Both sides of the given inequality can be divided by 3 to yield 2x − 3y > 4.

Choices A, C, and D are incorrect because they are not equivalent to (do not have the same solution set as) the given inequality. For example, the ordered pair (0, −1.5) is a solution to the given inequality, but it is not a solution to any of the inequalities in choices A, C, or D.

The equation 12d + 350 = 1,010 can be used to determine d, the number of dollars charged per month. Subtracting 350 from both sides of this equation yields 12d = 660, and then dividing both sides of the equation by 12 yields d = 55.

Choice A is incorrect. If d were equal to 25, the first 12 months would cost 350 + (12)(25) = 650 dollars, not $1,010. Choice B is incorrect. If d were equal to 35, the first 12 months would cost 350 + (12)(35) = 770 dollars, not $1,010. Choice C is incorrect. If d were equal to 45, the first 12 months would cost 350 + (12)(45) = 890 dollars, not $1,010.

The leftmost segment in choice A, which represents the first time period,shows that the snow accumulated at a certain rate; the middle segment, which represents the second time period, is horizontal, showing that the snow stopped accumulating; and the rightmost segment, which represents the third time period, is steeper than the first segment, indicating that the snow accumulated at a faster rate than it did during the first time period.

Choice B is incorrect. This graph shows snow accumulating faster during the first time period than during the third time period; however, the question says that the rate of snow accumulation in the third time period is higher than in the first time period. Choice C is incorrect. This graph shows snow accumulation increasing during the first time period, not accumulating during the second time period, and then decreasing during the third time period; however, the question says that no snow melted (accumulation did not decrease) during this time. Choice D is incorrect. This graph shows snow accumulating at a constant rate, not stopping for a period of time or accumulating at a faster rate during a third time period.

The lines shown on the graph give the positions of Paul and Mark during the race. At the start of the race, 0 seconds have elapsed, so the y-intercept of the line that represents Mark’s position during the race represents the number of yards Mark was from Paul’s position (at 0 yards) at the start of the race. Because the y-intercept of the line that represents Mark’s position is at the grid line that is halfway between 12 and 24, Mark had a head start of 18 yards.

Choices A, B, and D are incorrect. The y-intercept of the line that represents Mark’s position shows that he was 18 yards from Paul’s position at the start of the race, so he did not have a head start of 3, 12, or 24 yards.

The given expression (2x² − 4) − (−3x² + 2x − 7) can be rewritten as 2x² − 4 + 3x² − 2x + 7. Combining like terms yields 5x² − 2x + 3.

Choices B, C, and D are incorrect because they are the result of errors when applying the distributive property.

The correct answer is ⁵⁄₇. It is given that no contestant received the same score on two different days, so each of the contestants who received a score of 5 is represented in the “5 out of 5” column of the table exactly once. Therefore, the probability of selecting a contestant who received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days, is found by dividing the total number of contestants who received a score of 5 on Day 2 or Day 3 (2 + 3 = 5) by the total number of contestants who received a score of 5, which is given in the table as 7. So the probability is ⁵⁄₇​. Either 5/7 or .714 can be gridded as the correct answer.

The correct answer is 2.4. The mean score of the 20 contestants on
Day 1 is found by dividing the sum of the total scores of the contestants by the number of contestants. It is given that each contestant received 1 point for each correct answer. The table shows that on Day 1, 2 contestants each answered 5 questions correctly, so those 2 contestants scored 10 points in total (2 × 5 = 10). Similarly, the table shows 3 contestants each answered 4 questions correctly,
so those 3 contestants scored 12 points in total (3 × 4 = 12). Continuing these calculations reveals that the 4 contestants who answered 3 questions correctly scored 12 points in total (4 × 3 = 12); the 6 contestants who answered 2 questions correctly scored 12 points in total (6 × 2 = 12); the 2 contestants who answered
1 question correctly scored 2 points in total (2 × 1 = 2); and the 3 contestants who answered 0 questions correctly scored 0 points in total (3 × 0 = 0). Adding up the total of points scored by these 20 contestants gives 10 + 12 + 12 + 12 + 2 + 0 = 48. Therefore, the mean score of the contestants is  ​ = 2.4. Either 12/5, 2.4, or 2.40 can be gridded as the correct answer.

The correct answer is 6. Since tan B = ³⁄₄​, ΔABC and ΔDBE are both 3-4-5 triangles. This means that they are both similar to the right triangle with sides of lengths 3, 4, and 5. Since BC = 15, which is 3 times as long as the hypotenuse of the 3-4-5 triangle, the similarity ratio of ΔABC to the 3-4-5 triangle is 3:1. Therefore, the length of \(\overline{AC}\) (the side opposite to B) is 3 × 3 = 9, and the length of \(\overline{AB}\) (the side adjacent to angle B) is 4 × 3 = 12. It is also given that DA = 4. Since AB = DA + DB and AB = 12, it follows that DB = 8, which means that the similarity ratio of ΔDBE to the 3-4-5 triangle is 2:1 (\(\overline{DB}\) is the side adjacent to angle B). Therefore, the length of \(\overline{DE}\), which is the side opposite to angle B, is 3 × 2 = 6.

The correct answer is 0 or 3. For an ordered pair to satisfy a system of equations, both the x- and y-values of the ordered pair must satisfy each equation in the system. Both expressions on the right-hand side of the given equations are equal to y, therefore it follows that both expressions on the right-hand side of the equations are equal to each other: x² − 4x + 4 = 4 − x. This equation can be rewritten as x² − 3x = 0, and then through factoring, the equation becomes x(x − 3) = 0. Because the product of the two factors is equal to 0, it can be concluded that either x = 0 or x – 3 = 0, or rather, x = 0 or x = 3.

The correct answer is \(\frac{5}{18}\). There are 360° in a circle, and it is shown that the central angle of the shaded region is 100°. Therefore, the area of the shaded region can be represented as a fraction of the area of the entire circle,\(\frac{100}{360}\), which can be reduced to \(\frac{5}{18}\). Either 5/18, .277, or .288 can be gridded as the correct answer.