Algebra II January Team Questions

Algebra II Question #1

A = the area of the region enclosed by the graph of 9x

B= the area of the region enclosed by the graph of .

Find A+B.

Algebra II Question #2

A= f(5)-g(2)

B= g[g[f(0)]

C= g[g(3)]

Find 2A+B+C.

Algebra II Question #3

Find two numbers, n and n + 61, both of which are perfect squares. Find two other numbers, m and m+ 61, both of which are perfect cubes. What is n- m?

Algebra II Question #4

A= remainder when .

B=sum of the solutions for =0.

C= the number of real negative solutions for 2=0.

Find A-B-C.

Algebra II Question #5

log(x-1) + 1= logx

(log81)(log16)= y

log()= z

Find 3x –y -9z.

Algebra II Question #6

The lowest integral upper bound of the roots for the given equation is at x=3. Find the greatest integral value of k.

Algebra II Question #7

A spectacular Geo Metro can hold up to 4 quarts of a mixture in the antifreeze container. It currently is full and is made up of 60% water and 40% antifreeze. Your goal is to create a mixture that is 50% antifreeze and 50% water and is filled to capacity. How many quart(s) should be drained and then added back with pure antifreeze?

Algebra II Question #8

Find the sum of the positive distances from the center to the focus of each of the following conics.

Algebra II Question #9

For the complex number z= 5-12i, let A =.

B is the discriminant of -3=0.

C is the number of integral values that are solutions to <7.

D is the negative solution of .

Find A-B-C-D.

Algebra II Question #10

Simplify, where i=

A=

B=

C=

Find A-B+C.

Algebra II Question #11

A= the opposite of the geometric mean of 2 and 50

B= the arithmetic mean of 2 and 50

C= the harmonic mean of 2 and 50

D= the number of positive integral factors of 2009.

Find A + B +26 C+ D.

Algebra II Question #12

A varies jointly with x and y. When x=2 and y=3, A=60. Find the value of A when x=4 and y=5.

B varies inversely with y. When B=3, y=4. Find the value of B when y= -2.

C varies directly with x and inversely with y. When x=10 and y=4, c=12. Find the value of C when x=5 and y=12.

Find the value of A+B+C.

Algebra II Question #13

Given:

Find xy.

Algebra II Question #14

A= the sum of the coefficients in the expansion of (.

B= the constant term in the expansion of (3x-).

C= the coefficient of the xterm in the expansion of (x-5y)

Find A + B – C.

Algebra II Question #15

The perimeter of a rectangular backyard is 80 meters. It is 3 times as long as it is wide. Let C= the width of the rectangle.

A collection of nickels and quarters totals $4.65 and there are 45 total coins. Let A= the number of quarters.

Regina is 5 times as old as Barry. In 4 years, she will be four times as old as Barry. Let B= Barry’s age.

Find A+B+C.

Algebra II Question #1

A = the area of the region enclosed by the graph of 9x

B= the area of the region enclosed by the graph of .

Find A+B.

Algebra II Question #2

A= f(5)-g(2)

B= g[g[f(0)]

C= g[g(3)]Find 2A+B+C

Algebra II Question #3

Find two numbers, n and n + 61, both of which are perfect squares. Find two other numbers, m and m+ 61, both of which are perfect cubes. What is n- m?

Algebra II Question #4

A= remainder when .

B=sum of the solutions for =0.

C= the number of real negative solutions for 2=0.

Find A-B-C.

Algebra II Question #5

log(x-1) + 1= logx

(log81)(log16)= y

log()= z

Find 3x –y -9z

Algebra II Question #6

The lowest integral upper bound of the roots for the given equation is at x=3. Find the greatest integral value of k.

Algebra II Question #7

A spectacular Geo Metro can hold up to 4 quarts of a mixture in the antifreeze container. It currently is full and is made up of 60% water and 40% antifreeze. Your goal is to create a mixture that is 50% antifreeze and 50% water and is filled to capacity. How many quart(s) should be drained and then added back with pure antifreeze?

Algebra II Question #8

Find the sum of the positive distances from the center to the focus in each of the following conics.

Algebra II Question #9

For the complex number z= 5-12i, let A =.

B is the discriminant of -3=0.

C is the number of integral values that are solutions to <7.

D is the negative solution of .

Find A-B-C-D.

Algebra II Question #10

Simplify, where i=

A=

B=

C=

Find A-B+C.

Algebra II Question #11

A= the opposite of the geometric mean of 2 and 50 B= the arithmetic mean of 2 and 50 C= the harmonic mean of 2 and 50 D= the number of integral factors of 2009. Find A + B +26 C+ D.

Algebra II Question #12

A varies jointly with x and y. When x=2 and y=3, A=60. Find A when x=4 and y=5.

B varies inversely with y. When B=3, y=4. Find B when Y= -2.

C varies directly with x and inversely with y. When x=10 and y=4, c=12. Find C when x=5 and y=12.

A+B+C

Algebra II Question #13

Given: Find xy.

Algebra II Question #14

A= the sum of the coefficients of the expansion of (B= the constant term in the expansion of (3x-)C= the coefficient of the xin the expansion of (x-5y). Find A+B-C

Algebra II Question #15

The perimeter of a rectangular backyard is 80 meters . It is 3 times as long as it is wide. Let C= the width of the rectangle.

A collection of nickels and quarters totals $4.65 and there are 45 total coins. Let A= the number of quarters.

Regina is 5 times as old as Barry. In 4 years, she will be four times as old as Barry. Let B= Barry’s age.

Find A+B+C.