Resources

Resources

Add and subtract rational numbers: word problems

3

inches shorter than Johnny. Johnny is

i

inches tall. Write an expression that shows how many inches tall Tess is.

Fred takes a piece of wood that is

\frac{1}{2}

of an inch thick and glues it to a piece of wood that is

\frac{5}{6}

of an inch thick. Together, what is the thickness of the two pieces of wood?

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Write your answer as a fraction or as a whole or mixed number.

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Harold's pet cat weighed

7.9

pounds. Then the cat gained

0.9

pounds. How much does the cat weigh now?

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Elena has been monitoring her mileage. According to last week's driving log, she drove

\frac{2}{5}

of a mile in her car and

\frac{1}{2}

of a mile in her truck. How far did Elena drive last week in all?

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Write your answer as a fraction or as a whole or mixed number.

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Charlotte bought

6.4

pounds of potatoes and

0.4

pounds of carrots. How many pounds of vegetables did she buy in all?

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As part of a lesson on earthquakes, a science class is researching the movement of a nearby fault line. The fault line moved

2\frac{3}{5}

inches during the past year and

1\frac{1}{10}

inches the year before. How far did the fault line move in all?

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Write your answer as a fraction or as a whole or mixed number.

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7.3

pounds of peanuts and

0.1

pounds of raisins. How many pounds of snacks did he buy in all?

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Cassie filled a bucket with

3

gallons of water. Later, she poured out

\frac{1}{2}

of a gallon of the water. How much water is left in the bucket?

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Write your answer as a fraction or as a whole or mixed number.

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\frac{1}{3}

of a pizza, and then ate another

\frac{1}{2}

of a pizza. What fraction of a pizza did Jon eat all together?

2

years ago } \frac{

1

4

} ext{ of Udin's age } = \frac{

2

3

} ext{ of Asep's age, if next year Udin's age is }

3

x ext{ Asep's age, how old are Udin and Asep now.}

55\frac{3}{4}

inches tall. Carl Is

1\frac{3}{8}

inches shorter than Janet and Jane is

1\frac{1}{5}

inches shorter than Carl. How tall is Jane

6

years less than half my father's age

6

years, I will be

6

years more than one-third my father's age. How old was my father when I was born?

Razwan is drinking a glass of mango juice. He drinks

\frac{3}{5}

\frac{1}{4}

of the remaining amount after studying. What fraction of the juice does he have left?

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30\%

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\frac{1}{10}

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\frac{1}{5}

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\frac{3}{10}

Every year, the students at a school are given a musical aptitude test that rates them from

0

(no musical aptitude) to

5

(high musical aptitude). This year's results were:

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\begin{tabular}{|c|l|l|l|l|l|l|}

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\hline Aptitude Score &

0

1

2

3

4

5

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\hline Frequency &

5

1

4

3

1

1

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The average (mean) aptitude score:

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Enter an integer or dacimal number [more..].

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The median aptitude score:

Rakesh and Tessa were asked to find an explicit formula for the sequence

100, 50, 25, 12.5,\ldots

, where the first term should be

f(1)

. Rakesh said the formula is

f(n)=100\cdot\left(\dfrac{1}{2}\right)^{n-1}

, and Tessa said the formula is

f(n)=200\cdot\left(\dfrac{1}{2}\right)^{n}

. Which one of them is right?

\frac{1}{2}

of his book on Sunday and

\frac{1}{8}

of his book on Monday. How much of his book has he read in all?

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Give your answer in simplest form.