Pre-Algebra Review: Adding and Subtracting Rational Expressions

The video tutorial covers various algebraic concepts, including simplifying expressions using exponent rules, solving inequalities, evaluating the truth of mathematical sentences, and applying divisibility rules. It also explains finding the greatest common factor, performing prime factorization, simplifying negative exponents, and using the order of operations to evaluate expressions.

What is the simplified form of x^3 * y^7 / (x^5 * y^2)?

• x^2 * y^5

• x^-2 * y^5

• x^2 * y^-5

• x^-2 * y^-5

Which integer is not a solution to the inequality 25 + t < 19?

• -7

• -9

• -8

• -6

Which sentence is true?

• -6 - (-2) * 2 * -5 = -20

• -36 - 10 = 4 * 5

• 5 * 2 = 10

• 16 >= 2 * 9

Which number is divisible by both 3 and 9?

• 24000

• 36089

• 45298

• 27000

What is the simplified form of -8 * n^3 * 4 * t?

• -32 * n^2 * t

• -32 * n^3 * t^2

• -32 * n^4 * t

• -32 * n^3 * t

What is the prime factorization of 90?

• 2 * 3 * 5^2

• 2^2 * 3 * 5

• 2 * 3^3 * 5

• 2 * 3^2 * 5

Simplify 2^-3.

• 8

• 1/2

• 1/8

• 2/3

Evaluate the expression 3m - 12 / n when m = 8 and n = 4.

• 5

• 4

• 2

• 3

What is the result of 2 * (11 + 14)?

• 25

• 50

• 30

• 35

Simplify the expression 8 + (-8) - (-8).

• 16

• 8

• 0

• -8