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Functions

100

f(x) = - 2 x 2 + 6 x - 3

f(-2) = -23

200

h(x) = 3 x 2 - 7 x - 5

= 3 x 2 - 19 x + 7

300

S = $33,113 + $600t

What is the minimum number of years an employee would have to stay to make a salary of over $40,000 per year?

12 years 

400

A function has y-intercept of -2 and a slope of -6/5. What equation describes the equation?

y = -6/5x - 2

500

k(x)=6x+100

k(−5)

k(-5)=70

 

Inequalities

100

z + 5 ≥ 3 

z ≥ -2

200

4(x – 1) < 3(x + 1)

x < 7

300

2x + 3 ≤ x 

x ≤ -3

400

5(x + 2) – 3x ≤ 4 + 2x + 3(x – 1)

3 ≤ x

500

 7y + 2 ≤ 65.

9 ≤ y

Equations

100

-3 + 2x = 11 

x = 7

200

4x + 6 = -10 

x = -4

300

x + 9 = 18 - 2x 

x = 3

400

2x + 6 = 4x - 2 

x = 4

500

-x - 1 = 221 + 2x 

x = -74

Factoring

100

 Factor 4x2 + 12x + 5.

(2x + 5)(2x + 1)

200

Factor 18x2 - 39x + 20

(3x - 4)(6x - 5)

300

Factor 6x2 - 19x - 7

(2x - 7)(3x + 1)

400

Factor 10x2 + x - 2

(5x - 2)(2x + 1)

500

Factor 6x2 - 16x + 10

2(x - 1)(3x - 5)

Systems of Equations

100

y + 4x = 8  

5x + 2y = 13

(x, y) = (1, 4)

200

2x + 2y = 6  

12 = 2y - x

(x, y) = (- 2, 5)

300

4y + 2x = 5  

x = 8 - 2y

No solutions. The system is inconsistent.

400

2x + 9y = 0  

3x + 5y = 17  

(x, y) = (9, - 2)

500

10x + 7y = 49  

10y - x = 70  

(x, y) = (0, 7)