Question 1

These are terms with the same variables and exponents.

Accepted Answer

Similar terms

Answer

Dissimilar terms

Answer

none of these

Answer

Different terms

Question 2

Which of the following are similar terms?

Accepted Answer

a.	-2ab and 4ab

Answer

none of these

Answer

2x and 2y

Answer

$8x^2$ and $6x^3$

Question 3

Find the sum of $4x^2$ and $14x^2$.

Accepted Answer

$18x^2$

Answer

$18x^4$

Answer

18x

Answer

none of these

Question 4

What is (-20xy) + (-40xy) ?

Accepted Answer

-60xy

Answer

60xy

Answer

-20xy

Answer

none of these

Question 5

What must be added to $13b^5$ to get the sum of $8b^5$ ?

Accepted Answer

$-5b^5$

Answer

$5b^5$

Answer

$-8b^5$

Answer

none of these

Question 6

Add: $(9x^2 + 4y^2)$ + $(3x^2 + 11y^2)$.

Accepted Answer

$12x^2 + 15y^2$

Answer

$6x^2 + 7y^2$

Answer

$12x^4 + 7y^4$

Answer

none of these

Question 7

What is the sum of $4n^2 - 3n + 6$ and $2n^2 + 5n + 1$ ?

Accepted Answer

$6n^2 + 2n + 7$

Answer

$6n^2 - 2n + 7$

Answer

$2n^2 + 2n + 7$

Answer

none of these

Question 8

Solve: $(5a^2 + 2a + 6)$ + $(a^2 - 6)$

Accepted Answer

$6a^2 + 2a$

Answer

$5a^2 + 2a$

Answer

none of these

Answer

$6a^2 + 2a - 12$

Question 9

If $20a^3$ is to be subtracted from $23a^3$, what will be the exponent of a?

Accepted Answer

3

Answer

0

Answer

6

Answer

none of these

Question 10

10.	What is 17y – 8y ?

Accepted Answer

9y

Answer

$9y^2$

Answer

-9y

Answer

none of these

Question 11

Subtract: $21a^6m^2$ - ($-4a^6m^2$)

Accepted Answer

$25a^6m^2$

Answer

$17a^6m^2$

Answer

none of these

Answer

$-25a^6m^2$

Question 12

Which of the following statement has a difference of 9x ?

Accepted Answer

6x – (-3x)

Answer

$2x^3$ – $11x^3$

Answer

none of these

Answer

$(-4x^2)$ – $5x$

Question 13

Find the difference of $-24c^2d^5$ and $-13c^2d^5$.

Accepted Answer

$-11c^2d^5$

Answer

$37c^2d^5$

Answer

$-37c^2d^5$

Answer

none of these

Question 14

What must be subtracted from $-8m^4$ to get a result of $10m^4$ ?

Accepted Answer

$-18m^4$

Answer

18m

Answer

$-2m^4$

Answer

none of these

Question 15

What is (5m + 14n) – (6m + 5n) ?

Accepted Answer

–m + 9n

Answer

none of these

Answer

m – 9n

Answer

-11m + 19n

Question 16

Subtract: (7h – 6k) – (2h + 9k).

Accepted Answer

5h – 15k

Answer

9h – 15k

Answer

none of these

Answer

5h – 3k

Question 17

Solve: $(8x^2 + 3x + 7)$ − $(2x^2 - 4x - 5)$.

Accepted Answer

$6x^2 + 7x + 12$

Answer

$6x^2 + 7x + 2$

Answer

none of these

Answer

$6x^2 - x + 2$

Question 18

What is the difference of$ 5y^2 - 2y$ and $4y^2 + 3$ ?

Accepted Answer

y2 – 2y – 3

Answer

$y^2 + 1$

Answer

$y^2 - 5y$

Answer

none of these

Question 19

In multiplying polynomials, the exponents of the similar variables are _________.

Accepted Answer

added

Answer

subtracted

Answer

none of these

Answer

multiplied

Question 20

What is the product of $ x^4$ and $x^{10}$ ?

Accepted Answer

$x^{10}$

Answer

none of these

Answer

$ x^6$

Answer

$ x^{40}$

Question 21

If $3d^2$ is multiplied to $-11d^3$ , the product is __________.

Accepted Answer

$-33d^5$

Answer

$-33d^6$

Answer

$-33d$

Answer

none of these

Question 22

Which of the following has a product of $24a^3$ ?

Accepted Answer

$(-8a)(-3a^2)$

Answer

$(4a^3)(6a)$

Answer

$(12a^2)(-2a)$

Answer

none of these

Question 23

Find the product of $-6m^5$ and $5mn^6$ .

Accepted Answer

$-30m^6n^6$

Answer

$-30m^5n^6$

Answer

$30m^6n^6$

Answer

none of these

Question 24

What must be multiplied to $-7x^4$ to get a product of $56x^5y$ ?

Accepted Answer

-8xy

Answer

8xy

Answer

$-8x^5y$

Answer

none of these

Question 25

Multiply: $(6w^2 + 2w - 5)$$(4w^2)$

Accepted Answer

$24w^4 + 8w^3 - 20w^2$

Answer

$24w^4 + 2w - 5$

Answer

none of these

Answer

$24w^2 + 8w - 20$

Question 26

What is the product of (a + 1) and (a + 7) ?

Accepted Answer

$a^2 + 8a + 7$

Answer

none of these

Answer

$a + 8$

Answer

$a^2 + 7$

Question 27

How many terms are there in the product of (x – 9) and (x + 3) ?

Accepted Answer

3

Answer

2

Answer

1

Answer

none of these

Question 28

What is the middle term of the product of the binomials (x - 9) and (x - 4) ?

Accepted Answer

-13x

Answer

-9x

Answer

none of these

Answer

-4x

Question 29

Find the last term of the product: $(5m + 4n)(m - 2n)$ = $5m^2 - 6mn$    ____ .

Accepted Answer

-8n

Answer

4n

Answer

-2n

Answer

none of these

Question 30

Multiply: $(2x^2 - 3x + 8)(x + 1)$.

Accepted Answer

$2x^3 - x^2 + 5x + 8$

Answer

none of these

Answer

$2x^2 - 5x + 8$

Answer

$2x^3 - 5x^2 + 5x + 8$

Question 31

Find the product of $(3p^3 + 12)(3p^3 - 12)$ .

Accepted Answer

$9p^6 - 144$

Answer

$3p^3 - 12$

Answer

none of these

Answer

$9p^3$

Question 32

In the division of polynomials, the exponents of the similar variables are _________.

Accepted Answer

subtracted

Answer

divided

Answer

none of these

Answer

added

Question 33

What is the resulting exponent of n, when $n^7$ is divided by $n^4$ ?

Accepted Answer

3

Answer

none of these

Answer

9

Answer

11

Question 34

Simplify: $\frac{18x^{10} y^3}{9x^2 y^3}$

Accepted Answer

$2x^8$

Answer

$2x^{12}y^6$

Answer

$2x^{20}y^9$

Answer

none of these

Question 35

What must be divided to $15a^4b^5$ to get a quotient of $-5ab$ ?

Accepted Answer

$-3a^3b^4$

Answer

$3a^4b^5$

Answer

$-3ab$

Answer

none of these

Question 36

Simplify: $\frac{28a^6c^2}{4b^5c^5}$

Accepted Answer

$\frac{7a^6}{b^5c^3}$

Answer

$\frac{7a}{c^3}$

Answer

none of these

Answer

$\frac{7a^6c^3}{b^5}$

Question 37

Divide: $\frac{12h^9 + 6h^4 - 6h^3}{6h^3}$

Accepted Answer

$2h^6 + h - 1$

Answer

none of these

Answer

$2h^6 + h$

Answer

$2h^3 + h - 1$

Question 38

Find the quotient of$ (x^2 + 7x + 12)$ and $(x + 4)$ .

Accepted Answer

x + 3

Answer

x – 3

Answer

none of these

Answer

x + 4

Question 39

If $(4y^2 - 8y - 12)$ is divided by $(y - 3)$, the resulting quotient is a ___________.

Accepted Answer

binomial

Answer

trinomial

Answer

none of these

Answer

monomial

Question 40

Divide: $(4y^2 - 8y - 12)$ $\div$ $(y - 3)$

Accepted Answer

4y + 4

Answer

none of these

Answer

4y – 3

Answer

y + 4

Question 41

A solution of an equation is any value of the variable that will make the equation __________.

Accepted Answer

true

Answer

equal

Answer

false

Answer

none of these

Question 42

Which of the following is an equation?

Accepted Answer

y = 9

Answer

$x^2 + 10$

Answer

none of these

Answer

3(2x – 5z)

Question 43

What is the additive inverse of 22 ?

Accepted Answer

-22

Answer

none of these

Answer

-2

Answer

22

Question 44

Find x in the equation  x – 8 = 6 .

Accepted Answer

x = 14

Answer

x = -14

Answer

none of these

Answer

x = -2

Question 45

What should be added to both sides of the equation  x + 17 = 10 , to solve for x ?

Accepted Answer

-17

Answer

none of these

Answer

17

Answer

-7

Question 46

Solve for a in  5a = 45 .

Accepted Answer

a = 9

Answer

a = 40

Answer

none of these

Answer

a = -9

Question 47

What must be divided to both sides of the equation  -7x = 21 , to solve for x ?

Accepted Answer

-7

Answer

21

Answer

7

Answer

none of these

Question 48

Find the solution of the equation  4y – 2 = – 26  .

Accepted Answer

y = -6

Answer

none of these

Answer

y = -4

Answer

y = 6

Question 49

What is the value of m in the equation  m – 7 = 2m – 19 ?

Accepted Answer

m = 12

Answer

m = -12

Answer

m = 13

Answer

none of these

Question 50

What is the solution of the equation  2(x – 4) = 3x – 9  ?

Accepted Answer

x = 1

Answer

none of these

Answer

x = 0

Answer

x = -1

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