Consider the equation -9(4x + 1) = 18(-2x - 9). A student’s final two steps when correctly solving the equation are shown. -36x - 9 = -36x - 162 -9 = -162 Which statement correctly interprets the student’s solution?

There is no solution to the equation since -9 = -162 is a false statement.

There are infinitely many solutions to the equation since -9 = -162 is a false statement.

The only solution to the equation is x = -9.

The only solution to the equation is the ordered pair (-9, -162).

Rectangle JKLM is rotated 90° counterclockwise about the origin to form rectangle J'K'L'M'. Which statement is true?

Line segment J'K' is 2 units long, and line segment J'M' is 2 units long.

Line segment J'K' is 2 units long, and line segment J'M' is 7 units long.

Line segment J'K' is 7 units long, and line segment J'M' is 2 units long.

Line segment J'K' is 7 units long, and line segment J'M' is 7 units long.

Right triangle PQR is formed by arranging three squares along its sides, as shown. Which statement must be true if angle PQR is a right angle?

The sum of the areas of squares X and Z is equal to the area of square Y.

The sum of the areas of squares Y and Z is equal to the area of square X.

The sum of the perimeters of squares X and Z is equal to the perimeter of square Y.

The sum of the perimeters of squares Y and Z is equal to the perimeter of square X.

Polygon 1 and polygon 2 are in different quadrants on the coordinate plane. If polygon 1 is congruent to polygon 2, which statement is true?

A. Polygon 1 can always be mapped onto polygon 2 by a series of reflections, rotations, and/or translations.

B. Polygon 1 can always be mapped onto polygon 2 by a series of rotations and translations only.

C. Polygon 1 can always be mapped onto polygon 2 by a single reflection only.

D. Polygon 1 can always be mapped onto polygon 2 by a single rotation only.

Consider the graph of the equation y = -5x that intercepts the y-axis at the origin. If a student creates a new line with the same slope as the original graph, and the new line intercepts the y-axis at (0, 4), which statement is true?

C. The new line’s equation should be written as y = -5x + 4.

A. The new line’s equation should be written as y = -9x.

B. The new line’s equation should be written as y = -5x - 4.

D. The new line’s equation should be written as y = -x.

A landscaper builds a triangular garden with side lengths of a feet, b feet, and c feet, where c is greater than a and b. Which statement is true?

The triangle will be a right triangle if c is equal to $$\sqrt{a^2 + b^2}$$ feet.

The triangle will be a right triangle if c is equal to (2a - 2b) feet.

The triangle will be a right triangle if c is equal to (2a + 2b) feet.

The triangle will be a right triangle if c is equal to $$\sqrt{a^2 - b^2}$$ feet.

Which statement about the equation y = -x - 2 is true?

B. The equation represents a linear function because when graphed on a coordinate plane, the graph will be a straight line.

A. The equation represents a linear function because when graphed on a coordinate plane, the graph will be a curve.

C. The equation represents a nonlinear function because when graphed on a coordinate plane, the graph will be a curve.

D. The equation represents a nonlinear function because when graphed on a coordinate plane, the graph will be a straight line.

Consider the graph of a function. Which two statements about the function are true? A. When x is between -8 and -6, the function is increasing. B. When x is between -6 and -4, the function is decreasing. C. When x is between -4 and -1, the function is linear. D. When x is between 3 and 6, the function is nonlinear. E. When x is between 6 and 8, the function is decreasing.

A. When x is between -8 and -6, the function is increasing.

B. When x is between -6 and -4, the function is decreasing.

C. When x is between -4 and -1, the function is linear.

D. When x is between 3 and 6, the function is nonlinear.

E. When x is between 6 and 8, the function is decreasing.

Triangle QRS is similar to triangle Q'R'S'. Which sequence of transformations maps triangle QRS onto triangle Q'R'S'?

a dilation of triangle QRS by a scale factor of 1/2 about the origin followed by a translation left 2 units

a dilation of triangle QRS by a scale factor of 1/2 about the origin followed by a translation left 5 units

a dilation of triangle QRS by a scale factor of 2 about the origin followed by a reflection across the x-axis

a dilation of triangle QRS by a scale factor of 2 about the origin followed by a reflection across the y-axis

The equation T = 13.75h represents the total cost, T, in dollars, of hiring Lawn Care Pro for h hours. Which statement is true?

A. The Lawn Doctor charges more than Lawn Care Pro by a rate of $4.65 per hour.

B. The Lawn Doctor charges more than Lawn Care Pro by a rate of $4.45 per hour.

C. Lawn Care Pro charges more than The Lawn Doctor by a rate of $4.65 per hour.

D. Lawn Care Pro charges more than The Lawn Doctor by a rate of $4.45 per hour.

If a student correctly makes a scatter plot of the data, which statement is true?

There is a negative, linear association.

There is a negative, nonlinear association.

There is not enough information to determine the association.

If trapezoid QRST is graphed on the coordinate plane and reflected across the y-axis to form trapezoid WXYZ, which two statements are true?

The measure of angle W is 90°.

The measure of angle X is 90°.

The measure of angle W is 117°.

The measure of angle X is 63°.

The measure of angle Z is 90°.

Consider trapezoid LMNP and trapezoid L'M'N'P'. Which sequence of transformations maps trapezoid LMNP onto trapezoid L'M'N'P' and proves the two trapezoids are congruent?

a translation 10 units right and a reflection across the x-axis

a translation 10 units down and a reflection across the y-axis

a reflection across the y-axis followed by a reflection across the x-axis

a 180° rotation about the origin followed by a translation 1 unit up

The vertices of triangle RST are located at R(−6, 4), S(−6, 2), and T(−2, 2). The triangle is rotated 270° counterclockwise about the origin to create triangle R′S′T′. What are the coordinates of triangle R′S′T′?

R′(6, 4), S′(6, 2), and T′(2, 2)

R′(−6, −4), S′(−6, −2), and T′(−2, −2)

R′(4, 6), S′(2, 6), and T′(2, 2)

R′(−4, 6), S′(−2, 6), and T′(−2, 2)

Which expressions are equivalent to $$5^9 · 5^{−3}$$ ?

Expression 1 and Expression 4 only

Expression 1, Expression 2, and Expression 4 only

Expression 2 and Expression 3 only

Expression 3 and Expression 4 only

Mastery View Predictive Assessments Grade 8 Math Quiz

44 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate volume of a sphere with a diameter of 2 inches? (Use 3.14 as an approximation of pi.)

4.2 cubic inches

12.6 cubic inches

25.1 cubic inches

33.5 cubic inches

2.

OPEN ENDED QUESTION

3 mins • 1 pt

A community leader records the total number of pickleball players in the community each year for 10 years, starting in 2010. Which scatter plot has the best linear model to represent the community leader’s data?

Evaluate responses using AI:

OFF

3.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Consider the three relations. Which statement is true?

Relation 1 and Relation 2 are not functions.

Relation 1 and Relation 3 are not functions.

Relation 1, Relation 2, and Relation 3 are all functions.

Relation 2 and Relation 3 are the only functions.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

point Q

point R

point S

point T

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For which list of ordered pairs is y a function of x?

(5, 2), (6, 3), (7, 2), (5, 1)

(3, 2), (3, 4), (5, 4), (6, 5)

(1, 2), (3, 4), (5, 6), (7, 8)

(1, 1), (2, 3), (1, 4), (4, 5)

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

In 2022, the population of New York City was approximately 8.622 × 10^6 people, and the population of Los Angeles was approximately 4.085 × 10^6 people. What is the difference between the two populations?

B. 1.26 × 10^13 people

D. 4.537 × 10^12 people

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which fraction is equivalent to 0.45?

4/9

5/11

5/9

6/11

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Mastery View Predictive Assessments Grade 8 Math

What is the approximate volume of a sphere with a diameter of 2 inches? (Use 3.14 as an approximation of pi.)

A community leader records the total number of pickleball players in the community each year for 10 years, starting in 2010. Which scatter plot has the best linear model to represent the community leader’s data?

Consider the three relations. Which statement is true?

For which list of ordered pairs is y a function of x?

In 2022, the population of New York City was approximately 8.622 × 10^6 people, and the population of Los Angeles was approximately 4.085 × 10^6 people. What is the difference between the two populations?

Which fraction is equivalent to 0.45?

There are approximately 50,000,000 students enrolled in kindergarten through grade 12 in the United States. What is this amount written in scientific notation?

Consider the two lines graphed on the coordinate plane, where each line represents an equation. Which ordered pair represents the solution to the system of equations?

Consider the linear function represented by the table. Based on the table, what is the rate of change of the linear function?

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