Test Review 6.16.26

Exponential Functions

100

Is this growth or decay?

y= 3(7)^x

Growth

200

Is this growth or decay?

y= 3(.75)^x

Decay

300

An element with mass 280 grams decays by 29.6% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram

2.1

400

A new car is purchased for $22,900. The value of the car depreciates at 12.5% per year. What will the value of the car be, to the nearest cent, after 11 years?

$5,271.38

500

A town has a population of 12,000 and grows at 5% every year. What will be the population after 11 years, to the nearest whole number?

20,524

Adding + Subtracting Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Subtract the polynomials:

(-3a - 2) - (7a + 5)

-10a -7

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the polynomials:

(t² + 3t³ -3) - (2t² +7t -2t³)

5t³ - 1t² - 7t - 3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Factoring Polynomials

100

5x² + 10x

5x(x + 2)

200

-20x² +8x

-4x(5x - 2)

300

x² -49

(x +7)(x-7)

400

x² + 7x - 8

(x + 8)(x - 1)

500

2x² + 16x + 30

2(x+5)(x+3)

Multiplying Polynomials

100

Multiply the Polynomials:

3x²(2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

7(d + 3)(d - 4)

7d² -7d -84

x Intercepts

100

What are the x intercepts?

x² + 7x + 12

(-3, 0) and (-4, 0)

200

What are the x intercepts?

x² + 8x + 15

(-3, 0) and (-5, 0)

300

What are the x intercepts?

(x - 4)(x + 6)

(4, 0) and (-6, 0)

400

What are the x intercepts?

(2x+4)(x-1)

(-2, 0) and (1, 0)

500

What are the x intercepts 2x² -5x -3

(-.5, 0) and (3, 0)

Factor when a>1

100

3p² - 2p -5

(3p-5)(p+1)

200

2n² + 3n -9

(2n-3)(n+3)

300

3n² - 8n +4

(3n -2)(n - 2)

400

2v² +11v + 5

(2v+1)(v+5)

500

5n² + 19m +12

(5n+4)(n+3)