Algebra 2 Review

Polynomials

100

Simplify (-49) + (-47)

A) -67

B) -49

C) -96

C) -96

200

Simplify 5r + 9(6 + 5r)

A) 48r + 64

B) 48r + 66

C) 50r + 64 

D) 50r + 54

D) 50r + 54

300

Divide (3b²)/(6b⁴)

1/(2b²)

400

Multiply (6p + 3)(5p² - 4p - 3)

30p³ - 9p² - 30p - 9

500

Divide (x² - 8x + 12)/(x - 2)

(x - 6)

Slopes and Systems

100

Write the equation of a line with:

Slope = -1, y-intercept = 4

A) y = -x + 4

B) y = 4x + 4

C) y = x + 4  

A) y = -x + 4

200

Find the slope of 3x - 2y = -10

A) 2/3

B) 3/2

C) -3/2

B) 3/2

300

Find the slope between the two points

(5, -9) and (4, 7)

m = -16

400

Solve by elimination:

-5x + 6y = 10

5x - 2y = -10

(-2, 0)

500

Solve by substitution:

y = 4x 

-2x + 4y = 0

(0, 0)

Factoring

100

Determine if p² + 6p + 9 is a perfect square trinomial

A) IS a perfect square trinomial

B) Is NOT a perfect square trinomial

A) IS a perfect square trinomial

200

Factor completely: 

x² - 9x

A) x(x + 9)

B) x(x - 9)

B) x(x - 9)

300

 Factor r² - 13r + 40

(r - 5)(r - 8)

400

Factor out the common factor of

-14yx² - 8y² + 2y

2y(-7x² - 4y +1)

500

Factor by grouping:

10v³ - 25v² + 6v - 15

(5v² + 3)(2v - 5)

Complete the Square

100

Find the value to complete the square:

r² + 3r + ____

A) 9

B) 9/4

C) 3/2

B) 9/4

200

Find the value to complete the square:

x² - 28x +______

A) 14

B) -14

C) 196

D) - 196

C) 196

300

Factor the perfect square trinomial:

y² - 4y + 4

(y - 2)²

400

Solve for x:

(x + 3)² = 16

x = 1, -7

500

Solve by completing the square:

x² - 10x + 24 = 0

x = 4, 6

Misc.

100

In an inequality, if "y is greater than or equal to 2x minus one," which type of line will be used to graph it and where will the shading be?

solid line, shade above

200

Simplify 9n - 9n

A) -4n + 9 

B) 2n - 2

C) 0

D) 6n + 9

C) 0

300

Solve the equation 2(-5x - 7) = -84

A) 9

B) 12

C) 7

C) 7

400

Simplify the square root of 63.

3*sqrt of 7

500

Factor 2a² + 11a + 12

(2a + 3)(a + 4)