Part 2

Which statement is true about the factorization of 30x2 + 40xy + 51y2?

Not A

For the polynomial 6xy2 - 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing exponent of the y-term must be .

1

Natalia is writing a recursive formula to represent the sequence. 8, 12, 18, 27, ... What value should she use as the common ratio in the formula? Write the answer as a decimal rounded to the tenths place.

1.5

Isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343, ... What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

1.75

Which terms could have a greatest common factor of 5m2n2? Check all that apply.

5m4n3 15m2n2

The product of a + 3 and -2a2 + 15a + 6 is -2a3 + xa2 + 51a + 18. What is the value of x?

9

Which is the graph of g(x) = 2x - 1 + 3?

A.

The polynomial x3 + 8 is equal to

A. (x + 2)(x2 - 2x + 4).

Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form?

A. -2p2 - 11p - 35

What is the greatest common factor of 4k, 18k4, and 12?

A. 2

Which polynomial is represented by the algebra tiles?

A. 2x2 - 4x - 6

Julian fully simplifies this polynomial and then writes it in standard form. 4x2y2 - 2y4 - 8xy3 + 9x3y + 6y4 - 2xy3 - 3x4 + x2y2 If Julian wrote the last term as -3x4, which must be the first term of his polynomial in standard form?

A. 4y4

Which expression is equivalent to 10x2y + 25x2?

A. 5x2(2y + 5)

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

A. 7ab3

Which graph represents a geometric sequence?

B.

Which algebraic expression is a polynomial with a degree of 5?

B. 2xy4 + 4x2y3 - 6x3y2 - 7x4

What is the factored form of 8x2 + 12x?

B. 4x(2x + 3)

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?

B. 6y3 + 17y2 + 22y + 15

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?

B. It has 2 terms and a degree of 3.

Which statement is true about the polynomial 5s6t2 + 6st9 - 8s6t2 - 6t7 after it has been fully simplified?

B. It has 3 terms and a degree of 10.

Which polynomial is represented by the algebra tiles?

B. x2 - x + 4

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

C.

Alina fully simplifies this polynomial and then writes it in standard form. xy2 - 2x2y + 3y3 - 6x2y + 4xy2 If Alina wrote the last term as 3y3, which must be the first term of her polynomial in standard form?

C. -8x2y

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

C. 3x + 13

Which graph is the sequence defined by the function f(x) = 3(2)x-1?

D.

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x - 3. What is AB - C2 in simplest form?

D. 3x3 + x2 + 6x - 9

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy3 - 4y4 - 10x2y2 + x3y + 3x4 + 2x2y2 - 9y4

D. 3x4 + x3y - 8x2y2 + 9xy3 - 13y4

What is the greatest common factor of 24s3, 12s4, and 18s?

D. 6s

Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4?

D. Shift f(x) = 3x one unit to the left and four units up.

f(x)=7x g(x)=7x+6 Which statement about f(x) and its translation, g(x), is true?

D. The asymptote of g(x) is the asymptote of f(x) shifted six units up.

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?

D. a base area of 16y2 square units and height of y2 + y + 3 units

What is the domain of f(x) = 5x - 7?

D. {x | x is a real number}

Which algebraic expression is a trinomial?

D.x6 - x +

Which algebraic expression is a polynomial with a degree of 4?

Not A B

The graphs of f(x) = 10x and its translation, g(x), are shown. What is the equation of g(x)?

Not B

The graph shows that f(x) = 3x is translated horizontally and vertically to create the function g(x) = 3x - h + k. What is the value of h?

2

The points shown on the graph represent the numbers in a geometric sequence. What is the initial value of the sequence?

2

Lena is asked to write an explicit formula for the graphed geometric sequence. What value, written as a decimal, should Lena use as the common ratio?

2.5

What number fills in the blank to complete the factorization of 3x + 24? (x + 8)

3

What are the domain, range, and asymptote of h(x) = (1.4)x + 5?

A. domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

1.2, 3, 7.5, 18.75, ... Which formula can be used to describe the sequence?

A. f(x) = 1.2(2.5)x - 1

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 - 2m6 + 5m2n4 - m3n3 + n6 - 4m6 + 9m2n4 - mn5 - 4m3n3

A. n6 + 7mn5 + 14m2n4 - 5m3n3 - 6m6

The graph shows f(x) = (1/2)x and its translation, g(x). Which describes the translation of f(x) to g(x)?

A. translation of four units up

What is the range of f(x) = (3/4)x - 4?

A. {y | y > -4}

Which is true about the polynomial -3xy2 + 5x2y?

B. It is a binomial with a degree of 3.

Which is true about the polynomial -8m3 + 11m?

B. It is a binomial with a degree of 3.

Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x - 3)(5x2 - 2x + 7). In which step did Fiona make an error?

B. Step 2

Chin made an error in his chart showing the multiplication of the binomial by the trinomial. Which change can be made to correct the chart?

B. The expression 6x should be 6x2.

What are the domain, range, and asymptote of h(x) = 6x - 4?

B. domain: {x | x is a real number}; range: {y | y > -4}; asymptote: y = -4

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Which explicit formula can be used to model the same sequence?

B. f(x) = 3(4)x − 1

What is the range of f(x) = 3x + 9?

B. {y | y > 9}

A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?

C. 0.989

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous month's total. She writes a recursive formula to describe the account balances. Which value should she use as the common ratio?

C. 1.05

For the polynomial -2m2n3 + 2m?n3 + 7n2 - 6m4 to be a binomial with a degree of 4 after it has been fully simplified, which must be the missing exponent on the m-term?

C. 2

What is the product of (2p + 7)(3p2 + 4p - 3)?

C. 6p3 + 29p2 + 22p - 21

Which algebraic expression is a polynomial with a degree of 2?

D. 6x2 − 6x + 5

Which algebraic expression is a polynomial?

D. 7mm+3m/2+5n/4

What is the product? (4y − 3)(2y2 + 3y − 5)

D. 8y3 + 6y2 − 29y + 15

The graphs of f(x) = 5x and its translation, g(x), are shown on the graph. What is the equation of g(x)?

D. g(x) = 5x - 10

What is the common ratio of the sequence? -2, 6, -18, 54,...

Not B

Which formula can be used to describe the sequence? -2/3, −4, −24, −144,...

Not B

What are the domain, range, and asymptote of h(x) = 2x + 4?

Not B D

Which set of steps will translate f(x) = 6x to g(x) = 6x - 5 - 7?

Not D

640, 160, 40, 10, ... Which correctly describe the graph of the geometric sequence? Check all that apply.

The domain will be the set of natural numbers. The graph will show exponential decay.