Exploring Key Concepts in Algebra Review

When multiplying two fractions, such as 7/5 and 4/3, what is the correct approach?

• Subtract the numerators

• None of the above

• Multiply the numerators and denominators directly

• Find a common denominator and add

What is the result of adding two fractions with different denominators, such as 3/4 and 2/5?

• 23/20

• 11/20

• 5/9

• 6/20

How do you simplify the expression 5x + 3x^2 - 7x + 4x^3 + 8x^2?

• Multiply all coefficients

• Add all exponents

• Divide each term by x

• Combine like terms and simplify

What is the result of (3x - 4)^2 using the FOIL method?

• 9x^2 - 24x + 16

• 9x^2 - 12x + 16

• 6x^2 - 8x + 16

• 9x^2 - 12x - 16

What is the simplified form of the expression when you multiply a binomial by a trinomial, such as (2x + 5)(4x^2 - 3x + 6)?

• 8x^3 + 14x^2 - 3x + 30

• 8x^3 + 20x^2 - 15x + 30

• 8x^3 - 6x^2 + 12x + 30

• 8x^3 + 25x^2 - 3x + 30

If you have the equation x/6 = 4, how would you solve for x?

• Multiply both sides by 6

• Add 6 to both sides

• Divide both sides by 4

• Subtract 6 from both sides

What operation would you perform to isolate x in the equation 3x + 5 = 11?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 3

• Divide both sides by 3

When solving the equation 0.34x + 0.12 = 0.26 - 0.15x, what is the first step to eliminate decimals?

• Add 0.15x to both sides first

• Divide all terms by 100

• Multiply all terms by 100

• Multiply all terms by 10

What is the correct interval notation for x > 2 using an open circle on a number line?

• [2, ∞]

• [2, ∞)

• (2, ∞)

• (2, ∞]

How do you solve the inequality 5 + 3x > 14?

• Add 5 to 14 and multiply by 3

• Subtract 5 from 14 and divide by 3

• None of the above

• Multiply 5 by 3 and subtract from 14