Quiz about CATEGORY 1 - Supporting Standard 10.A

Question 1

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend. Divide $$12x^2 - 3x$$ by $$3x$$ .

Accepted Answer

4x + 1

Accepted Answer

4x - 1

Answer

4x - 3x

Answer

$$4x^2 - 1$$

Question 2

What is the quotient of $$4y^2 + 8y + 20$$ and $$2y$$ ?

Accepted Answer

2y + 4 + 10/y

Answer

2y + 4 + 10

Answer

$$2y^2 + 4y + y/10$$

Answer

2y - 4y - 10

Question 3

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend. A table top has an area represented by $$b^2 - 4b - 12$$ . If the length of the table is $$b + 2$$ , which expression represents the width?

Accepted Answer

b - 6

Accepted Answer

b + 4

Answer

b + 6

Answer

b - 4

Question 4

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend. What is the result when $$n^2 + 6n - 15$$ is divided by $$n - 3$$ ?

Accepted Answer

n + 9 + 12/(n - 3)

Accepted Answer

n - 9 + 12/(n - 3)

Answer

n + 9 + 12/n

Answer

n - 9

Question 5

What is the remainder when $$2p^2 + 5p - 7$$ is divided by $$p + 1$$ ?

Accepted Answer

-4

Answer

-10

Answer

4

Answer

10

Question 6

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend. What is quotient of $$4x^2 - 8$$ and $$2x + 3$$ ?

Accepted Answer

2x - 3 - 17/(2x + 3)

Accepted Answer

2x - 3 + 1/(2x + 3)

Accepted Answer

2x - 3 - 1/(2x + 3)

Answer

2x - 3 + 1/(2x)

Question 7

Which expression is equivalent to 3x(x + 7)?

Accepted Answer

$$3x^2 + 21$$

Accepted Answer

$$3x^2 + 21x$$

Answer

$$3x^2 + 7$$

Answer

3x + 21

Question 8

Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property. Simplify: 4(x - 2) - (3x + 1)

Accepted Answer

A. x - 7

Accepted Answer

B. x - 9

Answer

C. 7x - 9

Answer

D. 7x - 8

Question 9

Which expression is equivalent to 2d + 7?

Accepted Answer

1/2(4d - 3) + 10

Accepted Answer

1/2(4d - 6) + 10

Answer

2(d + 3) - 1

Answer

2(d - 3) + 10

Question 10

In which step does a mistake first appear in simplifying the expression 3x(y + 1) - 5(x - 6) + y(4x + 7)?

Accepted Answer

Step 2

Answer

Step 1

Answer

Step 3

Answer

Step 4

Question 11

Which expression is not equivalent to $$4n^2 - 6n + 12$$ ?

Accepted Answer

$$4n^2 - 6(n - 2)$$

Answer

2n(2n - 3) + 12

Answer

$$2(2n^2 - 3n + 6)$$

Answer

$$4n^2 - 6(n - 6)$$

Question 12

Factor, if possible, trinomials with real factors in the form $$ax^2 + bx + c$$ , including perfect square trinomials of degree two. Which trinomial can represent the area of a square?

Accepted Answer

$$4x^2 - 14x + 49$$

Accepted Answer

$$4x^2 - 28x + 49$$

Answer

$$x^2 - x + 1$$

Answer

$$x^2 - 2x + 2$$

Question 13

Which binomials have the product $$y^2 - 2y - 48$$ ?

Accepted Answer

(y - 12) and (y + 4)

Accepted Answer

(y + 8) and (y - 6)

Answer

(y + 12) and (y - 4)

Answer

(y - 8) and (y + 6)

Question 14

Which expression is equivalent to $$\sqrt[4]{x^7}$$ ?

Accepted Answer

$$x^{\frac{7}{4}}$$

Accepted Answer

$$x^{\frac{7}{4}}$$

Answer

$$\sqrt[7]{x}$$

Answer

$$(x^4)^7$$

Question 15

Simplify $$16^{3/4}$$ .

Accepted Answer

8

Answer

12

Answer

6

Answer

4

Question 16

Simplify the expression: $$\sqrt{x^6y^{10}}$$ .

Accepted Answer

A) $$x^3y^5$$

Answer

B) $$x^4y^8$$

Answer

C) $$x^8y^{10}$$

Answer

D) $$x^{\frac{1}{3}}y^{\frac{1}{5}}$$

Question 17

Simplify the expression: $$\left( \frac{a^3b^5}{a^5b^3} \right)^5$$

Accepted Answer

$$\frac{a^{15}}{b^{25}}$$

Answer

$$(ab)^4$$

Answer

$$a^3b$$

Answer

$$a^8b^6$$

Question 18

Which expression is not equivalent to $$(mn^2)^{\frac{3}{4}}$$ ?

Accepted Answer

$$\sqrt{mn^2}$$

Answer

$$\sqrt[4]{m^3n^6}$$

Answer

$$m^{\frac{3}{4}}n^{\frac{6}{4}}$$

Answer

$$\sqrt[3]{(mn^2)^4}$$

Question 19

Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function. Which of the following relationships is not a function?

Accepted Answer

Diagram with x: -7, -5, -2 and y: 10, 20, 30

Answer

Ounces Purchased and Price Paid table.

Question 20

Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function. Which of the following tables represents a function? A) x: -2, 0, -1, -2 and y: 5, 5, 6, 6 B) x: -6, 0, 2, -4 and y: -6, 0, 2, -4 C) x: -5, 5 and y: -3, 0, 2, 4 D) x: 7 and y: -3, -1, 1, 3. Options: A, B, C, D. Answer: B

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 21

Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function. Which set of ordered pairs could belong to a function? A) {(3, 5), (4, 6), (5, 7), (6, 8), (4, 9)} B) {(3, 5), (4, 5), (5, 5), (4, 5), (3, 5)} C) {(1, 5), (1, 6), (1, 7), (1, 8), (1, 9)} D) {(-6, 5), (-5, 6), (-4, 7), (4, 8), (5, 9)}.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 22

Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function. Which situation is most likely to describe a function?

Accepted Answer

C) The price of a bag of potatoes is related to the total weight of the potatoes.

Answer

A) The number of pages in a book is related to the number of chapters.

Answer

B) The number of bathrooms in a house is related to the number of bedrooms.

Answer

D) Children's weights are related to their ages.

Question 23

A function is defined by $$f(x) = 3x^2 - 7$$ . What is the value of $$f(-4)$$ ?

Accepted Answer

-19

Answer

-55

Answer

41

Answer

17

Question 24

If f(x) = 5(x - 1), what are the values of f(-2) and f(12.2)?

Accepted Answer

A) -15 and 56

Accepted Answer

D) -15 and 60.5

Answer

B) 15 and 56

Answer

C) 2 and 60.5

Question 25

If the function P(d) = 14.7 + 0.44d represents the pressure we experience in the ocean at a depth of d feet, then P(10) is the pressure 10 feet below the surface. What is the value of P(10)?

Accepted Answer

19.1 pounds per square inch

Answer

44 pounds per square inch

Answer

10.7 pounds per square inch

Answer

54.7 pounds per square inch

Question 26

The domain of f(x) = $$2x^2 + 11$$ is {0, 2, 4}. What is the range?

Accepted Answer

{11, 15, 27}

Accepted Answer

{12, 15, 27}

Answer

{11, 15, 19}

Answer

{12, 13, 15}

Question 27

Katie makes fancy hair bows to sell. She has invested $120 in materials. The function f(n) = 8n - 120 represents the profit she makes when she sells n bows. What is the value of f(50), the profit she will make if she sells 50 bows?

Accepted Answer

$520

Answer

$160

Answer

$280

Answer

$70

Question 28

If the domain of g(x) = (x + 1)(2x - 5) is {-4, -2, 0, 1}, what is the range?

Accepted Answer

{-6, -5, 9, 15}

Answer

{-6, -5, 9, 39}

Answer

{-6, -5, -3, 15}

Answer

{-16, -10, -4, -1}

Question 29

What is the 5th term of the arithmetic sequence described by the function f(n) = 7 - 4(n - 1)?

Accepted Answer

B) -1

Answer

A) 9

Answer

C) 15

Answer

D) -9

Question 30

What are the first 4 terms of the sequence defined by f(x) = 6x - 25?

Accepted Answer

-25, -19, -13, -7

Answer

-19, -25, -31, -37

Answer

-19, -13, -7, -1

Answer

6, -31, -56, -81

Question 31

A geometric sequence is defined by the function f(x) = $$10(2)^x$$ . What are the first three terms?

Accepted Answer

A) 20, 40, 80

Answer

B) 10, 1, 40

Answer

C) 20, 400, 8000

Answer

D) 10, 12, 14

Question 32

What is the 21st term of the sequence defined by the function f(n) = 2 + 9(n - 1)?

Accepted Answer

A) 190

Answer

B) 182

Answer

C) 51

Answer

D) 360

Question 33

Which sequence is described by the formula $$f(n) = 2(3)^{(n-1)}$$ ?

Accepted Answer

2, 6, 18, 54, ...

Answer

0, 2, 6, 18, ...

Answer

2, 5, 8, 11, ...

Answer

0, 3, 6, 12, ...

Question 34

What is the 9th term of sequence described by the formula $$f(n) = 384(1/2)^{(n-1)}$$ ? Record your answer and fill in the bubbles on the grid below.

Accepted Answer

3

Answer

0.75

Answer

1.5

Answer

6

Question 35

Which function describes the sequence 5, 10, 20, 40, 80, 160, ...?

Accepted Answer

f(n) = $$5(2)^n$$

Answer

f(n) = $$5(2)^{n-1}$$

Answer

$$f(n) = 2(5)^n$$

Answer

f(n) = $$5(2)^{n-1}$$

Question 36

The number of stars in the figures form a sequence. Which formula describes the sequence?

Accepted Answer

f(n) = 1 + 2(n - 1)

Answer

f(n) = 1 + 3(n - 1)

Answer

f(n) = 2n - 1

Answer

f(n) = 3n + 2

Question 37

Which equation describes the geometric sequence 2, 3, 4.5, 6.75, ...?

Accepted Answer

f(n) = $$2(1.5)^n$$

Answer

f(n) = $$1.5(2)^n$$

Answer

f(n) = $$2(1.5)^{n-1}$$

Answer

f(n) = $$1.5(2)^{n-1}$$

Question 38

Which function defines the sequence 600, 60, 6, 0.6, 0.06, ...?

Accepted Answer

$$f(n) = 600(0.1)^n$$

Answer

$$f(n) = 6000(0.1)^n$$

Answer

$$f(n) = 60000(0.1)^n$$

Answer

f(n) = $$60(0.1)^n$$

Question 39

When a truck delivered pipes to a construction site, the workers put 12 pipes in the bottom, then stacked 11 on the 2nd layer, then 10 in the 3rd, 9 in the 4th, etc. Which formula describes the number of pipes in the nth layer?

Accepted Answer

f(n) = 12 - (n - 1)

Answer

f(n) = 13 - (n - 1)

Answer

f(n) = 12 + 11(n - 1)

Answer

f(n) = 12 - n

Question 40

Which function can be used to determine the nth term of the sequence below? 8, 7.5, 7, 6.5, 6, ...

Accepted Answer

f(n) = 8 - 0.5n

Answer

f(n) = 8 + 0.5n

Answer

f(n) = 7.5 + 0.5n

Answer

f(n) = 8.5 - 0.5n

Question 41

The formula for the area of a rhombus is $$A = \frac{1}{2} d_1 d_2$$ , where $$d_1$$ and $$d_2$$ are the diagonals. Which equation could be used to solve for $$d_2$$ ?

Accepted Answer

d_2 = $$\frac{A}{2d_1}$$

Accepted Answer

d_2 = $$\frac{2A}{d_1}$$

Answer

d_2 = $$\frac{2d_1}{A}$$

Answer

d_2 = 2A - d_1

Question 42

Which equation expresses n in terms of d?

Accepted Answer

n = 2d - 3

Accepted Answer

n = 2d + 3

Answer

n = 3d - 2

Answer

n = 3d + 2

Question 43

Which formula can be used to convert degrees Fahrenheit to degrees Celsius?

Accepted Answer

C = $$\frac{5}{9}(F - 32)$$

Answer

C = $$\frac{5}{9}(F + 32)$$

Answer

$$\frac{9}{5}F - 32$$

Answer

C = $$\frac{5}{9}F + 32$$

Question 44

The formula to find distance when rate and time are known is d = rt. Which equation shows how to find rate when distance, d, and time, t, are known?

Accepted Answer

r = d/t

Answer

r = dt

Answer

r = d - t

Answer

r = t/d

CATEGORY 1 - Supporting Standard 10.A

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