Algebra 2 semester 1 final study guide
The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?
. B. 22.5 cm, 30 cm, and 37.5 cm
(-3,3) (9,-3)
A
(3 + i) - (2-2i)
A
-12x-4y = 10
A
-4x^2 +8x+32
A
-4x^2 - 4 = -8x
A
-7x^2 - 2 = -10x
A
-96, -48, -24, -12
A
0.3, 0.6, 1.2, 2.4
A
15x-15y=4 15x+2y=-4
A
2x^2 +5x - 3 = 0
A
2x^3 + 2x^2 + 19x + 20 = 0
A
Let g(x) be the reflection of f(x) = x^2 +3 in the x-axis. What is a function rule for g(x)
A
Let g(x) be the reflection of f(x) =3x+12 in the x-axis. What is a function rule for
A
Make a mapping diagram for the relation.{(-3, 1), (0, 6), (3, 2), (5, -1)}
A
One week you tell 3 of your friends a secret. The next week, each of them tells 3 people the secret and the next week each of those people tell 3 more people. So the first week, 3 new people know the secret, the second week 9 new people know the secret, the third week 27 new people know the secret, etc. How many people find out the secret on the 7th week?
A
Suppose a parabola has an axis of x=8 symmetry at , a maximum height of 1 and also passes through the point (9, -1). Write the equation of the parabola in vertex form
A
The dimensions in inches of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. The volume is about 7.6 ft3. Find the dimensions of the box in inches. Round to the nearest inch
A
The function f(x) = x^2 . The graph of f(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)
A
What is the rate of change for the interval between A and B
A
What is the rate of change for the interval between points A and C? Is it greater than, less than, or equal to the rate of change between points A and B?
A
determine which binomial is not a factor of 4x^4 - 21x^3 - 46x^2 + 219x +180
A
divide -14x^3 -840+ 14x by ( x+4)
A
divide -4x^3 +21x^2 -23x +6 by (x-4)
A
divide -6^3 +18x^2 -7x - 10 by (x-2)
A
divide x^3 + x^2 - x + 2 by x + 4
A
f(x) = x^2 ; g(x) = (x+5)^2 -9
A
point 5,6 slope 2/5
A
the line parallel to y= 8x-8 through (5, 2)
A
x^2 + 11x = -28
A
x^2 +16x
A
x^2 -9x + 18 =0
A
x^4 - 40x^2 + 144 = 0
A
x^4 -20x^2 = -64
A
y= -/3x-7/ +6
A
y= /8x-3/ -3
A
y=2x^2 +24x -16
A
y=x^2-12x+34
A
5a + 5b ; a = -6, b = -5
A -55
-3 (-4y + 3) + 7y
A 19y-9
A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary
A 7.5 cm by 22.5 cm
1/2 ___ 2/5
A >
3/4 __ 4/7
A >
26 + 6b ≥ 2(3b + 4)
A all real numbers
14 + 3x - 7 = 7x -4x
A always
x^2 = -7x + 7
A one solution
Classify -2x4 - x3 + 8x2 + 12 by degree
A quartic
-2y - 4 = 8-y
A y= -12
m = and the y-intercept is (0, -5)
A y=1/2x-5
yes no
A yes
For f(x) = -3x+6, find f(2)
A) 0
(-2, 18), (0, 4), (4, 24)
B
(4-i) (2+5i)
B
-2+i ------ -4-5i
B
-2x-y=-14 3x-y=11
B
-4x+4y < 4
B
-x^2 + 6x - 5 = 0
B
10/7
B
2x-y+z=-4 z=5 -2x+3y-z+-4
B
3x^2 = 21
B
A doctor's office schedules 15-minute appointments and half-hour appointments for weekdays. The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week
B
A jet ski company charges a flat fee of $27.00 plus $2.00 per hour to rent a jet ski. Another company charges a fee of $16.50 plus $3.75 per hour to rent the same jet ski.Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
B
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 155 square yards. The situation is modeled by the equation h^2+5h=155 . Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard
B
Find the domain and range of the relation
B
The equation -2x + 2y = -8 and the graph below each represent linear functions. Which has the greater slope, and what is its value?
B
The function f(x) = -6x . The graph of g(x) is f(x) vertically stretched by a factor of 7 and reflected in the x-axis. What is the function rule for g(x) ?
B
Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x^3 - 4x^2 +7x - 8 = 0 . Do not find the actual roots
B
What is a quartic polynomial function in standard form with zeros -2, 4, 4, and 3
B
Write -2x2(-5x2 + 4x3) in standard form
B
f(x) = x^4 -4x^3 +3x^2
B
is (x-2) a factor of P(x) = x^3 + 2x^2 - 6x - 4
B
the line perpendicular to y= 1/3x+5 through (2, 1)
B
v--- -360
B
what is element a12 in matrix A 2 2 4 -5 3 8 7 -2 9
B
write an inequality for the graph
B
x-2y-2z=2 5x+2y-4z=-2 -5y-5z=0
B
x3 + 2x2 - 15x
B
x^2-6x+8
B
x^3 - 2x^2 + 10x + 136 = 0
B
x^3 - 8 = 0
B
x^4 - 52x^2 + 576 = 0
B
y= -6.9x + 5.1
B
y=-2x^2+8x-20
B
y=-x^2 +2x-8
B
{(14, 9), (15, 8), (8, 7), (1, 9), (15, 2)}
B
-x^2 - 4x -4 ; x=-3
B -1
x + 18x + 81 = 25
B -4, -14
4c - 4d + 8c - 3d
B 12c - 7d
Your little sister has made up a card game where different types of cards are worth different points. Face cards (F) are worth 16 points, cards with red numbers (R) are worth 9 points, and cards with black numbers (B) are worth 6 points. What algebraic expression models the total number of points that you have in your hand?
B 135
A leaky valve on the water meter overcharges the residents for one gallon of water every months. The overcharged amount w varies directly with time t. Find the equation that models this direct variation. How many months it will take for the residents to be overcharged for 9 gallons of water?
B 3/10 30 months
4 (3h-6)/ 1+h ; h = -2
B 48
5 times the sum of a and b
B 5 ( a+b)
The product of a number and 5 is no more than 8
B 5n <_ 8
--3 ____ --7
B <
-40
B integers
During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 132°F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T= -0.005x^2 + 0.45x +125 . Will the temperature of the part ever reach or exceed 132°F? Use the discriminant of a quadratic equation to decide.
B no
0.125r 0.0625 + 0.25r = 0.25 + r
B r= -0.5
8x^2 - 11x = -3
B two real solutions
-5y - 9 = -(y-1)
B y= -2 1/2
(-2, -11.5), (0, -2.5), (4, -20.5)
C
(-2, -16), (0, -4), (4, -28)
C
(-2, 10) (10, -14)
C
(i) (-7i)
C
-1 + 3i
C
-11x-14y+9z=7 14x-11y-8z=12 13x+14y+9z=-7
C
-2 -3i ------ 6i
C
-2 -9/ 11 14 . -2/ 15
C
-2, 1, 4, 7
C
-3i
C
-3x^3 - x
C
-3x^5 +9x^4 + 5x^3 + 3
C
1/324, 1/108, 1/36, 1/12
C
125x^3 + 343 = 0
C
16x^2 +8x
C
16x^2 - 25
C
2x+4 >_ 22
C
2x+7 >23
C
2x^2 +x-4=0
C
2x^2+28x-8
C
5x^2-22x -15
C
5x^8 - 2x^7 - 8x^6 + 1
C
9x^2 - 18x + 9
C
9x^2 -12x +4
C
A food store makes a 11-lb mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use?
C
A rental car agency charges a flat fee of $138.00 plus $27.00 per day to rent a certain car. Another agency charges a fee of $47.00 plus $40.00 per day to rent the same car.Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole number of days..
C
Divide 4x^3 + 2x^2 + 3x + 4 by x + 4
C
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
C
Identify the vertex and the axis of symmetry of the graph of the function y=2(x+2)^2 -4
C
If a function f(x), is shifted to the left four unit(s), what function represents the transformation?
C
Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the equation of the parabola in vertex form
C
The function y=-0.024x^2 + 0.55x models the height y, in feet, of your pet frog's jump, where x is the horizontal distance, in feet, from the start of the jump. How far did the frog jump? How high did it go? Round your answer to the nearest hundredth
C
Use the vertex form to write the equation of the parabola
C
What steps transform the graph of y=x^2 to y= -(x+3)^2 +5
C
Which expression is equivalent to -x^2 +8x +75 = 13
C
f(x)= 4x^3 -12x^2 - 16x
C
point 6,-7 slope 4
C
use sythetic division to find P(-2) for P(x) = x^4 +9x^3 -9x +2
C
v-----144
C
x^2 - 64
C
x^2 -18x
C
y=-2x^2 +28x-10
C
y=5/7x-12
C
y=x^2 +8x-6
C
y=x^2-2x+8
C
For f(x) = -5x + 7 find f(2)
C -3
(-12, -4) and (11, -10)
C -6/23
x^2 - 8x + 16 = 16
C 0,8
You start with $15 and save $8 each week. What algebraic expression models the total amount you save?
C 15+8w
what is the sum of the solutions of 2 x-1 -4 = -2
C 2
Specialty t-shirts are being sold online for $15 each, plus a one-time handling fee of $2.25. The total cost is a function of the number of t-shirts bought. What function rule models the cost of the t-shirts ()? Evaluate the function for 3 t-shirts.
C 47.25
2 + 2k <_ 8
C K <_ 3
Pi= 10 = 10+ pi
C communative of adition
-4 (x+3) = -4x - 12
C distributive
--34
C irrational
8+6x-10 = 10x + 11 -4x
C never
2r - 9 ≥ -6
C r ≥1 1/2
-x^2 + 9x + 7 = 0
C two solutions
x+5 = 10
C x= -5
3 4x+3 - 3 = 6
C x=0 x = -1 1/2
m = 2 and the y-intercept is (0, 7)
C y=2x+7
-3y = -5x
C yes 5/3
(1-2i) + (-2 - 1)
D
--11
D
-2x^2-5x+5=0
D
-4x^2 + x = -4
D
-x-2y=7 3x+6y=6
D
-x^2 -x+42
D
2x^2 +16x+30
D
3/5x + 1/2y = 6
D
34, 28, 22, 16
D
3x^2 +25x +42 = 0
D
3x^2 +26x+35
D
40 fewer than a number t
D
4x^2 - 18x +20 =0
D
6x3 - 60x2 + 144x
D
7x+2y=11 4x-7y=-10
D
Identify the maximum or minimum value and the domain and range of the graph of the function y=2(x+2)^2 -3
D
The function below models a leap by your pet rabbit, which of the following would be an appropriate coefficient, c, for the x^2 term
D
The function h=10t^2 + 95 models the path of a ball thrown by a boy where h represents height, in feet, and t represents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea level where h = 0 ft, which is a likely place the boy could have been standing when he threw this ball?
D
The function y=-16t^2+486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second
D
What is a cubic polynomial function in standard form with zeros -4, -5, and 4
D
What is element a23 in matrix A A= 3 7 0 8 -4 6 0 -4 6
D
When Spheres-R-Us ships bags of golf balls, the number of balls in each bag must be within 6 balls of 300. Write a compound inequality and an absolute value inequality for an acceptable number of golf balls b in each bag.
D
Which of the following describes the translation of y= x to y= x+7 -2
D
Write an equation for the following transformation of y=x : a vertical compression by a factor of 1/4
D
Yesterday you borrowed $40 from your brother. Every day that you don't pay it back, you owe $.50 more. So today, day one, you owe him $40.50, on day two you will owe him $41.00, on day three you will owe him $41.50, etc. If you still haven't paid him back, how much will you owe him on day 17?
D
divide -3x^3 - 2x^2 - x -2 by x-2
D
sf
D
x^2 +14x +48
D
x^3 = 216
D
2x + 5 <_ 15
D -10 <_ x <_ 5
6,2 and 7,4
D 2
4b-4 + 3-b^2 +2b^3 ; b=2
D 21
The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 182 miles in 6.5 hours, how many miles will Olivia travel in 8.1 hours at the same constant speed?
D 226.8 mi
If y = 3.24 when x = 5.4, what is y when x = 9.1?
D 5.46
If y = 44 when x = -264, what is y when x = -486?
D 81
y + 2x = - 19
D no
Classify 8x4 + 7x3 + 5x2 + 8 by number of terms
D polynomial of 4 terms
S=5r^2 t, for t
D t=s/5r^2
T = 4u/e for u
D u=te/4
9x - 5 < -41 or 3x + 13 > 7
D x < -4 or x > -2
4x + 3 ≥ -17 and 7x - 4 ≤ 10
D x ≥ -5 and x ≤ 2
adsafdsf c
c
gaf
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