Vocab
3(x + 7) < x + 15
x < -3
-9 > -1/3x + 6
x > 45
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?
1.50x + 4 ≤ 25
x ≤ 14 rides
4b - 2(b - 8) ≥ -19 + 7b
b ≤ 7
−3.1n + 2.9n ≥ 0.44
n ≤ −2.2
The eighth grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000?
15x - 700 ≥ 1000
x ≥ 114
3(3z - 4) +5 > 4z + 5(z + 2)
No Solution
3/5x - 3 ≤ 3/10x - 9
x ≤ -20
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets.
500 - 25x ≥ 200
x ≤ 12
20 - (-4r - 14) ≤ 7r - (3r - 42)
All Real Numbers
-6x - 3 + 4x > -15
x < 6
3.28x - 1.6 > 16.88 + 0.2x
x > 6
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
0.75x + 3 ≥ 12
x ≥ 12
25 -2x + 4(3x - 2) < 18x - 4(2x - 4) + 5
All Real Numbers
8 < 2( -4x + 12)
x < 4
10.9x + 70.04 ≥ 4.5(4.6x - 13.4)
x ≤ 13.3
Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. How many times would Tom need to rent the court in order for it be cheaper to be a member than a non-member?
135 + 2x ≤ 11x
x ≥ 15