6.1
-7x = 84
x = -12
5x + 2 = 17
x = 3
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50. Determine how many miles it is to the airport.
0.60m + 1.50 = 13.50
m = 20 miles
7(x + 8) = 49
x = -1
Noel is making 6 hats that each require 1 1/4 yards of red fabric and a certain amount of blue fabric. She will use 10 yards in all. Determine how many yards of blue fabric are needed for each scarf.
6(1 1/4 + b) = 10
b = 5/12 yards.
-6 = 0.2b
b = -30
-18 = 6 + 6x
x = -4
At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6.94, without tax. Determine how many pounds of bananas Meyer bought.
0.65p + 4.99 = 6.94
p = 3 lb
-2(x + 4) = 18
x = -13
Anthony cooks 6 servings of a meal containing pasta and meat. Each serving has 3 ounces of meat and a certain amount of pasta. The recipe makes a total of 42 ounces. Which equation can be used to determine how many ounces of pasta are in one serving?
6(3 + p) = 42
p = 4 oz
-1/3 = -5/6 + w
w = 1/2
-1/2 x - 7 = 18
x = -50
Lucy and her friend spent $24.50 on lunch. Their lunches cost the same amount, and they used a $4 off coupon. Determine the cost of lunch.
2c - 4 = 24.50
c = $14.25
-0.8(10 - x) = 36
x = 55
Francisco makes 4 identical bags of trail mix. Each bag has 2 1/2 ounces of peanuts and a certain weight of raisins. He uses 16 ounces altogether. Determine how many ounces of raisins are in one bag.
4(2 1/2 + r) = 16
r = 1 1/2 oz
n + 7.1 = 8.6
n = 1.5
-9 = 2/7 x + 5
x = -49
The current temperature is 48 F. It is expected to drop 1.5 F each hour. Determine in how many hours the temperature will be 36 F.
48 - 1.5h = 36
h = 8
1/2(x - 4) = 5
x = 14
Amy and her friend earn equivalent paychecks after working eight hours. They each spend $40 of their paycheck. Afterward, the total amount of money they have is $90. Which equation can be used to determine the original amount of Amy’s paycheck? Determine the original amount of Amy’s paycheck.
2(p - 40) = 90
p = $85
2 4/5x = -1 1/4
x = -25/56
5x - 3.3 = 7.2
x = 2.1
A hot air balloon is at an altitude of 100 1/5 yards. The balloon's altitude decreases by 10 5/4 yards every minute. Determine the number of minutes it will take the balloon to reach of 57 yards.
100 1/5 - 10 5/4m = 57
m = 4 minutes
4/5(x + 7) = 20
x = 18
Justin serves 6 identical plates of fruit to his friends. They each eat 4 pieces of fruit. Afterward, 48 pieces of fruit are left. Which equation can be used to determine how many pieces of fruit were originally on each plate? Determine how many pieces of fruit were originally on each plate.
6(f - 4) = 48
f = 12 pieces