1. Which is an example of the Symmetric Property? (1 point)
if 3x + 2 = a + 6, then a + 6 = 3x + 2
if a = b and b = 5, then a = 5
if y = 6, then y + 12 becomes 6 + 12
x + 2 = x + 2
2. To properly use the Addition Property of Equality what number would have to be added in the equation, 14 = x – 6 ? (1 point)
–14
14
–6
6
3. The Reflexive Property of Equality says: (1 point)
for any numbers a and b, if a = b then b = a
for any numbers a, b, and c, if a = b then a – c = b – c
for any numbers a, b, and c, if a = b then a + c = b + c
for any number a, a = a
4. The equation y – 9 + 9 = –17 + 9 is an example of which property of equality? (1 point)
Substitution Property of Equality
Addition Property of Equality
Reflexive Property of Equality
Symmetric Property of Equality
5. Evaluate the expression 3x + (z + 2y) – 12, if x = 3, y = 8 and z = 5. (1 point)
–116
18
53
42
6. If a = 6, b = 3, and c = 7, evaluate the following expression:
start fraction 3 left parenthesis 4 a minus 3 c right parenthesis over c minus 4 end fraction (1 point)
84
147
3
one-third
7. Solve the equation 2x + 4 = 8. x = ? (1 point)
2
one-half
6
0
8. Find the solution to the equation x – 4 = 12. x = ? (1 point)
–8
–16
8
16
9. For which equation is the solution 6? (1 point)
x + 6 = 10
4x = 24
x – 6 = 12
xoverfourequals24
10. Solve:
explmathfinal_10 (1 point)
14
6
24
56
11. A doctor recommended that a patient take eight tablets on the first day and 4 tablets each day thereafter until the prescription was all used. The prescription contained 28 tablets. Use the equation 8 + 4d = 28 to find how many days Marcie will be taking pills after the first day. (1 point)
d = 5
d = 9
d = –9
d = –5
12. Order the following from least to greatest: {7, –11, 0, 10, –3} (1 point)
{0, –3, –11, 7,10}
{–11, 0, –3, 7, 10}
{–11, –3, 0, 7, 10}
{–3, –11, 0, 7, 10}
13. Add: |–20| + |3| (1 point)
17
60
23
–17
14. The Flower Bouquet flower shop charges $1.50 for placing an order and $0.50 for each flower ordered. Which equation could be used to find n,the number of flowers purchased if the total bill was $9. (1 point)
$9 = (0.50 + 1.50)n
0.50n + 1.50 = $9
$9 = 50n + 1.50
0.50 n + 1.50n = $9
15. The distance from City A to City B is 256.8 miles. The distance from City A to City C is 739.4 miles. How much farther is the trip to City C than the trip to City B? (1 point)
483.6 mi
583.5 mi
996.2 mi
482.6 mi
16. Multiply: –23 • –14 = (1 point)
322
–322
–37
37
17. Divide: –54 ÷ +9 = (1 point)
–486
+6
+486
–6
18. The absolute value of 14 is ?
|14| = ? (1 point)
–14
0
28
14
19. Which statement is not true? (1 point)
–6
0 > –1
–8
–6 > 6
20. Multiply: –13 • –5 = (1 point)
–65
–8
+65
+8
21. If the winning score in golf is the lowest number, what was the lowest score out of the integers: –2, +1, –5, +3, –2, –1, +4, 0, +1? (1 point)
–5
0
1
4
22. What is the sum of –3 and 4? (1 point)
7
–7
–1
1
23. Evaluate the expression –273 – (–576) = (1 point)
–849
303
–303
849
24. Divide:
start fraction negative 56 over 4 end fraction equals
(1 point)
14
–14
25. Evaluate the expression (2 – 19) + (–12) (1 point)
+33
–33
+29
–29
26. Solve: –2x = 22, x = ___ . (1 point)
–11
–44
+11
+20
27. Solve: 5 + 3x = –22, x = ___ . (1 point)
–9
explmathfinal_27
–81
+9
28. Solve: 5(x + 3) = 35, x = ____ . (1 point)
+10
–10
–4
+4
29. Find the median for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
30. Find first quartile for the set of data.
{80, 45, 32, 64, 22, 63, 45} (1 point)
32
64
50.14
48
31. Find the first quartile for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
32. Find the maximum for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
9.9
33. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21. (1 point)
8.5
8
20
14.1
34. If y varies directly with x and y = 2 when x = 15. Find x when y = 8. (1 point)
x = 60
x = 3.75
x = 240
x = 150
35. If y varies inversely with x, find the constant of variation with x = –40 and
y = 4. (1 point)
+10
–10
+160
–160
36. A certain project can be completed by 28 men in 90 days. The numbers of men needed varies inversely to the time needed to complete the project. If the contractor wants to complete the project in 72 days, how many men does he have to have working? (1 point)
30 men
270 men
35 men
28 men
37. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 95 kg on Earth weighs 38 kg on Mars. How much would a 100 kg person weigh on Mars? (1 point)
36.1 kg
40 kg
38 kg
41 kg
38. The money that a plumber makes varies directly with the number of hours he works. If he makes $125 in 5 hours, how much does he make in 8 hours? (1 point)
$200
$40
$78.12
$150
39. If you roll a red number cube (numbers 1–6), and a green number cube (number 1–6), how many possible combinations can you have? (1 point)
216
18
12
36
40. The multiple-choice part of an assignment has 4 possible choices for each of the 5 questions. How many possible ways can you answer the assignment? (1 point)
9
1,024
40
20
41. How many different squads of 5 players can be picked from 10 basketball players? (1 point)
252
30,240
50
120
42. Determining the number of seating arrangements with 10 people in 7 chairs requires use of ? (1 point)
combinations
permutations
probability
substitution
43. Determining the number of 3-person committees formed from a club with 12 members requires use of ? (1 point)
combinations
permutations
probability
substitution
44. Determining the number 5-card hands that can be drawn from a deck of 52 requires use of ? (1 point)
substitution
permutations
probability
combinations
45. Tyler has 5 shirts, 6 pairs of slacks, and 3 pair of shoes. If every shirt can be worn with any pair of slacks and any pair of shoes, how many outfits does Tyler have? (1 point)
14
33
90
21
46. How many committees of 2 people are possible from a group of 11? (1 point)
165
22
13
55
47. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability that you will draw a red marble when you pick one out? (1 point)
5over20
15 over 20
7 over 20
2over5
48. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability you will draw a red or blue marble? (1 point)
5over20
15 over 20
7 over 20
3over5
49. What is the probability of not rolling a 5 on a die? (1 point)
one-fifth
one-sixth
one-fourth
50. What is the probability of rolling a 7 on a die? (1 point)
one-fifth
one-sixth
0
1
wow couldn’t help a brother out lmao
yall come on I got so happy, THANKS FOR YOUR HELP IDOIT
1. The symmetric property is: if a = b, then b = a. The example that represents the symmetric property is if a = b and b = 5, then a = 5.
2. To use the addition property of equality, you would have to add 6 to the equation 14 = x - 6. Therefore, the answer is 6.
3. The reflexive property of equality says that for any number a, a = a. Therefore, the answer is for any number a, a = a.
4. The equation y - 9 + 9 = -17 + 9 is an example of the symmetric property of equality.
5. To evaluate the expression 3x + (z + 2y) - 12, we substitute x = 3, y = 8, and z = 5. Therefore, the answer is 3(3) + (5 + 2(8)) - 12 = 18.
6. If a = 6, b = 3, and c = 7, we can substitute these values into the expression (3(4a - 3c))/(c - 4). Therefore, the answer is (3(4(6) - 3(7)))/(7 - 4) = 84.
7. Solve the equation 2x + 4 = 8. The answer is x = 2.
8. Solve the equation x - 4 = 12. The answer is x = 16.
9. The equation in which the solution is 6 is x - 6 = 12.
10. Solve the expression 14. There is no equation or variable in this question, so the answer is simply 14.
11. To find how many days Marcie will be taking pills after the first day, we use the equation 8 + 4d = 28. Solving for d, we get d = 5.
12. The order from least to greatest is -11, -3, 0, 7, 10.
13. |(-20)| + |3| = 20 + 3 = 23.
14. The equation that could be used to find the number of flowers purchased if the total bill was $9 is 0.50n + 1.50 = $9.
15. The trip to City C is 739.4 - 256.8 = 482.6 miles farther than the trip to City B.
16. -23 * -14 = 322.
17. -54 ÷ 9 = -6.
18. |14| = 14.
19. The statement that is not true is -6 > 6.
20. -13 * -5 = 65.
21. The lowest score out of the given integers is -5.
22. The sum of -3 and 4 is 1.
23. -273 - (-576) = -273 + 576 = 303.
24. (-56) ÷ 4 = -14.
25. (2 - 19) + (-12) = -17 + (-12) = -29.
26. To solve the equation -2x = 22, divide both sides by -2. Therefore, x = -11.
27. To solve the equation 5 + 3x = -22, subtract 5 from both sides and then divide by 3. Therefore, x = -9.
28. To solve the equation 5(x + 3) = 35, divide both sides by 5 and then subtract 3 from both sides. Therefore, x = 4.
29. The median for the set of data {7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} is 7.1.
30. The first quartile for the set of data {80, 45, 32, 64, 22, 63, 45} is 32.
31. The first quartile for the set of data {7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} is 5.5.
32. The maximum for the set of data {7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} is 9.9.
33. The third quartile of the data set {11, 20, 17, 8, 8, 9, 20, 13, 21} is 20.
34. If y varies directly with x and y = 2 when x = 15, then the constant of variation is 2/15. To find x when y = 8, we set up the proportion: 2/15 = 8/x. Cross multiplying, we get 2x = 120, and solving for x, we get x = 60.
35. If y varies inversely with x, and x = -40 and y = 4, we can set up the equation xy = k, where k is the constant of variation. Plugging in the given values, we get -40 * 4 = k, which simplifies to -160 = k.
36. If the project can be completed by 28 men in 90 days, then the number of men needed varies inversely with the time needed to complete the project. To complete the project in 72 days, we set up the equation 28 * 90 = x * 72, where x is the number of men needed. Solving for x, we get x = 35.
37. If a person weighs 95 kg on Earth and 38 kg on Mars, the weight on Mars varies directly as the weight on Earth. To find how much a 100 kg person would weigh on Mars, we set up the proportion: 95/38 = 100/x. Cross multiplying, we get 95x = 3800, and solving for x, we get x = 40.
38. If a plumber makes $125 in 5 hours, the money he makes varies directly with the number of hours he works. To find how much he makes in 8 hours, we set up the proportion: 125/5 = x/8. Cross multiplying, we get 5x = 1000, and solving for x, we get x = $200.
39. If you roll a red
1. The example of the Symmetric Property is: if 3x + 2 = a + 6, then a + 6 = 3x + 2. This property states that if two quantities are equal, then they can be interchanged in an equation.
2. To properly use the Addition Property of Equality, you would have to add 6 to both sides of the equation. This property states that if you add the same number to both sides of an equation, the two sides will remain equal.
3. The Reflexive Property of Equality says that for any number a, a = a. This means that any number is equal to itself.
4. The equation y - 9 + 9 = -17 + 9 is an example of the Reflexive Property of Equality. This property states that any number is equal to itself.
5. To evaluate the expression 3x + (z + 2y) - 12, substitute the given values of x, y, and z into the expression: 3(3) + (5 + 2(8)) - 12. Simplify the expression: 9 + (5 + 16) - 12 = 9 + 21 - 12 = 18.
6. If a = 6, b = 3, and c = 7, to evaluate the expression (3(4a - 3c))/(c - 4), substitute the given values into the expression: (3(4(6) - 3(7)))/(7 - 4). Simplify the expression: (3(24 - 21))/(3) = (3(3))/(3) = 3.
7. To solve the equation 2x + 4 = 8, subtract 4 from both sides of the equation: 2x = 8 - 4 = 4. Then, divide both sides of the equation by 2 to solve for x: x = 4/2 = 2.
8. To find the solution to the equation x - 4 = 12, add 4 to both sides of the equation: x = 12 + 4 = 16.
9. The equation x + 6 = 10 has the solution x = 4. This equation shows that adding 6 to a number gives a result of 10.
10. To solve the equation, simplifying both sides of the equation: (6 - 2)^2 = 4^2. This simplifies to: 16 = 16.
So, the solution is 16.
11. To find how many days Marcie will be taking pills after the first day, solve the equation 8 + 4d = 28 for d. Subtract 8 from both sides of the equation: 4d = 28 - 8 = 20. Then, divide both sides of the equation by 4 to solve for d: d = 20/4 = 5. So, Marcie will be taking pills for 5 days after the first day.
12. To order the numbers from least to greatest, the correct order is {-11, -3, 0, 7, 10}.
13. To add the absolute values of -20 and 3, the sum is 20 + 3 = 23.
14. The equation that could be used to find the number of flowers purchased if the total bill was $9 is: $9 = (0.50 + 1.50)n. This equation represents the cost of the order and the cost per flower, with n representing the number of flowers purchased.
15. To find how much farther the trip to City C is than the trip to City B, subtract the distance from City A to City B (256.8 miles) from the distance from City A to City C (739.4 miles): 739.4 - 256.8 = 482.6 miles. So, the trip to City C is 482.6 miles farther than the trip to City B.
16. To multiply -23 and -14, simply multiply the two numbers: (-23) * (-14) = 322.
17. To divide -54 by +9, simply divide the two numbers: (-54) / (+9) = -6.
18. The absolute value of 14 is 14. The absolute value of a number represents the distance of the number from zero on a number line.
19. The statement "-6 > 6" is not true. This statement compares -6 and 6 and states that -6 is greater than 6, which is not correct.
20. To multiply -13 and -5, simply multiply the two numbers: (-13) * (-5) = 65.
21. To find the lowest score out of the given integers, compare the values and identify the smallest number, which in this case is -5.
22. To find the sum of -3 and 4, simply add the two numbers: (-3) + 4 = 1.
23. To evaluate the expression -273 - (-576), remember that subtracting a negative number is the same as adding a positive number. So, -273 - (-576) can be rewritten as -273 + 576. Now, subtract the two numbers: (-273) + 576 = 303.
24. To divide -56 by 4, simply divide the two numbers: (-56) / (4) = -14.
25. To evaluate the expression (2 - 19) + (-12), remember that subtracting a number is the same as adding its opposite. So, (2 - 19) + (-12) can be rewritten as (-17) + (-12). Now, add the two numbers: (-17) + (-12) = -29.
26. To solve the equation -2x = 22 for x, divide both sides of the equation by -2: x = 22 / (-2) = -11.
27. To solve the equation 5 + 3x = -22 for x, subtract 5 from both sides of the equation: 3x = -22 - 5 = -27. Then, divide both sides of the equation by 3 to solve for x: x = -27 / 3 = -9.
28. To solve the equation 5(x + 3) = 35 for x, divide both sides of the equation by 5: x + 3 = 35 / 5 = 7. Then, subtract 3 from both sides of the equation: x =
holy smoke! You expect someone to do all these questions for you?
#1. Symmetric Property: if a=b then b=a
now you do some ...