Solving Equations and Inequalities with Fractions and Decimals

What is the first step in solving equations and inequalities with fractions?

• Divide by the greatest common divisor

• Multiply by the least common denominator

• Multiply by the least common multiple

• Add the least common denominator

What is the result of simplifying 12/4 in the given example?

• 12

• 9

• 3

• 4

What operation is used to isolate the variable after clearing fractions?

• Addition

• Inverse operations

• Multiplication

• Exponentiation

What is the final solution for the equation 3x + 9 = 36?

• x = 12

• x = 3

• x = 27

• x = 9

What is the least common denominator used to clear fractions in the second example?

• 2

• 4

• 6

• 3

To clear decimals, by what power of 10 should you multiply if the decimal is in the hundredths place?

• 10

• 100

• 1

• 1000

What is the new form of 1.2x after multiplying by 100 to clear decimals?

• 12x

• 120x

• 1.2x

• 1200x

After clearing decimals and solving, what is the value of x in the equation 120x - 64 = -184?

• x = 2

• x = 0

• x = -1

• x = 1

What is the final answer for the inequality 2 + 50x ≤ -30 after solving?

• x ≥ 16/25

• x ≤ 16/25

• x ≥ -16/25

• x ≤ -16/25

What is the solution for the inequality 2x + 57 > 93?

• x > 18

• x < 18

• x < 36

• x > 36