Math 8 MVPA Asst 2 (2023-24)

Which graph represents a nonlinear function of x?

• Graph A

• Graph B

Triangle PQR has vertices located at P(3, 2), Q(2, -1), and R(5, 0). If triangle PQR is reflected across the y-axis to form triangle LMN, what are the coordinates of the vertices of triangle LMN?

• L(-3, -2), M(-2, 1), and N(-5, 0)

• L(-3, 2), M(-2, -1), and N(-5, 0)

• L(3, -2), M(2, 1), and N(5, 0)

• L(3, 2), M(2, 1), and N(5, 0)

Consider parallelograms 1 and 2. Which sequence of transformations maps parallelogram 1 onto parallelogram 2 and proves the two parallelograms are congruent?

• a 90° counterclockwise rotation about the origin followed by a reflection across the x-axis

• a 180° counterclockwise rotation about the origin followed by a translation 3 units right

• a reflection across the x-axis followed by a 180° clockwise rotation about the origin

• a reflection across the y-axis followed by a 90° clockwise rotation about the origin

A system of two linear equations is graphed on the coordinate plane and has exactly one intersection point. What does that intersection point represent?

• infinitely many solutions

• no solution

• the only (x, y) pair that is a solution to only one of the equations

• the only (x, y) pair that is a solution to both equations

Consider the graph of a function. Which statement is true?

• A. The graph represents a linear function because the graph intersects both axes.

• B. The graph represents a linear function because the graph is a curve.

• C. The graph represents a nonlinear function because the graph does not intersect the origin.

• D. The graph represents a nonlinear function because the graph is not a straight line.

A customer pays $6.99 for each bottle of handsoap and a one time $5.00 charge for shipping. Which equation can be used to find y, the total amount the customer pays for purchasing x bottles of hand soap with shipping?

• y = 6.99x + 5

• y = 6.99x - 5

• y = 5x + 6.99

• y = 5x - 6.99

In which table is y a linear function of x?

• A

• B

• C

• D

Two childcare services charge different rates for babysitting duties. Babysitter Plus charges a $32 registration fee and $20 for each hour of babysitting. We Care charges $23 for each hour of babysitting. What is the minimum number of hours of babysitting when We Care costs more than Babysitter Plus?

• 9 hours

• 10 hours

• 11 hours

• 12 hours

Consider the trapezoids on the coordinate plane. Which two sequences of transformations map trapezoid FGHJ onto trapezoid F'G'H'J' and prove the two trapezoids are similar?

• a 90° clockwise rotation about the origin followed by a dilation about the origin by a scale factor of 1/3

• a 90° clockwise rotation about the origin followed by a dilation about the origin by a scale factor of 3

• a 90° counterclockwise rotation about the origin followed by a dilation about the origin by a scale factor of 3

• a 270° clockwise rotation about the origin followed by a dilation about the origin by a scale factor of 1/3

• a 270° counterclockwise rotation about the origin followed by a dilation about the origin by a scale factor of 3

Which statement about the equation 3(4x - 10) = gx - 30 + 2x is true?

• If g = 10, the equation has infinitely many solutions.

• If g = 10, the equation has no solution.

• If g = 12, the equation has no solution.

• If g = 14, the equation has infinitely many solutions.