of equations.

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38.

The ratios a:b and b:c are equivalent to one another. Select all the statements that must be true.

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39.

A cone with radius 6 feet and height 15 feet is shown.

Enter the volume, in cubic feet, of the cone. Round your answer to the nearest hundredth.

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40.

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.

Fill in the blanks to complete the table to show the number of students in each grade. Enter your answers in the table.

1st:

2nd:

3rd:

4th:

5th:

Asemmisa {{asɛmmisaAhyɛnsode}}
41.

This table shows some values of a linear function.

x

y

−6

2

−2

0

2

−2

Determine whether the following ordered pairs are also solutions to the linear function.

True

False

(0, −1)

(2, 0)

(6, −2)

(−4, 2)

Students at City Middle School will rent a popcorn machine for a school

event. The event will last 6 hours. Two companies rent popcorn

machines.

Company A charges $10 per delivery and $6 per hour.

For Company B, the linear relationship between hours and cost is

shown in the table.

English glossary :

rent: pay money to borrow

rent: charge money to let others borrow

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42.

What is the cost, in dollars, to rent the machine from Company A for 6 hours?

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43.

What is the cost, in dollars, to rent the machine from Company B for 6 hours?

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44.

Select all the statements that must be true.

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45.

The Pythagorean Theorem states that when given a right triangle with legs $a$, $b$, and hypotenuse $c$, then $a^2 + b^2 = c^2$.

Use the diagram and determine which equations can be used to solve for $x$. Select Yes if the equation can be used and No if it cannot be used to solve for $x$.

Right triangle with legs 6 and x, and hypotenuse 10

Yes

No

$6^2 + 10^2 = x^2$

$6^2 + x^2 = 10^2$

$6^2 - x^2 = 10^2$

$10^2 - 6^2 = x^2$

$6 + x = 10$

$x = 10 - 6$

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46.

An expression is shown.

$j^2 \left( \dfrac{k^6}{k^4 k^3} \right)^{-3}$

Martha evaluates the expression using these steps:

Step 1: $j^2 \left( \dfrac{k^6}{k^7} \right)^{-3}$

Step 2: $j^2 (k^{-1})^{-3}$

Step 3: $j^2 k^{-4}$

Martha made a mistake. In which step did Martha first make a mistake, and what is a correct expression for that step?

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47.

Given the equation $x^{2} = n$, Kiki claims that $n$ will always be greater than $x$.

Enter a value for $x$ that shows this claim is not always true.

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48.

Two students analyzed the system of linear equations shown.

$y = -\dfrac{4}{3}x - 6$

$3y = -4x - 18$

• Michael claims there is no solution to the system because the equations are equivalent.

• Dan claims there is no solution to the system because the equations are represented by lines with the same slope.

Based on the students' claims, which statement is true?

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49.

Zane claims that every equation has exactly one solution.

Select all equations that disprove Zane’s claim.

English glossary :

disprove: show that (something) is false or wrong

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50.

Trapezoid A and trapezoid B are shown on the coordinate grid.

Coordinate grid showing trapezoid A in the first quadrant and trapezoid B in the third quadrant.

Describe three basic transformations on trapezoid A which show trapezoid B is similar to trapezoid A. In your response, be sure to identify the transformations in the order they would be performed.

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51.

Malik claims that any equation with a single variable will always have exactly one solution.

Enter an equation with a single variable that has infinitely many solutions to prove Malik’s claim is false.

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52.

Tom has added this graph to his daily riding notebook.

Graph titled Bike Riding Log showing distance from home over time.

What could Tom have been doing between minutes 15 and 25?

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53.

What is the distance between points $(-3,-4)$ and $(3,4)$ on the coordinate plane?

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54.

The table of values represents a linear function.

x

y

$-3$

$9$

$3$

$-1$

$9$

$-11$

Enter an equation in the form $y = mx + b$ that represents the function.

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55.

Consider the line shown on the graph.


Coordinate plane with a downward sloping line
Enter the equation of the line in the form $y = mx$ where $m$ is the slope.

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56.

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

Rational

Irrational

$4.\overline{3}$

$1\dfrac{3}{17}$

$\sqrt{\dfrac{1}{4}}$

$-\sqrt{36}$

$\dfrac{1}{\pi}$

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57.

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

Number of Boxes Loaded

Time (minutes)

64

4

112

7

192

12

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

English glossary :
Movers: people who help move others' things from one home to another
load: put things in
loaded: put

True

False

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.

The initial number of boxes in the truck is 350.

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58.

Select all the descriptions that can be modeled by the equation $y = 4x + 15$.

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59.

This graph represents a linear function.
Graph of a linear function on a coordinate grid
Select the equation represented by the graph.

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60.

This table of values represents a linear function.

x

y

5

0

10

1

15

2

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

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61.

Select all the descriptions that can be modeled by the equation $y=12x+18$.

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62.

Consider this figure.
Coordinate grid showing triangle ABC in the second quadrant and triangle A'B'C' in the fourth quadrant.
Consider the statements shown in the table. Select True or False for each statement about the sequences of transformations that can verify Triangle $\triangle ABC$ is congruent to Triangle $\triangle A'B'C'$.

True

False

$\triangle ABC$ is reflected across the $y$-axis, followed by a translation 9 units down.

$\triangle ABC$ is translated 8 units to the right, followed by a translation 9 units down.

$\triangle ABC$ is translated 9 units down, followed by a translation 8 units to the right.

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63.

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

True

False

$\dfrac{10}{20} > \dfrac{1}{\sqrt{2}}$

$\sqrt{35} < 6$

$\dfrac{\pi}{2} > 1.7$

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64.

Hair grows at a rate of approximately $1.75 \times 10^{-3}$ centimeters per hour. About how many centimeters will hair grow in one day?

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65.

A cone with a base that has a radius of 5 feet is shown. Its volume is 261 cubic feet.


Cone with radius 5 feet and height h

Enter the height $h$, in feet, of this cone. Round your answer to the nearest hundredth.

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66.

Look at this sphere.


Sphere with radius r = 2.5 cm
Which measurement is closest to the volume of this sphere?

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67.

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.

Scatter plot titled 'Weekly Reading vs. Reading Test Score' showing reading test scores versus hours spent reading per week.

True

False

There is a positive association between hours spent reading and the end of the year test score.

The less time spent reading, the higher the test score.

The data point at $(1, 40)$ is an outlier.

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68.

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 first response box.

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

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69.

A coordinate plane is shown with labeled points.

Coordinate plane with points A and B

What is the distance between point A and point B on the coordinate plane?

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70.

The equation $y = 4x - 3$ and the table shown represent different linear functions.

$x$

$y$

1

-5

2

-10

3

-15


Enter the difference between the rates of change for these two functions.

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71.

Select all expressions equivalent to $\left(\dfrac{3}{3^{4}}\right)^{-2}$.

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72.

Select all equations that have no solution.

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73.

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

True

False

$2\pi < 7$

$\sqrt{5} < 2$

$2 < \sqrt{3}$

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74.

Which of the following relations represent functions? Select all that apply.

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75.

Which value is equivalent to $(2 \times 10^5)(8 \times 10^7)$?

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76.

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.

Scatter plot titled Theater Sales showing bags of popcorn purchased on the x-axis and beverages purchased on the y-axis, with a line of best fit.

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.

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77.

A system of two linear equations has no solution. One equation is $2x - y = 4$. Select the equation that would make this system have no solution.

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78.

A right cylinder with a base that has a radius of $3$ feet is shown. Its volume is $250$ cubic feet.

Right cylinder with radius 3 feet and height h

Enter the height $(h)$, in feet, of this cylinder. Round your answer to the nearest hundredth.

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3.

\sqrt{37}<5\frac{1}{4}

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4.

3\pi>3\sqrt{3}

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5.

\sqrt{5}>\frac{5}{7}

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6.

\frac{15}{\sqrt{10}}>8.38

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12.

The leaf falls at a rate of \frac{2}{5} foot every 1 second.

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13.

The leaf is 3 feet above the ground after 6 seconds.

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20.

Parker's distance from home is constant between minute 6 and minute 7.

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21.

Parker's distance from home is increasing between minute 12 and minute 14.

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26.

Triangle ABC is reflected across the x-axis, followed by a reflection across the y-axis.

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27.

Triangle ABC is reflected across the y-axis, followed by a translation 6 units down.