Algebra 1/Algebra 2 EOC Study

what is the solution for the system of equations y = 2x - 5 4x - 3y = 33

(-9, -23)

Simplify the expression. 16a^2 + 40a +25/3a 2 - 10a - 8 -:- 4a + 5/a^2 - 8a + 16

(x + 4)(x - 9)(x - 2)

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)

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)

Simplify the expression. x^2 - 5x + 4/2x - 8 -:- (3x^2 - 3x)

(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 + x^2 - 10x + 8 ; x - 2

(x - 2)(x - 1)(x + 4)

What formula can be used to find the terms of this pattern. 2, -6, 18, -54

*-3

-7,-4,-1,2,5 how much is it increasing or decreasing by

+3

Find the slope of the line through each pair of point (19, −16), (−7, −15)

-1/26

-1 < 9 + n < 17

-10 < n < 8

Simplify. The parenthesis is for the top and bottom of the equation. (3d^2f^4)^4 ( -4d^5f)^3 ___ ___ (2) (3)

-12d^23f^19

Find the slope of the line through each pair of point (19, −2), (−11, 10)

-2/5

Simplify the expression. 4/4x^2 - 4x - 4x + 1 - 5x/20x^2 - 5

-2x^2 + 9x + 4/ (2x - 1)^2(2x+1)

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

Find the slope of the line through each pair of point (12, 2), (−7, 5)

-3/19

(3x + 2)(x - 4) - 3x^2 + 5x + 40

-5x + 32

Simplify. (-4m^2 - 6m) - (6m + 4m^2)

-8m^2 - 12m

Simplify the expression. 4a/3bc + 15b/5ac

-9b^2 - 4a^2/3abc

Simplify the expression. -7xy/3x + 4y^2/2y

-y/3

Simplify. The parenthesis is for the top and bottom of the equation. (2x^3y^2)^-2 __________ (-x^2y^5)

-y^6/4x^2

x = √8x

0, 8

x + 8 ≥ 9 and x/7 ≤ 1

1 ≤ x ≤ 7

√110 - n = n

10

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

what is the y coordinate in the solution for te system of linear equations below -4x + 3y = 22 2x - y = -4

14

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

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

Solve each equation by using the square root property. 4x^2 + 4x + 1 = 16

x = 3/2 x = -5/2

Solve each equation or inequality. 3b - 2/b + 1 = 4 - b + 2/ b - 1

x = 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 by factoring. 3x^2 + 2x - 21 = 0

x = 7/3 x = -3

Solve each equation or inequality. 3 = 6a - 1/2a + 7 + 22/a + b

x = -2

Solve the equation by using the quadratic formula. x^2 - 11x + 24 = 0

x = -8, -3

Solve by factoring. 6x^2 - 2x = 0

x = 0 x = 1/3

Solve by factoring. 20x^2 = -25x

x = 0 x = 5/4

Solve by factoring. x^2 = 7x

x = 0 x = 7

Find the Solution of 8x^2 + 2x = 7x^2 + 3

x = 1 x = -3

Solve each equation by using the square root property. x^2 - 18x + 81 = 49

x = 16 x = 2

−20 = −4x − 6x

x = 2

Solve each equation by using the square root property. x^2 + 20x + 100 = 64

x = -2 x = -18

(4x + 3)^2

16x^2 + 9

3x^2y^4 __________ 6x^5 y^2

1y^2/2x^3

6x^2 + 4x - 16

2(3x + 4)(x - 2)

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

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

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%

Simplify. -27x^3(-x^7) _______________ 16x^4

27x^6/16

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

Simplify. (5a + 7)(5a - 7)

35a^2 - 49

Which expression represent sthe output of the nth term. Input: 1, 2, 3, 4, 5, n Output:1, 4, 7, 10, 13 _

3n - 2

find the product of 3x(x^2 + x - 4)

3x^3 + 3x^2 - 12x

Simplify. (x + 1)(2x^2 - 3x + 1)

3x^3 - x^2 - x + 1

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

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

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

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

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

Simplify. 12m^8 y^6 _____________ -9my^4

4m^7y^2/-3

-3 + √m + 59 = m

5

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

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

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

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

Simplify. (3x^2 - 1)(2x^2 + 5x)

6x^4 + 15x^3 - 2x^3 - 5x

√7a - 54 - a = -6

9, 10

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

Which equation represents a non - Linear function A. Y = x^3 B. Y = x/3 C. Y = 3 D. Y = 3x

A

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

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

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

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

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

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

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

Find the slope of the line through each pair of point (17, −13), (17, 8)

Undefined

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

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

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 - 3x + c

c = 9/4

Find the value of the c that makes the trinomial a perfect square. x^2 + 60x + c

c = 900

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

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 + 4 - 1

max y = 3

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) = 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) = x^2 +2x + 15

min y = 14

Solve each equation or inequality. r/r + 4 + 4/r - 4 = r^2 + 16/ r^2 - 16

no solution

r + 5 ≥ 12 or r/9 < 0

r ≥ 7 or r < 0

Simplify the expression. w^2 - 5w - 24/w + 1 * w2 - 6w - 7/w + 3

x - 5/6x(x - 4)

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 +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) = 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 - 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)