IM1 Semester 1 Exam Review

Multiplying Polynomials

100

2x(-2x - 3)

-4x² - 6x

200

(3m - 1)(8m + 7)

24m² + 13m - 7

300

(4p - 1)²

16p² - 8p + 1

400

(7r² - 6r - 6)(2r - 4)

14r³ - 40r² +12r + 24

500

(m² - 7m - 6)(7m² - 3m - 7)

7m⁴ - 52m³ - 28m² + 67m +42

Factoring

100

b² + 8b + 7

(b + 7)(b + 1)

200

x² - 6x + 8

(x - 4)(x - 2)

300

-6xy² - 54x²y

-6xy(y + 9x)

400

5n² + 10n + 20

5(n² + 2n + 4)

500

2x² + 22x + 60

2(x + 5)(x + 6)

Literal Equations

100

Solve for x:

u = 2x - 2

x = (u + 2)/2

200

Solve for a:

u = k/a

a = k/u

300

Solve for a:

z = b + m/a

a = m/(z - b)

400

Solve for x:

2x + 4 = xg

x = -4/(2 - g)

500

Solve for x:

4x = -4r + 2d

x = (-2r + d)/2

Fraction Busting- POW!

100

(3/4)x + (3/2)x = 9/4

x = 1

200

(12/5)x - 2x = (3/10)

x = 3/4

300

(7/4)x + (5/3)x = 0

x = 0

400

p - (8/5) - (2/3)p = -(7/5)

p = 3/5

500

(3/2)x + (4/3)x = -(85/9)

x = -(10/3)

Solving Inequalities

100

-p - 4p > -10

Give your answer in interval notation.

(-infinity, 2)

200

167 < 6 + 7(2 - 7r)

Give your answer in interval notation.

(-infinity, -3)

300

28 - 7x less than or equal to -4(-7x - 7)

[0, infinity)

400

3(1 - 2x) > 3 - 6x

No solution!

500

-2(2 - 2x) - 4(x + 5) less than or equal to -24

(-infinity, infinity)