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
3 answers
#1. Symmetric Property: if a=b then b=a
now you do some ...