First Quarterly Test in Mathematics

What is the process of finding the factors of an expression which is the reverse process of multiplication?

• factoring

• special product

• rationalization

• continuous division

• 2x + 3

• 4x + 6

• 2x + 6

Liza factored the expression 15x²y³ + 10x⁴y + 5xy as 5xy(3xy² + 2x³). Did Liza factor it correctly?

• No, because 5xy is not the common factor.

• Yes, because the last term is cancelled out.

• Yes, there exists a common factor on all terms.

• No, because the last term when factored is 1 and should not be omitted.

Using the pattern for factoring the sum of cubes, what are the factors of 8 + 𝑏³?

• (2 − 𝑏)(4 − 2𝑏 + 𝑏²)

• (2 − 𝑏)(4 + 2𝑏 + 𝑏²)

• (2 + 𝑏)(4 − 2𝑏 + 𝑏²)

• (2 + 𝑏)(4 + 2𝑏 + 𝑏²)

The area of a rectangular garden is 9t² - 64 square units. If one side is 3t - 8, what is the other side?

• 3t - 8

• 3t + 8

• t - 8

• t + 8

What is the complete factored form of 𝑥² − 4x − 96?

• (x + 8)(x − 12)

• (x − 8)(x + 12)

• (x − 8)(x − 8)

• (x + 8)(x + 12)

What is the complete factored form of 8𝑥² − 24𝑥𝑦 + 18𝑦²?

• 2(2x − 3y)(2x − 3y)

• 2(3x + 2y)2

• 2(2x − 3y)(2x + 3y)

• 2(3x − 2y)2

Anne squared the expression 3x + 4y as 9x² + 16y², which of the following statement is correct with the answer of your classmate?

• The answer is correct because to square a binomial distribute the exponent.

• The answer is wrong because the product of squaring a binomial is a trinomial.

• The answer is correct because the product of squaring a binomial is another binomial.

• The answer is wrong because to square a binomial is to multiply the expression by 2.

If the area of the square is (4𝑥²− 4𝑥 + 1) 𝑐𝑚2, what is the measure of its side?

• (−2𝑥 + 1) 𝑐𝑚

• (−4𝑥 + 1) 𝑐𝑚

• (4𝑥 − 2) 𝑐𝑚

• (2𝑥 − 1) 𝑐𝑚

What do you call an expression in fraction form in which the numerator and the denominator are polynomials?

• rational algebraic equation

• linear algebraic expression

• rational algebraic expression

• linear algebraic equation