Solve for X
25x + 10 = 110
x = 4
Represent and Connect Jenna wants to buy a new tablet that costs $242. She already has $62 and plans to save $12 per week. If w represents the number of weeks until Jenna has enough money to buy the tablet, write an equation that can be used to find the value of w?
12w + 62 = 242
22.5 = 0.6p + 4.5
30 = p
Percy rides his bike 11.2 miles in 1.4 hours at a constant rate. Write an equation to represent the proportional relationship between the number of hours Percy rides, x, and the distance in miles, y, that he travels.
y = 8x
12 = 4x - 12
x = 6
4x + 8 = 28
x = 4
At a wedding reception, an equal number of guests were seated at each of 12 large tables, and 8 members of the wedding party were seated at the main table. The total number of people at the reception, including the bride and groom, was 128. If n represents the number of people seated at each of the large tables, what equation
12n + 8 = 128
3x + 2 = 17
x=5
The number of pizzas, y, and the weight of the shredded cheese topping, x, on the pizzas have a proportional relationship. When shredded, a 50-lb block of cheese is enough to make 150 large pizzas.
Find the constant of proportionality.
3
5x - 3(x - 3) = -6 + 6x - 5
x = 5
3n + 8 = 53
n=15
An orchard contains 132 trees, which are either apple or pear trees. There are 24 apple trees in each of 4 rows.
If p represents the number of pear trees in the orchard, what equation could you use to find the value of p?
p = 132 − (24 × 4)
12.6x - 4.9x = -154
x = 8.8
4 in. ≈ ? cm
10.2cm
2(6 - x) = 3(x + 1)
x = 9/5
5(x + 11) = 120
x=13
The Smith family and the Jackson family are having their basements remodeled. The Smith’s contractor charges $16.50 per hour plus $289 in supplies. The Jackson’s contractor charges $18.75 per hour and $274.60 in supplies. At how many hours of work will the total cost be the same for both families?
6.4 hours
6.4n - 10 = 4.4n + 6
n = 8
12 g = ? L
45.5 L
48x + 43 = 47 + 43
x = 0
2(x - 3) + 3 = 6x - 5
x = 0.5
Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally deposits $20 per week into her account. After how many weeks will they have the same amount of money?
20 weeks
150 - x - 2x = 120 + 2x
x = 6
125in = ? m
3.2m
0.4(5x - 15) = 2.5(x + 3)
x = -27