Q1-PERIODIC TEST-REVIEWER-MALVAR-SY25-26

Carlos is solving a puzzle that involves finding the roots of a polynomial equation. The equation given is

” x³ + 4x² + x – 6 = 0”. To complete the puzzle, he must identify all the values of x that make the equation true. What are the solutions he should find?

• {-3, -2, -1}

• {-3, -2, 1}

Jenna is organizing chairs in rows for an event. She arranges 6 chairs in the first row, 12 in the second, 18 in the third, and continues the pattern by adding 6 more chairs in each row. If she sets up 10 rows in this way, how many chairs will she use in total?

• 330 chairs

• 230 chairs

A theater is designed so that each row has more seats than the one before it. The first row has 12 chairs, and each following row has 3 more chairs than the previous. If this pattern continues, how many chairs are there in the 15th row?

• 54 chairs

• 103 chairs

Liam is creating a decorative tile pattern using alternating black and white tiles. He starts with a black tile (represented by –1), then a white tile (represented by 1), and continues this alternating pattern. If the pattern continues, what type of tile (black or white) will the 99th tile be??

• a₉₉ = 1

• a₉₉ = -1

• III

• IV

A scientist is studying the growth of bacteria in a controlled experiment. She observes that the number of bacteria follows a geometric pattern. On the 2nd hour, there are 4 bacteria, and by the 6th hour, there are 64. If the pattern continues, how many bacteria will there be in the 7th hour?

• 128 bacteria

• 136 bacteria

In a biology experiment, a fungus starts with 8 units in size and is observed to double in size every day under controlled conditions. If this growth pattern continues, how large will the fungus culture be after 10 days?

• 4 096 units

• 2 048 units

A student was asked to find the sum of a geometric sequence whose first term and common ratio are 10 and 1/2, respectively. Knowing that the sequence is convergent by the value of its common ratio, what sum of the terms of the given infinite geometric sequence must he get?

During a math quiz, James was asked to identify which of the equations shown is NOT a polynomial equation. Which one should he choose?

I. -x⁵ + 1 = 0

II. 3x² + 4x – 5 = 0

III. x⁻³ + 2x² – 5x – 4 = 0

IV. 3x – 6 + 5x³ – 2x² = 0

• IV. 3x – 6 + 5x³ – 2x² = 0

• III. x⁻³ + 2x² – 5x – 4 = 0

Alex is solving a polynomial problem in algebra class. He knows that (x – 2) is a factor of the polynomial P(x) = x³ + 3x² – 5x – 10. After performing synthetic division, what will be the resulting depressed equation?

• x² + 5x + 5

• x² - 5x + 5