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
