1. To find the value of 1.2(y + 1), substitute y = 2 into the expression:
1.2(2 + 1) = 1.2(3) = 3.6
So the answer is not listed among the options provided.
2. Substitute n = 52 into the expression 74 + 12n:
74 + 12(52) = 74 + 624 = 698
So the answer is option B.
3. The word phrase for p / 3 is "the quotient of a number and 3". So the answer is option C.
4. The algebraic expression for the number of points scored in n games at 10 points per game is 10n. So the answer is option A.
5. To solve the equation x - 16 = 14, add 16 to both sides:
x = 14 + 16 = 30
So the answer is option A.
6. Since Jake scored about twice as many points as Willie, we need to set up an equation where Jake's score (22) is twice the number of points Willie scored (n):
2n = 22
By dividing both sides by 2, we find:
n = 11
So the answer is option C.
7. To solve the equation -13x = -78, divide both sides by -13:
x = -78 / -13 = 6
So the answer is option A.
8. To solve the equation r/7 = -8, multiply both sides by 7:
r = -8 * 7 = -56
So the answer is option A.
9. To find the number of cards Kenny had originally, we need to set up an equation: b - 82 = 159. By adding 82 to both sides:
b = 159 + 82 = 241
So the answer is option B.
10. To solve the equation 3x + 14 = 23, subtract 14 from both sides:
3x = 23 - 14 = 9
Then, divide both sides by 3:
x = 9 / 3 = 3
So the answer is option A.
11. To find a solution to the inequality x > 4, any value greater than 4 is a valid solution. Thus, option A (8) is correct.
12. The inequality that models the situation "The number n of people who attended the game was at least 50" is n ≥ 50. So the answer is option A.
13. To find a solution to the inequality x + 18 < -3, subtract 18 from both sides:
x < -3 - 18 = -21
So the answer is option A.
14. To solve the inequality 4z > -60, divide by 4 on both sides:
z > -60 / 4 = -15
So the answer is option D.
15. To find the number of cans collected in the second week, use the inequality 145 + c > 380. By subtracting 145 from both sides:
c > 380 - 145 = 235
So the answer is option B.
16. The equation representing the amount of fabric left is 10 * 5.8 = 238.2 - x. By solving for x:
58 = 238.2 - x
x = 238.2 - 58 = 180.2
So the costume designer has about 180.2 yards of fabric left.
17. Let's say the cost of each shrub is x dollars. Then the equation representing the total cost is 6x + 12.50 = 71. Solving for x:
6x = 71 - 12.50 = 58.50
x = 58.50 / 6 = 9.75
Therefore, each shrub costs $9.75.