Fractions
Distributing
Word Problems
100
Solve for y by eliminating all fractions first. y/12 +4 =11
y=-180
100
Solve for b. -5(-b+6)=3+4b-10
b=23
100
A town has accumulated 5 inches of​ snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 6 ​inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be​ equal?
In about .3 hours.
200
Solve for x by eliminating fractions first. x/10 - 4 = 19/20
x=99/2
200
Solve for x. 2(-9x+7)=6x+3-2x
x=1/2
200
A​ town's population is 39,000. About 75 people move out of the town each month. Each​ month, 125 people on average move into town. A nearby town has a population of 40,000. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be​ equal?
In about 5 months
300
Solve for y by eliminating fractions. y/2 +2/3= 4
y=20/3
300
1-(3+4x)=6(2-x)
x=7
300
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 150150 ​yards, what are its​ dimensions?
25 yards by 50 yards
400
Solve for x by eliminating fractions. -1/4 + 3/5x = 3 -1/8 x
x=130/29
400
Solve for y. -7(3-2y)-5y=9-4y
y=2
400
Allison works at a company that sells magazine subscriptions. She gets paid ​$15 per subscription for the first 100 that she sells. After she sells 100 subscriptions she gets paid ​$20 for each one she sells. Allison makes ​$2,760 from selling the subscriptions. How many additional subscriptions does Allison sell after the first 100​?
She sells an additional 63 subscriptions.
500
NO CALCULATOR: Write the fractions 13/16 and 587/1,000 as decimals. Then compare the values.
13/16 = .8125 587/1,000 = .587 13/16 > 587/1,000
500
Define characteristics of a number to be classified as a rational number.
Positive or negative, integers, fractions, repeating or terminating decimals, whole numbers
500
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 150150 ​yards, what are its​ dimensions?
No, the minimum length is 14 feet.
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