CLT & Distributing
5x - 3(x + 7) - 18
2x - 39
0.5(12x - 36) + 4x = -8
x = 1
4x - 8 < 2x + 8
x < 8
Johnathan wants to spend exactly $100 at mall. He wants to buy a hoodie for $56 and then some shirts that are $11 each. Set up and equation and determine how many shirts Johnathan will buy?
4 shirts
Jacob has $1,240 in his account. He spends $15 per day, how many days until he has less than $700 in his account?
After 36 days he will have less than $700
5(x + 3) - 2x + 8x
11x + 15
5(3x - 40) = -0.5(400 - 30x)
x < 2x - 8
x > 8
0.8(14x - 1.5) - 0.7(16x - 40)
26.8
15(x - 4) + 10x = 3(3x - 15) - 15
x = 0
5x - 18 ≤ 8x + 21
x ≥ -13
Rick has 546 words typed for his essay and can type 58 words per minute. Jackie has 130 words typed for her essay but can type 74 words per minute. If they both start typing at the same time, after how many minutes will it take them to have the same exact word count?
26 minutes
Stephen collects music vinyls. He currently has 47 vinyls in his collection and estimates he adds about 13 per year. Sarah has 92 vinyls in her collection, but only adds 8 per year. How many years will it take Stephen to have more vinyls in his collection?
Stephen will have more vinyls after 9 years
A rectangle has a length of 5 and a width of 2x - 7. Write an expression for the perimeter of the figure.
4x - 4
46(3x - 14) = 23(1.5x + 28)
No solutions
4(3x + 5) > 10x - 10
x > -15
A rectangle has a length of 4x + 16 and a width of 15. Write an expression for the area of this triangle.
60x + 240
15x - 3(2x + 9) = .4(20x - 30) - 3(x - 5)
x = 7.5 (15/2)
0.5(12x - 24) ≤ 6(3x + 16)
x ≥ -9
Zane has saved $1000 and will save an additional $125 per year. Fran has only saved $450 but will save and additional $275 each year. After how much time will these two have the same amount of money? Hint: do NOT leave the answer as a fraction or decimal.
3 years and 8 months
James has 48 bottles of water at home. He drinks 2.5 bottles of water per day. Samantha has 56 bottles of water at home. She drinks 3 per day. After how many days will James have more bottles of water?
He will have more after 16 days