Quiz about Algebra 2 Assignment

Question 1

Find each product. $$(8n + 3)(2n^2 + 8n + 2)$$

Accepted Answer

$$12n^3 + 37n^2 + 52n + 32$$

Answer

$$28n^3 + 11n^2 + 4n - 21$$

Answer

$$24n^3 - 25n^2 - 58n + 24$$

Answer

$$16n^3 + 70n^2 + 40n + 6$$

Question 2

Find each product. $$(4x - 4)(3x^2 - 4x - 1)$$

Accepted Answer

$$12x^3 - 10x^2 + 40x + 7$$

Answer

$$40x^3 + 41x^2 + 45x + 14$$

Answer

$$12x^3 - 28x^2 + 12x + 4$$

Answer

$$12x^3 - 24x^2 - 51x - 18$$

Question 3

Simplify each expression. 5) -2a - 5a

Accepted Answer

-7a

Answer

-2a

Answer

-12a

Answer

-11a

Question 4

Simplify each expression. 6) 8r - 3r

Accepted Answer

5r

Answer

4r

Answer

13r

Answer

6r

Question 5

Simplify each sum. 7) $$(4r^2 + 8r^4 - r) + (8r^2 - 8r + 2r^4)$$

Accepted Answer

$$10r^4 + 18r^2 - 9r$$

Accepted Answer

$$10r^4 + 18r^2 - 2r$$

Answer

$$10r^4 + 14r^2 - 9r$$

Answer

$$10r^4 + 12r^2 - 9r$$

Question 6

Simplify each sum. 8) $$(2p^3 - 8p + 2) + (2p + 7 + 6p^3)$$

Accepted Answer

$$11p^3 - 6p + 9$$

Accepted Answer

$$11p^3 - 13p + 11$$

Accepted Answer

$$11p^3 - 13p + 9$$

Answer

$$8p^3 - 6p + 9$$

Question 7

Simplify each sum. 9) $$(7n^2 + 5n^4 + 3) + (6 - 8n^4 + 8n^2)$$

Accepted Answer

$$-3n^4 + 22n^2 + 9 - 7n$$

Accepted Answer

$$-3n^4 + 22n^2 + 9$$

Accepted Answer

$$-3n^4 + 15n^2 + 9$$

Answer

$$-3n^4 + 19n^2 + 9 - 7n$$

Question 8

Simplify each sum. 10) $$(6n^3 + 4n + 2n^2) + (3n^2 + 6n^3 - 6n)$$

Accepted Answer

$$12n^3 + 6n^2 - 2n$$

Answer

$$15n^3 + 6n^2 - 2n$$

Answer

$$12n^3 + 5n^2 - 2n$$

Answer

$$23n^3 + 6n^2 - 2n$$

Question 9

Simplify each difference. ( $$x^4 + 5 - x^2$$ ) - ( $$4x^3 + 3 - 8x^2$$ ).

Accepted Answer

$$x^4 - 4x^3 + 8x^2 + 2$$

Answer

$$x^4 - 12x^3 + 8x^2 + 2$$

Answer

$$x^4 - 10x^3 + 8x^2 + 2$$

Answer

$$x^4 - 4x^3 + 7x^2 + 2$$

Question 10

Simplify each difference. $$(3x^3 - 6x^4 + 8x^2) - (2x^3 - 4x^2 + 5x)$$ .

Accepted Answer

$$-6x^4 + x^3 + 12x^2 - 5x$$

Answer

$$-4x^4 + x^3 + 10x^2 - 2x$$

Answer

$$-4x^4 + x^3 + 10x^2 - 5x$$

Answer

$$-4x^4 + x^3 + 12x^2 - 5x$$

Question 11

Simplify each difference. (7 + $$6x^3 - x$$ ) - (5 - $$4x^3 + 8x^2$$ ).

Accepted Answer

$$10x^3 - 15x^2 - x + 2$$

Answer

$$10x^3 - 16x^2 - x + 2$$

Answer

$$7x^3 - 15x^2 - x + 2$$

Answer

$$10x^3 - 8x^2 - x + 2$$

Question 12

Simplify each difference. ( $$k^2 - 3k^4 + 7$$ ) - ( $$8k^2 + 7 + 5k^4$$ ).

Accepted Answer

$$-8k^4 - 7k^2$$

Answer

$$-8k^4 - 7k^2 + 7 + 4k$$

Answer

$$-8k^4 - 7k^2 + 7$$

Answer

$$-8k^4 - 7k^2 + 12 + 4k$$

Question 13

Find each product. 1) (4n - 3)(6n - 6)

Accepted Answer

$$24n^2 - 42n + 18$$

Answer

$$49n^2 - 7n - 12$$

Answer

$$6n^2 - 41n + 30$$

Answer

$$24n^2 + 18$$

Question 14

Find each product. $$(8n + 3)(2n^2 + 8n + 2)$$

Accepted Answer

$$12n^3 + 37n^2 + 52n + 32$$

Answer

$$28n^3 + 11n^2 + 4n - 21$$

Answer

$$24n^3 - 25n^2 - 58n + 24$$

Answer

$$16n^3 + 70n^2 + 40n + 6$$

Question 15

Find each product. $$(4x - 4)(3x^2 - 4x - 1)$$

Accepted Answer

$$12x^3 - 10x^2 + 40x + 7$$

Answer

$$40x^3 + 41x^2 + 45x + 14$$

Answer

$$12x^3 - 28x^2 + 12x + 4$$

Answer

$$12x^3 - 24x^2 - 51x - 18$$

Question 16

Simplify each expression. 5) -2a - 5a

Accepted Answer

-7a

Answer

-2a

Answer

-12a

Answer

-11a

Question 17

Simplify each expression. 6) 8r - 3r

Accepted Answer

5r

Answer

4r

Answer

13r

Answer

6r

Question 18

Simplify each sum. 7) $$(4r^2 + 8r^4 - r) + (8r^2 - 8r + 2r^4)$$

Accepted Answer

$$10r^4 + 18r^2 - 9r$$

Accepted Answer

$$10r^4 + 18r^2 - 2r$$

Answer

$$10r^4 + 14r^2 - 9r$$

Answer

$$10r^4 + 12r^2 - 9r$$

Question 19

Simplify each sum. 8) $$(2p^3 - 8p + 2) + (2p + 7 + 6p^3)$$

Accepted Answer

$$11p^3 - 6p + 9$$

Accepted Answer

C) $$11p^3 - 13p + 11$$

Answer

B) $$8p^3 - 6p + 9$$

Answer

D) $$11p^3 - 13p + 9$$

Question 20

Simplify each sum. 9) $$(7n^2 + 5n^4 + 3) + (6 - 8n^4 + 8n^2)$$

Accepted Answer

$$-3n^4 + 22n^2 + 9 - 7n$$

Accepted Answer

$$-3n^4 + 22n^2 + 9$$

Accepted Answer

$$-3n^4 + 15n^2 + 9$$

Answer

$$-3n^4 + 19n^2 + 9 - 7n$$

Question 21

Simplify each sum. 10) $$(6n^3 + 4n + 2n^2) + (3n^2 + 6n^3 - 6n)$$

Accepted Answer

$$12n^3 + 6n^2 - 2n$$

Answer

$$15n^3 + 6n^2 - 2n$$

Answer

$$12n^3 + 5n^2 - 2n$$

Answer

$$23n^3 + 6n^2 - 2n$$

Question 22

Simplify each difference. ( $$x^4 + 5 - x^2$$ ) - ( $$4x^3 + 3 - 8x^2$$ )

Accepted Answer

$$x^4 - 4x^3 + 7x^2 + 2$$

Answer

$$x^4 - 12x^3 + 8x^2 + 2$$

Answer

$$x^4 - 4x^3 + 8x^2 + 2$$

Answer

$$x^4 - 10x^3 + 8x^2 + 2$$

Question 23

Simplify each difference. $$(3x^3 - 6x^4 + 8x^2) - (2x^3 - 4x^2 + 5x)$$

Accepted Answer

$$-6x^4 + x^3 + 12x^2 - 5x$$

Answer

$$-4x^4 + x^3 + 10x^2 - 2x$$

Answer

$$-4x^4 + x^3 + 10x^2 - 5x$$

Answer

$$-4x^4 + x^3 + 12x^2 - 5x$$

Question 24

Simplify each difference. $$(7 + 6x^3 - x) - (5 - 4x^3 + 8x^2)$$

Accepted Answer

$$10x^3 - 8x^2 - x + 2$$

Answer

$$10x^3 - 16x^2 - x + 2$$

Answer

$$7x^3 - 15x^2 - x + 2$$

Answer

$$10x^3 - 15x^2 - x + 2$$

Question 25

Simplify each difference. ( $$k^2 - 3k^4 + 7$$ ) - ( $$8k^2 + 7 + 5k^4$$ )

Accepted Answer

$$-8k^4 - 7k^2$$

Answer

$$-8k^4 - 7k^2 + 7 + 4k$$

Answer

$$-8k^4 - 7k^2 + 7$$

Answer

$$-8k^4 - 7k^2 + 12 + 4k$$

Question 26

Find each product. $$(5n + 7)(n^2 - 2n - 3)$$

Accepted Answer

$$6n^3 + 26n^2 + 16n - 24$$

Answer

$$12n^3 - 28n^2 - 9n + 10$$

Answer

$$5n^3 - 3n^2 - 29n - 21$$

Answer

$$16n^3 + 16n^2 - 5n + 28$$

Question 27

Find each product. $$(4r - 4)(3r^2 - 8r - 6)$$

Accepted Answer

$$40r^3 + 51r^2 + 28r + 49$$

Answer

$$32r^3 - 28r^2 - 89r - 35$$

Answer

$$8r^3 + 69r^2 + 72r + 20$$

Answer

$$12r^3 - 44r^2 + 8r + 24$$

Question 28

Simplify each expression. 5) 5v + 3v

Accepted Answer

9v

Answer

2v + 11

Answer

v + 11

Answer

8v

Question 29

Simplify each expression. 6) r + 7 + 5 - 7r

Accepted Answer

-4r

Accepted Answer

-6r + 12

Answer

12

Answer

4r + 12

Question 30

Simplify each sum. 7) $$(6p^3 + 7p^2 + 4p) + (2p^2 + 4p^3 - p)$$

Accepted Answer

$$10p^3 + 14p^2 + 3p$$

Answer

$$17p^3 + 19p^2 + 3p$$

Answer

$$10p^3 + 19p^2 + 3p$$

Answer

$$10p^3 + 9p^2 + 3p$$

Question 31

Simplify each sum. 8) $$(8p^4 - 8p^2 - 4p) + (4p^2 + 7p^4 + 5p)$$

Accepted Answer

$$6p^4 - 4p^2 + p$$

Accepted Answer

$$15p^4 - 4p^2 + p$$

Accepted Answer

$$9p^4 + 3p^2 + p$$

Accepted Answer

$$9p^4 - 4p^2 + p$$

Question 32

Simplify each sum. 9) $$(2x^3 + 3x^2 - 3) + (4 + 2x^4 + 8x^3)$$

Accepted Answer

$$2x^4 + 10x^3 + 3x^2 - 3$$

Accepted Answer

$$-3x^4 + 10x^3 + 3x^2 - 3$$

Answer

$$2x^4 + 10x^3 + 3x^2 + 1$$

Answer

$$-3x^4 + 18x^3 + 3x^2 - 3$$

Question 33

Simplify each difference. 11) $$(x - 6x^4 + 8x^2) - (8x^3 + x^2 + 7x^4)$$

Accepted Answer

$$-7x^4 - 8x^3 + 7x^2 + x$$

Answer

$$-13x^4 - 8x^3 + 7x^2 + x$$

Answer

$$-5x^4 - 8x^3 + 7x^2 + x$$

Answer

$$-5x^4 - 8x^3 + 7x^2 - 4x$$

Question 34

Simplify each difference. 12) $$(5b + 3b^4 + 5) - (3b + 5 - b^4)$$

Accepted Answer

$$4b^4 + 8b - 6$$

Accepted Answer

$$4b^4 + 8b$$

Answer

$$4b^4 + 2b$$

Answer

$$-4b^4 + 8b - 6$$

Question 35

Simplify each difference. 13) $$(7a^3 + 4a^2 - 6a) - (6a - a^2 + 3a^3)$$

Accepted Answer

$$4a^3 + 5a^2 - 15a$$

Answer

$$4a^3 + 8a^2 - 15a$$

Answer

$$4a^3 + 3a^2 - 15a$$

Answer

$$4a^3 + 5a^2 - 12a$$

Question 36

Simplify each expression. 5) 5v + 3v

Accepted Answer

9v

Answer

2v + 11

Answer

v + 11

Answer

8v

Question 37

Simplify each difference. 11) $$(x - 6x^4 + 8x^2) - (8x^3 + x^2 + 7x^4)$$

Accepted Answer

$$-13x^4 - 8x^3 + 7x^2 + x$$

Answer

$$-7x^4 - 8x^3 + 7x^2 + x$$

Answer

$$-5x^4 - 8x^3 + 7x^2 + x$$

Answer

$$-5x^4 - 8x^3 + 7x^2 - 4x$$

Question 38

Simplify each difference. 12) $$(5b + 3b^4 + 5) - (3b + 5 - b^4)$$

Accepted Answer

$$4b^4 + 2b$$

Answer

$$4b^4 + 8b - 6$$

Answer

$$-4b^4 + 8b - 6$$

Answer

$$4b^4 + 8b$$

Question 39

Simplify each difference. 13) $$(7a^3 + 4a^2 - 6a) - (6a - a^2 + 3a^3)$$

Accepted Answer

D) $$4a^3 + 5a^2 - 12a$$

Answer

A) $$4a^3 + 8a^2 - 15a$$

Answer

B) $$4a^3 + 3a^2 - 15a$$

Answer

C) $$4a^3 + 5a^2 - 15a$$

Question 40

Simplify each difference. 14) $$(4b - 4b^2 + 6b^4) - (5b - 8b^4 - 3)$$

Accepted Answer

B) $$14b^4 - 4b^2 - b + 3$$

Answer

A) $$14b^4 - 10b^2 - b + 3$$

Answer

C) $$14b^4 - 8b^2 - b + 7$$

Answer

D) $$14b^4 - 8b^2 - b + 3$$

Question 41

Find each product. $$(5x + 5)(7x^2 - 5x + 6)$$

Accepted Answer

$$35x^3 + 10x^2 + 5x + 30$$

Answer

$$20x^3 + 11x^2 - 34x - 24$$

Answer

$$6x^3 - 20x^2 + 2x + 12$$

Answer

$$12x^3 - 46x^2 + 42x - 36$$

Question 42

Find each product. $$(6n - 2)(6n^2 + 8n - 1)$$

Accepted Answer

$$4n^3 - 26n^2 - 28n + 30$$

Answer

$$9n^3 - 3n^2 + 3n - 9$$

Answer

$$49n^3 + 49n^2 + 17n + 5$$

Answer

$$36n^3 + 36n^2 - 22n + 2$$

Question 43

Simplify each expression. 5) n + 10n

Accepted Answer

11n

Answer

-18n

Answer

-15n

Answer

-8n

Question 44

Simplify each expression. 6) 4a + 5a

Accepted Answer

9a

Answer

-9a + 6

Answer

-11a

Answer

a + 6

Question 45

Simplify each sum. 7) $$(6k^4 + 3k - 6k^2) + (7k^2 + 3k - 5k^4)$$

Accepted Answer

$$-6k^4 + k^2 + 12k$$

Accepted Answer

$$k^4 + k^2 + 12k$$

Accepted Answer

$$k^4 + k^2 + 6k$$

Accepted Answer

$$-6k^4 + k^2 + 18k$$

Question 46

Simplify each sum. 8) $$(2n^3 - 7n - 3n^2) + (n - 2n^3 + 7n^2)$$

Accepted Answer

$$4n^2 + n + 3n^3$$

Answer

$$4n^2 + n + 6n^3$$

Answer

$$4n^2 - 6n$$

Answer

$$4n^2 - 6n + 6n^3$$

Question 47

Simplify each sum. 9) $$(7x^4 - x^3 + 7x) + (5x^3 - 4 - 8x)$$

Accepted Answer

$$7x^4 + 4x^3 - x - 4$$

Accepted Answer

$$7x^4 + 4x^3 - x + 4$$

Answer

$$7x^4 + 4 - x$$

Answer

$$3x^4 + 4 - x$$

Question 48

Simplify each sum. 10) $$(7n^2 + 7 - 2n) + (3 + 5n - 3n^2)$$

Accepted Answer

$$-2n^2 + 3n + 10$$

Answer

$$4n^2 + 3n + 10$$

Answer

$$-5n^2 + 3n + 10$$

Answer

$$3n^2 + 3n + 10$$

Question 49

Simplify each difference. 11) $$(4p^3 - 4p - 8p^4) - (7p - p^3 + 8p^4)$$

Accepted Answer

$$-21p^4 + 5p^3 - 11p$$

Answer

$$-21p^4 + 9p^3 - 19p$$

Answer

$$-21p^4 + 5p^3 - 19p$$

Answer

$$-16p^4 + 5p^3 - 11p$$

Question 50

Simplify each difference. 12) $$(3 - 2x + 5x^3) - (1 + 2x^3 - x)$$

Accepted Answer

$$3x^3 + 6x + 2$$

Accepted Answer

$$3x^3 - x + 2$$

Answer

$$2x^3 + 2$$

Answer

$$3x^3 + 2$$

Question 51

Simplify each difference. 13) $$(8 - 3x - 5x^3) - (4x^4 + 4 - 3x)$$

Accepted Answer

$$-4x^4 - 2x^3 + 4$$

Answer

$$-4x^4 - 5x^3 + 4$$

Answer

$$-4x^4 - 2x^3 + 5$$

Answer

$$4x^4 - 2x^3 + 4$$

Question 52

Simplify each difference. 14) $$(6x + 4 - 8x^2) - (5 + 7x^2 + 3x)$$

Accepted Answer

$$-15x^2 + 3x - 1$$

Accepted Answer

$$-15x^2 + 3x - 1 - 2x^3$$

Answer

$$-21x^2 + 3x - 1 - 2x^3$$

Answer

$$-21x^2 + 3x - 1 + 5x^3$$

Question 53

Find each product. 1) (6n - 5)(8n - 7)

Accepted Answer

$$48n^2 - 2n - 35$$

Accepted Answer

$$48n^2 - 82n + 35$$

Accepted Answer

$$48n^2 + 2n - 35$$

Answer

$$48n^2 + 35$$

Question 54

Find each product. $$(5x + 5)(7x^2 - 5x + 6)$$

Accepted Answer

$$35x^3 + 10x^2 + 5x + 30$$

Answer

$$20x^3 + 11x^2 - 34x - 24$$

Answer

$$6x^3 - 20x^2 + 2x + 12$$

Answer

$$12x^3 - 46x^2 + 42x - 36$$

Question 55

Find each product. $$(6n - 2)(6n^2 + 8n - 1)$$

Accepted Answer

$$4n^3 - 26n^2 - 28n + 30$$

Answer

$$9n^3 - 3n^2 + 3n - 9$$

Answer

$$49n^3 + 49n^2 + 17n + 5$$

Answer

$$36n^3 + 36n^2 - 22n + 2$$

Question 56

Simplify each expression. 5) n + 10n

Accepted Answer

11n

Answer

-18n

Answer

-15n

Answer

-8n

Question 57

Simplify each expression. 6) 4a + 5a

Accepted Answer

9a

Answer

-9a + 6

Answer

-11a

Answer

a + 6

Question 58

Simplify each sum. 7) $$(6k^4 + 3k - 6k^2) + (7k^2 + 3k - 5k^4)$$

Accepted Answer

$$-6k^4 + k^2 + 12k$$

Accepted Answer

$$k^4 + k^2 + 12k$$

Accepted Answer

$$k^4 + k^2 + 6k$$

Accepted Answer

$$-6k^4 + k^2 + 18k$$

Question 59

Simplify each sum. 8) $$(2n^3 - 7n - 3n^2) + (n - 2n^3 + 7n^2)$$

Accepted Answer

$$4n^2 + n + 3n^3$$

Answer

$$4n^2 + n + 6n^3$$

Answer

$$4n^2 - 6n$$

Answer

$$4n^2 - 6n + 6n^3$$

Question 60

Simplify each sum. 9) $$(7x^4 - x^3 + 7x) + (5x^3 - 4 - 8x)$$

Accepted Answer

$$7x^4 + 4x^3 - x - 4$$

Accepted Answer

$$7x^4 + 4x^3 - x + 4$$

Answer

$$7x^4 + 4 - x$$

Answer

$$3x^4 + 4 - x$$

Question 61

Simplify each sum. 10) $$(7n^2 + 7 - 2n) + (3 + 5n - 3n^2)$$

Accepted Answer

$$-2n^2 + 3n + 10$$

Answer

$$4n^2 + 3n + 10$$

Answer

$$-5n^2 + 3n + 10$$

Answer

$$3n^2 + 3n + 10$$

Question 62

Simplify the expression: $$(4p^3 - 4p - 8p^4) - (7p - p^3 + 8p^4)$$ .

Accepted Answer

$$-16p^4 + 5p^3 - 11p$$

Answer

$$-21p^4 + 5p^3 - 11p$$

Answer

$$-21p^4 + 9p^3 - 19p$$

Answer

$$-21p^4 + 5p^3 - 19p$$

Question 63

Simplify the expression: $$(3 - 2x + 5x^3) - (1 + 2x^3 - x)$$ .

Accepted Answer

D) $$3x^3 - x + 2$$

Answer

$$3x^3 + 6x + 2$$

Answer

B) $$2x^3 + 2$$

Answer

C) $$3x^3 + 2$$

Question 64

Simplify the expression: $$(6x + 4 - 8x^2) - (5 + 7x^2 + 3x)$$ .

Accepted Answer

$$-15x^2 + 3x - 1$$

Answer

$$-21x^2 + 3x - 1 - 2x^3$$

Answer

$$-21x^2 + 3x - 1 + 5x^3$$

Answer

$$-15x^2 + 3x - 1 - 2x^3$$

Algebra 2 Assignment

102 questions

Find each product. 1) (4n - 3)(6n - 6)

Find each product. 2) (7m + 6)(5m + 3)

Simplify each expression. 5) -2a - 5a

Simplify each expression. 6) 8r - 3r

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