1.

The Correct Answer is (B) — If 5x = 5, then we know that x = 1. Plug this value in for x in x + y = 5, and we can find that y=4. The correct answer choice is B.

2.

The Correct Answer is (C) — If 2m = 3, then we know that 4m = 6. Substitute 6 in for 4m in the second equation and we have 6 + n = y. The correct answer choice is C.

3.

The Correct Answer is (C) — Notice that the two graphs intersect in the first quadrant, where both the x and y values are positive. We also know that the value of x is greater than y at the intersection, so the correct answer choice must be C.

4.

The Correct Answer is (A) — If bullets travel at least 10 times the speed of an average arrow, then we can express this as x ≥ 250×10 ≥ = 2500. Since we know the speed of the fastest bullet, we can express a given bullet’s speed as 2500 ≤ x ≤ 4100, choice A.

5.

The Correct Answer is (C) — According to the first equation, x > 12, so choices A and B are eliminated. Using the second equation, we can also find that x ≤ 13. Combined, we know that x must be greater than 12, but less than or equal to 13, so the correct answer choice is C.

6.

The Correct Answer is (B) — If Victoria sells all her items for $15 each, and she must make at least $800, we can express this relationship as 15x ≥ 800. The correct answer choice is B.

7.

The Correct Answer is (C) — In order for Victoria to make at least $800, she must sell at least 800/15 number of items, which is 53.33, so the correct answer is 54 items, choice C.

8.

The Correct Answer is (5) — We can solve for p and q using elimination method. Multiply the second equation by 2 on both sides to get 8p + 2q = 10, and add this to the first equation to eliminate q: . Insert p = 2 into either of the original equations to find q, which equals -3. The question asks for p - q, so 2 - (-3) = 5.

9.

The Correct Answer is (5&lt;x&lt;6) — If we simplify the first equation, we know that x>5. Simplify the second equation, we can to find that x<6. Therefore, 5 < x < 6, so any value of x within this range (i.e., 5.1, 5.9) will suffice as a correct answer.

10.

The Correct Answer is (10) — In order to solve this problem, we need to first set up the relationship between dogs and puppies based on the information provided. Since the total number of puppies and dogs sold equals 15, we can express this relationship as p+d=15. Similarly, since puppies are sold for $400 and dogs for $300, we can set up the total amount collected as 400p+300d=5000. By multiplying the first equation by 400 and then using elimination by subtraction, we can find that 400p + 300d - 400p - 400d = 5000-6000 → -100d = -1000 → d=10.