TSIA2 Boot Camp - Operations with Rational Numbers

Open Ended

Why is it important to be able to switch between fraction form, decimal form, and percent form when working with numbers in real life?

Multiple Choice

If $$\frac{4}{3}$$ ÷ $$\frac{1}{6}$$ = p, then the value of p is between which of the following pairs of numbers?

• 3 and 5

• 5 and 7

• 7 and 9

• 9 and 11

Open Ended

Explain the process of adding fractions with unlike denominators. Why is it necessary to create equivalent fractions?

Multiple Select

Which of the following are steps in the Keep-Change-Flip strategy for dividing fractions?

• Keep the first fraction

• Change to multiplication

• Flip the second fraction

• Add the numerators

Multiple Choice

Which operation requires you to multiply the dividend by the reciprocal of the divisor when working with fractions?

• Adding fractions

• Subtracting fractions

• Multiplying fractions

• Dividing fractions

Multiple Choice

What is the value of $$\frac{4}{10}+\frac{3}{100}$$ ?

• $$\frac{43}{100}$$

• $$\frac{43}{110}$$

• $$\frac{7}{110}$$

• $$\frac{7}{100}$$

Multiple Choice

Selena invited all 30 of her classmates to her party. $$\frac{2}{3}$$ of the classmates showed, and $$\frac{1}{4}$$ of them brought gifts. How many classmates bought a gift?

• 20

• 15

• 10

• 5

Multiple Choice

Which of the following best describes what a percent represents?

• A number out of 10

• A number out of 100

• A number out of 1000

• A number out of 50

Multiple Choice

What arithmetic operations do the words 'is', 'what', 'percent', and 'of' represent when translating percentage problems into equations?

• 'is' means addition, 'what' means subtraction, 'percent' means multiplication, 'of' means division

• 'is' means equals, 'what' means a variable, 'percent' means divided by 100, 'of' means multiplication

• 'is' means multiplication, 'what' means a constant, 'percent' means addition, 'of' means subtraction

• 'is' means division, 'what' means a variable, 'percent' means equals, 'of' means addition

Multiple Choice

Which of the following is the correct answer to the problem: 60% of what number is equal to 30?

• 0.5

• 2

• 18

• 50

Multiple Choice

If Sammie deposits 25% of $130 into a savings account, what is the amount of his deposit?

• $5.20

• $25.00

• $32.50

• $97.50

Multiple Choice

If Carlos spends 30% of his $1,200 paycheck on rent, how much does he spend?

• $240.00

• $360.00

• $400.00

• $800.00

Multiple Choice

$$\frac{8}{3}$$ , 2.28, $$\frac{10}{12}$$ , 0.199

What number in the list above has the greatest value?

• $$\frac{8}{3}$$

• 2.28

• $$\frac{10}{12}$$

• 0.199

Multiple Choice

Carlos works at an auto shop and a restaurant. In a 28-day period, Carlos worked $$\frac{1}{4}$$ of the days at the auto shop and was off work for $$\frac{1}{14}$$ of the days. On the remaining days, Carlos worked at the restaurant. How many days did Carlos work at the restaurant during the 28-day period?

• 25

• 19

• 10

• 9