1. [2.01] If 8 = x and x = y, then 8 = y is an example of which algebraic property?
Symmetric Property
Transitive Property
Reflexive Property
Commutative Property of Multiplication
2. [2.01] 3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property?
Distributive Property
Associative Property of Addition
Commutative Property of Addition
Symmetric Property
3. [2.01] Solve: x âˆ’ 4 = âˆ’15
11
âˆ’11
19
âˆ’19
4. [2.01] Solve = 12
4
36
3
5. [2.02] Solve + 2 = 8
âˆ’20
20
12
âˆ’12
6. [2.02] Solve: âˆ’2(x âˆ’ 5) = âˆ’4
7
âˆ’7
âˆ’3
7. [2.02] Solve: 5x âˆ’ 10 + 12 = 22
4.8
4
20
5
8. [2.02] Solve: 4(x âˆ’ 1) âˆ’ (x + 6) = 2
zero
4
1
9. [2.03] Solve: âˆ’2(2x + 5) âˆ’ 3 = âˆ’3(x âˆ’ 1)
16
âˆ’16
âˆ’10
âˆ’13
10. [2.03] Solve: 2(x + 1) = 2x + 5
Any Real Number
No Solution
zero
3
11. [2.03] Solve: 7(x âˆ’ 1) = 5(x + 2) + 1
9
18
2
4
12. [2.05] The table below shows the ticket rates for whale watching trips offered by Ocean Tours.
Age Ticket Price
Under three years free
Three to twelve years $36
Over twelve years $48
On a certain day, the company took 92 people on whale watching trips. There were 40 children aged twelve and under, of which some children were under three years. If x represents the number of children undr three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day?
(92 - x)36 + (92 - 40) âˆ™ 48 = C
(40 + x)36 + (92 - (40 + x)) âˆ™ 48 = C
(92 + x)36 + (92 - (40 + x)) âˆ™ 48 = C
(40 - x)36 + (92 - 40) âˆ™ 48 = C
13. [2.05] The sum of two consecutive odd integers is 236. What is the smaller integer?
115
117
119
113
14. [2.05] In a certain county, the number of Charter Schools is six less than twice the number of Alternative Schools. We know that there are 52 Charter Schools in the county. How many Alternative Schools are in the county?
58
44
29
23
15. [2.05] Reggie is three less than four times his daughter's age. Reggie is 69; how old is his daughter?
10
18
12
20
16. [2.05] Currently, Sam's coach is twice as old as Sam. When Sam started soccer 10 years ago, his coach was 3 times his age. How old is Sam now?
20
10
30
15
17. [2.06] Solve the equation x + 2 = 22 for x.
40
20
48
10
18. [2.06] Solve the equation (x âˆ’ 2) = 4x for x.
9
19. [2.08] Solve for L: A = L â€¢ W â€¢ H
L =
L =
L =
L =
20. [2.08] The formula for degrees Celsius is: C = (F - 32), where F stands for degrees Fahrenheit.
Part 1: Solve the formula for F. Show all steps.
Part 2: Determine how many degrees Fahrenheit 8 degrees Celsius is.
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