LIB Arts Midterm

L

100

Write the number in scientific notation.

32,000

3.2 x 10⁴

200

Simplify.

(-9x³y)(-2x⁶y⁴)

18x⁹y⁵

300

Factor the greatest common factor.

18x³+27x²

9x²(2x+3)

400

Find the product.

(y+5)²

y²+10+25

500

What is the special product formula for sum and difference of two terms?

(A+B) (A-B)=A²-B²

I

100

Evaluate.

3⁴/3⁷

1/27

200

Write the number in decimal notation without the use of exponents.

9.2 x 10²

920

300

Find the perfect square trinomial.

x²+6x+9

(x+3)²

400

Evaluate.

-9⁰

-1

500

Factor the difference of two squares.

x⁴-81

(x²+9)(x²-9)

B

100

Find the product.

(3x-4)²

9x²-24x+16

200

Simplify.

(6x⁴)²

36x⁸

300

Factor by grouping.

x³+5x²-2x-10

(x+5)(x-2)

400

Write the number in decimal notation without the use of exponents.

7 x 10^-5

0.00007

500

Find the product.

(7x+4)(3x+1)

21x²+19x+4

A

100

Evaluate.

(-2)⁴

16

200

Write the number in scientific notation.

0.0083

8.3 x 10^-3

300

Factor out the greatest common factor.

x²(x-3)+12(x-3)

(x-3)(x²+12)

400

Evaluate.

2² x 2³

32

500

Perform the indicated operations. Write the resulting polynomial in standard form.

(5x²-7x-8)+(2x²-3x+7)-(x²-4x-3)

6x²-6x+2

M

100

Simplify.

25a¹³b⁴/-5a²b³

-5a¹¹b

200

Factor the perfect square trinomial.

25x²-60x+36

(5x-6)²

300

Find the product.

(2x+3) (2x-3)

4x²-9

400

Factor the trinomial.

8x²-10x-3

(4x+1)(2x-3)

500

What are the two special products formula for squaring a binomial?

A²+2AB+B²

A²-2AB+B²