algebra 1 final

Find the balance. 15, 000 at 15% compounded annually for 5 years.

$30, 170.36

Simplify the expression (y^3/x^2)^-5

x^10/y^15

Solve the system using elimination. y = 2x − 7 −y = 4x + 1

(1, −5)

Solve the system using substitution. 2x + 3y = 9 y = −2x + 13

(15/2,−2)

A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 485 miles per hour. Against the wind, its air speed is only 445 miles per hour. What is the speed of the wind?

20 mi/h

What is y=−2/9x+3 in standard form using integers?

2x + 9y = 27

Factor the expression 3s^4t + 3s^3t - 6s^st

3s^2(s - 1)(s + 2)

Does the table repersent a linear or exponential function? x= 1, 2, 3, 4 y= -4, -8, -16, -32

An exponential functio; the common ratio is 2 and the function is y = -2 * 2^x

Which of the following is a binomial with degree 4? A. 4x^4 - 5x^3 + 2x^2 - x + 1 B. 3x^4 +1 c. 4x-3 D. A binomial cannot have degree 4

B. 3x^4 +1

How many solutions does the following system have? Choose the explanation that best fits your answer. y=−1/2x+44x+8y=16

No solution; the lines are parallel.

Is the sequence geometric? If so, indentify the common raito. 3, 12, 48, 192...

Yes; 4

Decide whether each equation represents a line with positive, negative, 0, or undefined slope. Drag and drop each equation into the appropriate category. positive slope negative slope 0 slope undefined slope

positive slope- y=4x-3 negative slope- y-1=2-x, x+y=0 0 slope- y=1 undefined slope- x=10, x=0

Solve the system using elimination. x − y = 4 −x − y = 6

(−1, −5)

Solve the system using elimination. x − 4y = 4 3x − 4y = −12

(−8,−3)

What is the solutions or solutions to the equation x + 5 =5^x

-4.9997, 1.1262

Simplify. Write your answer in standard form (3x^3+9x^2)-(7x^3-6x^2+1)

-4x^3 + 15x^2 - 2x - 1

Simplify. Write your answer in standard form. (17w^5+7w^3+2w)-(-5w^4-w^2-2)

-7w^5 + +5w^4 + 7w^3 + w^2 +2w -2

Simplify the expression (-3m^-2)^2(-2m^4n^2)^-1

-9/2m^8n^2

Evaluate the function for x = 1, 2, and 3. y= 5 * (0.1)^x

0.5, 0.05, 0.005

Find the GCF of the terms of the polynomial. 60 n^5 - 70n^4 - 20n^3

10n^3

A regular plot of land has length 5x -1 and width 3x +7. What is the area of the land?

15x^2 + 32x - 7

What is the expression in scientiffic notation? (7 * 10^-12)(4 * 10^5)

2.8 * 10^-6

On the first swing, a pendulam swings through an arc of length 65 cm. On the successive swing, the length of the arc is 85% of the lenth of the previous swing. Find the length of the arc on the fourth swing. Round your answer to the nearest centimeter.

39.918 cm

Factor the expression 4t^2 - 16

4(t + 2)(t - 2)

Simplify. Write your answer in standard form. 9t^2(2t - 6 + 5t^2)

45t^4 + 18t^3 -54t^2

Simplify. Write your answer in standard form. (3x^2+2x-8) + (x^2-5x+10)

4x^ 2 - 3x +2

Factor completely 10z^4 + 20z^3 + 25z^2 +50z

5z(2z^2 + 5)(z + 2)

(3b -5 )(2b -3)

6b^2 - 19b + 15

Simplify. Write your answer in standard form. (g +6)(6g^2 + 9g -8)

6g^3 + 45g^2 + 46g -48

Write the polynomial in standard form: 3x+1-4x^3+6x^6-2x^2

6x^6 - 4x^3 - 2x^2 + 3x + 1

A job at a retail store pays $80 per week plus 20% commission on total weekly sales. What is the p-intercept? What does it mean?

80; weekly pay if no sales are made

Simplify the expression (15a^2y^-3)^4(5ay^-2)^-5

81a^3/5y^2

Write the exponential expression 9x 9/7 in radical form

9 ^7√x^9

Does the table repersent a linear or an exponential function? x= 1, 2, 3, 4 y= -1, 1, 3, 5

linear function

A job at a retail store pays $80 per week plus 20% commission on total weekly sales. Write an equation for the total weekly pay p for total weekly sales s.

p = 0.2s + 80

To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. The trip back takes 1 h. Write and solve a system of equations to find your paddling speed, x, in still water. Find the speed of the ocean current, y.

x + y = 600; x − y = 300 450 yd/h, 150 yd/h

Factor the expression 3w^2 + w - 2

(3w - 2)(w + 1)

factor the expression 3x^2 + 8x - 11

(3x + 11)(x - 1)

Factor the expression b^2 + 7b - 18

(b + 9)(b - 2)

Factor the expression v^2 - 20v + 100

(v -10)^2

Find the balance. 3,500 at 4% compounded annually for 8 years

$4,789.99

Simplify the expression. (2a 1/3 * 3b 1/2)(a 1/2 * 3b 3/4)

18a2/3b5/4

Factor completely 9v^6 + 24v^3 - 27v^2

3v^2(3v^4 + 8v -9)

On the first swing, a pendulam swings through an arc of length 65 cm. On the successive swing, the length of the arc is 85% of the lenth of the previous swing. Write a rule to model this situation.

An= 65 * (.85) ^n-1

Simplify. Wrtie the answer in standard form. (x+2)(x-5)

x^2 -3x - 10

Write an equation for the line that passes through the point (1, 5) and is perpendicular to the graph of x + 2y = 4. Enter your answer in the boxes.

y = 2x + 3

Write an equation in point-slope form of the line through the point (−1, 2) and with slope m = 2.

y − 2 = 2(x + 1)

What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)?

y=3x+4

A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?

y−5=1/3(x+2)

Write an equation of the line that is parallel to the given line and that passes through the given point. 3x + 2y = 5; (2, 6)

y−6=−3/2(x−2)

Write y=45x+8 in standard form using integers.

−4x + 5y = 40

What are the x- and y-intercepts of −3x + 5y = 15?

−5, 3