The Real Number System
Name all the groups the following number belongs to:
3
Natural, whole, integer, rational
Simplify the following expression:
3x - 9 +2x + 3
5x - 6
9a - 2 = -65
6(8 - 3x) - (2x + 1) = 107
x = -3
Blair deposited $60 into her bank account. Every week she deposits $25 more. How many weeks will it take Blaire to accumulate $335?
11 weeks
To what group does the square root of 49 belong?
Natural, whole, integer, rational
Simplify the following expression:
2x + 5y - y + 17x + 7
19x + 4y + 7
8 = 23 - 5w
w = 3
2(4v - 9) - (3v - 11) = -52
v = -9
Paul rents a car for 1 day. It costs him $35 plus 0.35 per mile. Paul only has $134.75. How many miles can he drive?
285 miles
To which group does 3 x pi belong?
Irrational
Simplify the following expression:
4b - 3c + 1.5 + 7a - 2a - b + 2.5
5a + 3b - 3c + 4
0.4x + 9 = 11
x = 5
4(k - 2) = 2(k - 9)
k = -5
Chris' monthly phone bill is made up of a $45 plus $0.12 per minute. His phone bill this month was $73.56. How many minutes did Chris talk on his phone this month?
238 minutes
Which group does the solution belong to?
2.5x + 3 = 7
-4x(3 - 2) + 5y(2 + 7) - 2y + 13
-4x + 43y + 13
-18 = -10 - 1.5m
m = 5.3333333333333......
2(3v - 5) = 2(v - 11) - 4
v = -4
Gym A charges a yearly fee of $325 plus $25 for each session with a personal trainer. Gym B charges an annual fee of $85 plus $65 for each personal training session. For how many sessions is the cost of the two gyms the same?
6 sessions
To which groups does the solution belong:
3(x - 3) = -30
Rational, integer
23x - 28y - 69
(1/3)m - 16 = -1
m = 45
-3(3m - 10) - 7 = -5(m + 1) + 3m
m = 4
For the 8th graders to go to Kings Dominion, they can either buy a membership for $105 and a ticket for each visit for $25, or they can pay no membership fee, but pay $60 a ticket for each visit. How many times would an 8th grader need to visit Kings Dominion throughout the season to make the cost of being a member and a non-member equal?
3 visits