Understanding Ratios and Proportions

Which of the following is NOT a way to express a ratio?

• Using a colon, like 3:4

• As a fraction, like 3/4

• Using the word 'to', like 3 to 4

• As a percentage, like 75%

What does it mean for two ratios to form a proportion?

• They have the same denominator

• They are both greater than 1

• They have the same numerator

• They are equal to each other

Which strategy involves finding a number that both the numerator and denominator can be multiplied by to form a proportion?

• Common multiplier

• Cross products

• Simplifying ratios

• Converting to decimals

What is the result of cross-multiplying the ratios 3/5 and 21/35?

• 105 and 105

• 15 and 105

• 21 and 35

• 3 and 5

Which strategy is considered the easiest when a calculator is available?

• Common multiplier

• Converting to decimals

• Simplifying ratios

• Cross products

What is the decimal equivalent of the fraction 3/5?

• 0.5

• 0.6

• 0.8

• 0.7

When solving proportions, which method is generally recommended for students?

• Converting to percentages

• Using cross products

• Finding a common multiplier

• Simplifying both ratios

In the equation 5/6 = x/9.6, what is the value of x?

• 7

• 8

• 9

• 10

What is the first step in solving the equation 7(a + 2) = 14(a - 4)?

• Add 2 to both sides

• Subtract 4 from both sides

• Divide both sides by 7

• Distribute the 7 and 14

If 28/49 simplifies to 4/7, what is the common factor used?

• 4

• 5

• 7

• 6