102 terms

Algebra 1/Algebra 2 EOC Study

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(4x + 3)^2
16x^2 + 9
-7,-4,-1,2,5 how much is it increasing or decreasing by
+3
The freshman class at a local high school is raising money to purchase decorations that cost $825 for the school dance. to date, the freshman class has raise $250. if the freshman plan to raise $40 per week for x weeks, which inequality can be used to determine how many weeks they will need to raise at least $825
40x + 250 ≥ 825
the current graph is y = 3x - 2 if the slope of the line is doubled, the new equation is y = 6x - 2 which of these is a correct comparison of the two lines
A. The x-intercept and y-intercept change
B. The x-intercept and y-intercept stay the same
C. the x-intercept changes and the y-intercept is the same.
D. the x intercept is the same, and the y intercept changes
C
6x^2 + 4x - 16
2(3x + 4)(x - 2)
A car mechanic charges a one time fee of $35 plus an additional $20 per hour of labor if an equation is created to determine the technicians total charge what does $35 represent
A. Coefficient
B. y - intercept
C. x Intercept
D. Slope
B
Find the Solution of
8x^2 + 2x = 7x^2 + 3
x = 1
x = -3
Which equation represents a non - Linear function
A. Y = x^3
B. Y = x/3
C. Y = 3
D. Y = 3x
A
find the product of
3x(x^2 + x - 4)
3x^3 + 3x^2 - 12x
The enrollment at High School A has been increasing by 20 students per year. Currently Highschool A has 300 students attending. High school B currently has 500 students, but its enrollment is decreasing in size by an average of 30 student per year. If the two schools continue their current enrollment trends over the next few years, how many years will it take the schools to have the same enrollment.
4 years
Students were asked to write a trinomial that could not be factored using integers.
tom wrote: x^2 + 5x - 14
jason wrote: x^2 + 2x - 8
Katie wrote: x^2 + 5x - 3
Natalie wrote x^2 + 6x + 5
which student followed the given directions.
A. Katie
B. Tom
C. Natalie
D. Jason
A
Sarah has graphed the equation x^2 - 2. If jordan graphs x^2 - 5 where was his graph be in relation to the graph sarah made
-3
Which expression represent sthe output of the nth term.
Input: 1, 2, 3, 4, 5, n
Output:1, 4, 7, 10, 13 _
3n - 2
what is the solution for the system of equations
y = 2x - 5
4x - 3y = 33
(-9, -23)
a group of students surveyed classmates about how far each student travels to school each day, in miles. ten students responses were selected at random.
37, 15, 18, 10, 14, 4, 7, 28, 9, 10
The student who lives 37 miles from school decides to transfer to a closer school. once this number is removed from the set above, by how much does the median change.
5
given two equations of lines:
y = -1/8x + 3 and -2y = 1/4x - 6
A. they are different lines with the same slope.
B. they are the same line, both with a slope of -1/8 and a y intercept of 3
C. They are different lines with the same y intercept
D. They are the same lnie , both with a slope of 1/4 and a y intercept - 6
C
What formula can be used to find the terms of this pattern.
2, -6, 18, -54
*-3
(3x + 2)(x - 4) - 3x^2 + 5x + 40
-5x + 32
which equation represents a linear function.
A. y = 2x + 3
B. xy = 5
C. y = x^2 + 1
D. x = 3/y
...
what is the y coordinate in the solution for te system of linear equations below
-4x + 3y = 22
2x - y = -4
14
3x^2y^4
__________
6x^5 y^2
1y^2/2x^3
John and mary begin at the same place and drive opposite directions at constant rates. John Dives 10 miles per hour faster than mary. after 2 hours, they are 108 miles apart. if mary's car gets 20 miles per gallon how many gallons of gas did she use.
2.2
sand has a total of 30 coins in her money jar. If sandy's jar contains only nicklels and dimes and the value of all the coins is $1.50 how many nickles does sandy have?
30
A line is represented by the equation 5x + 2y = 6
what is another way to represent the same line
A. y = 5/2x + 3
B. y = -5/2x + 6
C. y = -5/2x + 3
D. y = 5/2x + 6
C
what is the equation of the function represented by this table of values
x: -2, -1, 0, 1, 2
y: 2/9, 2/3, 2, 6, 18
A. y =3x +2
B. y = 2 * 3^x
C. y = 3 * 2^x
D. y = 4x + 2
B
whats the solution to the following inequality
1/2(4 - x) ≤ -2
A. x ≤ 8
B. x < 0
C. x ≥ 8
D. x ≥ 0
C
The director of a play must decide how much to charge per ticket. if tickets cost c dollars each, a total of (50 - 3c) people will attend the play. Which ticket price will generate the most income.
A. $1.00
B. $15.50
C. $20.50
D. $7.00
D
fore the quadratic function, find the y intercept, the equation of the axis of symmetry, and x - coordinate of the vertex
f(x) = 3x 2
y = 0
aos = 0
v = (0, 0)
fore the quadratic function, find the y intercept, the equation of the axis of symmetry, and x - coordinate of the vertex
f(x) = x^2 + 1
y = 1
aos = 0
V = (0, 1)
fore the quadratic function, find the y intercept, the equation of the axis of symmetry, and x - coordinate of the vertex
f(x) = -x^2 +6x - 16
y = -15
aos = 3
V = (3, -6)
fore the quadratic function, find the y intercept, the equation of the axis of symmetry, and x - coordinate of the vertex
f(x) = 2x^2 - 11
y = -11
aos = 0
V = (0.-11)
fore the quadratic function, find the y intercept, the equation of the axis of symmetry, and x - coordinate of the vertex
f(x) = x^2 - 10x + 5
y = 5
aos = 5
V = (5, -20)
fore the quadratic function, find the y intercept, the equation of the axis of symmetry, and x - coordinate of the vertex
f(x) = -2x^2 + 8x + 7
y = 7
aos = 3/2
V = ( 3/2, 23/2)
Determine whether each function has a maximum or a minimum value, and find the maximum or minimum value. Then state the domain and range of the funtion
f(x) = 6x^2
min y = 0
Determine whether each function has a maximum or a minimum value, and find the maximum or minimum value. Then state the domain and range of the funtion
f(x) = -8x^2
max y = 0
Determine whether each function has a maximum or a minimum value, and find the maximum or minimum value. Then state the domain and range of the funtion
f(x) = x^2 +2x
min y = -1
Determine whether each function has a maximum or a minimum value, and find the maximum or minimum value. Then state the domain and range of the funtion
f(x) = x^2 +2x + 15
min y = 14
Determine whether each function has a maximum or a minimum value, and find the maximum or minimum value. Then state the domain and range of the funtion
f(x) = -x^2 + 4 - 1
max y = 3
Solve by factoring.
6x^2 - 2x = 0
x = 0
x = 1/3
Solve by factoring.
x^2 = 7x
x = 0
x = 7
Solve by factoring.
20x^2 = -25x
x = 0
x = 5/4
Solve by factoring.
3x^2 + 2x - 21 = 0
x = 7/3
x = -3
Solve each equation by using the square root property.
x^2 - 18x + 81 = 49
x = 16
x = 2
Solve each equation by using the square root property.
x^2 + 20x + 100 = 64
x = -2
x = -18
Solve each equation by using the square root property.
4x^2 + 4x + 1 = 16
x = 3/2
x = -5/2
Find the value of the c that makes the trinomial a perfect square.
x^2 - 10x + c
c = 25
Find the value of the c that makes the trinomial a perfect square.
x^2 + 60x + c
c = 900
Find the value of the c that makes the trinomial a perfect square.
x^2 - 3x + c
c = 9/4
Solve the equation by using the quadratic formula.
x^2 + 2x - 35 = 0
x = 5, -7
Solve the equation by using the quadratic formula.
x^2 + 10x +24 = 0
x = 6, 5
Solve the equation by using the quadratic formula.
x^2 - 11x + 24 = 0
x = -8, -3
Simplify.
12m^8 y^6
_____________
-9my^4
4m^7y^2/-3
Simplify.
-27x^3(-x^7)
_______________
16x^4
27x^6/16
Simplify. The parenthesis is for the top and bottom of the equation.
(3d^2f^4)^4 ( -4d^5f)^3
___ ___
(2) (3)
-12d^23f^19
Simplify. The parenthesis is for the top and bottom of the equation.
(2x^3y^2)^-2
__________
(-x^2y^5)
-y^6/4x^2
Simplify.
(6x^2 - 3x + 2) - (4x^2 + x - 3)
3x^4 +
Simplify.
(7y^2 + 12xy 5x^2) + (6xy - 4y^2 - 3x^2)
3y^2 + 18xy - 8x^2
Simplify.
(-4m^2 - 6m) - (6m + 4m^2)
-8m^2 - 12m
Simplify.
(5a + 7)(5a - 7)
35a^2 - 49
Simplify.
(3x^2 - 1)(2x^2 + 5x)
6x^4 + 15x^3 - 2x^3 - 5x
Simplify.
(x + 1)(2x^2 - 3x + 1)
3x^3 - x^2 - x + 1
State the degree and leading coefficient of each polynomial in on variable. If it is not a polynomial in on variable explain why.
3x^4 + 6x^3 - x^2 + 12
D: 4 C.C. 3
State the degree and leading coefficient of each polynomial in on variable. If it is not a polynomial in on variable explain why.
4x^2 - 3xy + 16y
No
State the degree and leading coefficient of each polynomial in on variable. If it is not a polynomial in on variable explain why.
x^2/18 - x^6/25 + x^3/36 - 1/72
D: 6 C.C. -1/35
find f(2) and f(-5) for each function.
f(x) = x^2 - 9
f(2) = -5
f(5) = 16
find f(2) and f(-5) for each function.
f(x) = 4x^2 - 3x^2 + 2x - 1
f(2) = 23
f(5) = 434
find f(2) and f(-5) for each function.
f(x) = 9x^3 - 4x^2 + 5x + 7
f(2) = 73
f(5) = 1057
given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials.
x^3 + x^2 - 10x + 8 ; x - 2
(x - 2)(x - 1)(x + 4)
given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials.
x^3 + 15x^22 + 105 ; x + 7
(x + 7)(x + 3)(x + 5)
given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials.
x^3 - 7x^2 - 26x + 72 ; x + 4
(x + 4)(x - 9)(x - 2)
Simplify the expression.
w^2 - 5w - 24/w + 1 * w2 - 6w - 7/w + 3
x - 5/6x(x - 4)
Simplify the expression.
x^2 - 5x + 4/2x - 8 -:- (3x^2 - 3x)
(x + 7)(x +3)(x+5)
Simplify the expression.
16a^2 + 40a +25/3a 2 - 10a - 8 -:- 4a + 5/a^2 - 8a + 16
(x + 4)(x - 9)(x - 2)
Simplify the expression.
-7xy/3x + 4y^2/2y
-y/3
Simplify the expression.
4a/3bc + 15b/5ac
-9b^2 - 4a^2/3abc
Simplify the expression.
4/4x^2 - 4x - 4x + 1 - 5x/20x^2 - 5
-2x^2 + 9x + 4/ (2x - 1)^2(2x+1)
Determine the equation of any vertical asymptote and the values of x for any holes in the graph of the rational function.
f(x) = 4/x^2 + 3x - 10
V.A. = -5, 2
Determine the equation of any vertical asymptote and the values of x for any holes in the graph of the rational function
f(x) = 3x - 1/ 3x^2 + 5x - 2
V.A. x = -2
P.D. x = 1/3
Determine the equation of any vertical asymptote and the values of x for any holes in the graph of the rational function
3x^2 - 5x - 2/x + 3
V.A. = -3
Solve each equation or inequality.
3b - 2/b + 1 = 4 - b + 2/ b - 1
x = 4
Solve each equation or inequality.
r/r + 4 + 4/r - 4 = r^2 + 16/ r^2 - 16
no solution
Solve each equation or inequality.
3 = 6a - 1/2a + 7 + 22/a + b
x = -2
−20 = −4x − 6x
x = 2
x = √8x
0, 8
√110 - n = n
10
√7a - 54 - a = -6
9, 10
-3 + √m + 59 = m
5
A passenger plane made a trip to Las Vegas
and back. On the trip there it flew 432 mph
and on the return trip it went 480 mph. How
long did the trip there take if the return trip
took nine hours?
10 hours
A cattle train left Miami and traveled toward
New York. 14 hours later a diesel train left
traveling at 45 km/h in an effort to catch up
to the cattle train. After traveling for four
hours the diesel train finally caught up.
What was the cattle train's average speed?
10 km/h
Jose left the airport and traveled toward the
mountains. Kayla left 2.1 hours later
traveling 35 mph faster in an effort to catch
up to him. After 1.2 hours Kayla finally
caught up. Find Jose's average speed.
6 hours
Working alone, Ryan can dig a 10 ft by 10 ft
hole in five hours. Castel can dig the same
hole in six hours. How long would it take
them if they worked together?
2.73 hours
Working alone, Dan can sweep a porch in
15 minutes. Alberto can sweep the same
porch in 11 minutes. If they worked
together how long would it take them?
6.35 minutes
Ryan can paint a fence in ten hours. Asanji
can paint the same fence in eight hours. If
they worked together how long would it take
them?
4.44 hours
2 m³ of soil containing 35% sand was mixed
into 6 m³ of soil containing 15% sand. What
is the sand content of the mixture
20%
How many mg of a metal containing 45%
nickel must be combined with 6 mg of pure
nickel to form an alloy containing 78%
nickel?
4 mg
Find the slope of the line through each pair of point
(19, −16), (−7, −15)
-1/26
Find the slope of the line through each pair of point
(17, −13), (17, 8)
Undefined
Find the slope of the line through each pair of point
(19, −2), (−11, 10)
-2/5
Find the slope of the line through each pair of point
(12, 2), (−7, 5)
-3/19
-1 < 9 + n < 17
-10 < n < 8
x + 8 ≥ 9 and x/7 ≤ 1
1 ≤ x ≤ 7
r + 5 ≥ 12 or r/9 < 0
r ≥ 7 or r < 0
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