MATH REVIEW (Q1)

What is the GCF of a ⁵b ⁸ , a ⁴b ⁶, a ³b ⁹ , and a ¹²b ¹⁰?

• a ⁵b ⁸

• a ³b ⁶

• a ¹²b ⁸

• a ¹² b ⁶

Using the pattern for factoring the sum of cubes, we know that factoring 8 + 𝑏 ³ gives

• (2 − 𝑏)(4 − 2𝑏 + 𝑏 ² )

• (2 − 𝑏)(4 + 2𝑏 + 𝑏 ² )

• (2 + 𝑏)(4 − 2𝑏 + 𝑏 ² )

• (2 + 𝑏)(4 + 2𝑏 + 𝑏 ² )

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 8𝑥 ² − 24𝑥𝑦 + 18𝑦 ²

• 2(2x − 3y)(2x − 3y)

• 2(2x − 3y)(2x + 3y)

• 2(3x + 2y) ²

• 2(3x − 2y) ²

What is the complete factored form of x ² − 4x − 96?

• (x + 8)(x − 12)

• (x − 8)(x + 12)

• (x − 8)(x − 8)

• (x + 8)(x + 12)

Which of the following trinomials has factors (3a − 2b)and(2a − b)

• 6a² − 7ab + 2b²

• 6a² + 7ab − 2b²

• 6a² − 7ab − 2b²

• 6a² + 7ab + 2b²

The difference of the square of a number and 36 is the same as -5 times the number. Find the numbers that satisfy the given condition.

• 4 𝑎𝑛𝑑 − 9

• 6 𝑎𝑛𝑑 − 3

• 8 𝑎𝑛𝑑 7

• 12 𝑎𝑛𝑑 − 3

The product of two consecutive integers is 306. Find the integers.

• -4 and –5 or 4 and 5

• -9 and -10 or 9 and 10

• -12 and -13 or 12 and 13

• -17 and -18 or 17 and 18

The area of a square is numerically equal to five times its perimeter. Find the length of a side of the square.

• 4

• 10

• 20

• 40

The area of a rug is 108 square centimeters. The length of the rug is 6 cm less than twice its width. What is the width of the rug?

• 6 cm

• 9 cm

• 12 cm

• 15 cm