Midterm Review

Polynomials

100

(−4k⁴ + 14 + 3k² ) + (−3k⁴ − 14k² − 8)

−7k⁴ − 11k² + 6

200

(3 − 6n⁵ − 8n⁴ ) − (−6n⁴ − 3n − 8n⁵ )

2n⁵ − 2n⁴ + 3n + 3

300

7x² * 6x³

42x⁵

400

8r² (4r² − 5r + 7)

32r⁴ − 40r³ + 56r²

500

(6x + 2)(2x + 8)

12x² + 52x + 16

Solving Equations

100

p − 6 = −5

p = 1

200

10n = 40 

n = 4

300

2(n + 5) = −2

n = -6

400

8n + 7 = 31

n = 3

500

−8n + 4(1 + 5n) = −6n − 14

n = -1

Factoring

100

Factor by the GCF: 6n³ − 3n⁵

3n³ (2 − n² )

200

Factor by the GCF: −8x⁷ + 24x⁶ + 12x⁵

4x⁵ (−2x² + 6x + 3)

300

Factor the following trinomial: k² − 13k + 40 

(k − 5)(k − 8)

400

Factor the following trinomial: 3n² − 8n + 4 

(3n − 2)(n − 2)

500

Factor the following trinomial: 15n² − 27n − 6 

*Hint: GCF*

3(5n + 1)(n − 2)

Solving Quadratics

100

Solve the following by factoring: (a + 1)(a + 2) = 0 

a = -1 

a = -2

200

Solve the following by factoring: n² + 3n − 12 = 6

*Hint: Make sure your equation is set equal to 0* 

n = 3

n = -6

300

What c- value will complete the square: x² - 10x + c

25

400

Solve by Completing the Square: a² + 14a − 51 = 0 

a = 3

a = -17

500

Solve by Quadratic Formula: 2x² − 3x − 5 = 0 

x = 5/2

x = -1

Random

100

How many questions are on your midterm and what type of questions are they? 

25 multiple choice questions

200

Solve the following systems of equations. Answer must be in (x,y) format. 

y = −2 

4x − 3y = 18 

(3, −2)

300

Factor the following Difference of Squares: 16v² − 9 

(4v - 3)(4v + 3)

400

What is the GCF of 18x³ and 24x⁷

6x³

500

What is the quadratic formula? 

Answer