FREE MAP 8th Grade Math Questions and Answers

Question 1

When a figure is transformed using one of the following methods on a coordinate grid, which one does not preserve congruency?

Accepted Answer

A dilation by a scale factor of 0.5

Answer

Congruency means that two figures have the same size and shape. Reflections, rotations, and translations are isometric transformations, meaning they preserve both the size and shape of a figure, thus maintaining congruency. A dilation, however, changes the size of a figure by a given scale factor, either enlarging or shrinking it. Therefore, a dilation does not preserve congruency because the transformed figure will be a different size than the original.

Question 2

An engineer determined the length of a square cardboard diagonal in centimeters by solving the equation x2 = 140. Which of the following sums up the square's diagonal's approximate length in centimeters?

Accepted Answer

12

Answer

To find the length of the diagonal, we need to solve the equation x² = 140 by taking the square root of both sides, so x = √140. We know that 11² = 121 and 12² = 144. Since 140 is between 121 and 144, the square root of 140 will be between 11 and 12. As 140 is much closer to 144 than to 121, the approximate length of the diagonal is 12 centimeters.

Question 3

Jos puts $2,350 into two bank accounts for savings.

Every year, Account X offers 3.25% simple interest.
3.75% interest is compounded annually on Account Y.

Which amount, if Jos made no more deposits or withdrawals, would be closest to the difference between the interest Jos will receive in Account X and Account Y after three years?

Accepted Answer

$45.28

Answer

For Account X, simple interest is calculated as Principal × Rate × Time, so $2,350 × 0.0325 × 3 = $229.13. For Account Y, compound interest is calculated using the formula A = P(1+r)^t, which yields $2,350(1+0.0375)³ ≈ $2,624.40, meaning the interest earned is $2,624.40 - $2,350 = $274.40. The difference between the interest from Account Y and Account X is $274.40 - $229.13 = $45.27, which is closest to $45.28.

Question 4

On a coordinate grid, parallelogram XVUW was translated six units to the right and seven units down to produce parallelogram X'V'U'W. Which of the following rules best sums up this change?

Accepted Answer

(x,y) → (x + 6,y – 7)

Answer

A translation moves every point of a figure the same distance in the same direction. Moving a figure 'six units to the right' means adding 6 to the x-coordinate of each point. Moving a figure 'seven units down' means subtracting 7 from the y-coordinate of each point. Therefore, the rule that best describes this transformation is (x,y) → (x + 6, y – 7).

Question 5

A client requests a $15,000 loan so that he can remodel his house. Which of the following loan choices enables the borrower to make the lowest possible interest payment?

Accepted Answer

A 3-year loan with a 5.6% annual simple interest rate

Answer

To find the lowest possible interest payment, we calculate the simple interest for each loan option using the formula Interest = Principal × Rate × Time. For option A, the interest is $15,000 × 0.078 × 6 = $7,020. For option B, it's $15,000 × 0.048 × 5 = $3,600. For option C, it's $15,000 × 0.045 × 4 = $2,700. Finally, for option D, the interest is $15,000 × 0.056 × 3 = $2,520, which is the lowest among all choices.

MAP - Measurement of Academic Progress Practice Test

MAP - Measurement of Academic Progress Practice Test

FREE MAP 8th Grade Math Questions and Answers