Abeka 10th Grade Algebra 2 Test 01

x/x^2-6x

1/x-6 x≠0

twice w decreased by four

2w-4

6w^2z^-1/3wz^4

2w/z⁵

x^3 − 6x^2 + 9x

x(x-3)² OR x(x-3)(x-3)

The product of x and y is twenty.

xy=20

3x^2 + 19x + 20

(3x+4)(x+5)

9y^2 − 121

(3y+11)(3y-11)

a^5 − b^5

(a-b)(a⁴+a³b+a²b²+ab³+b⁴)

w^2 − 12w + 36

(w-6)² OR (w-6)(w-6)

x^2 − 4x − 21

(x+3)(x-7)

x^4 − 81

(x²+9)(x+3)(x-3)

3xy + z^3

-25

(w + 4) − (w^2 + 5w + 2)

-w²-4w+2

12z^2/2y^2

3/2

(4a + b)(a − 5b)

4a²-19ab-5b²

(2q + 3)^2

4q²+12q+9

8x^3+3x^2/2x

4x²+3x

(2x − y) (2x + y)

4x²-y²

(-2x^2)^2 · x^4y

4x⁸y

5/x+2 divided by 6/x^2-x-6

5(x-3)/6 x≠-2,3

3/x+4 + 4/x-3

7x+7/(x+4)(x-3) none

Which of the following is the correct sum for 3√2 +√8

A. 5√2

Which of the following algebraic properties was applied to the expression (a + c) + x to get the expression a + (c + x)?

A. associative

Which of the following is a like radical with -2^3√5?

B. 12^3√5

9/x-√7

B. 9x+9√7/x^2-7

In order to multiply radicals, which of the following needs to be true?

B. The indices are the same.

Which of the following is prime?

B. x^2 + 16

Which of the following shows the distributive property done correctly on the expression -3(4x − 5)?

C. -12x + 15

^4√12x^3/^4√6x^7

C. 1/x ^4√2

√12+2√27

C. 8√3

Which of the following is the conjugate of √2-7?

C. √2 +7

^3√3x x ^3√9x^4

D. 3x^3√x^2

In the expression 2(3 + 5) − 4^2, which operation should be done first?

D. parentheses

What is the term for the root that matches the radicand in sign?

D. principal root

Which of the following correctly expands (w + y)^3?

D. w^3 + 3w^2y + 3wy^2 + y^3