Quiz about 2nd Semester Final Exam Review - Algebra I

Question 1

Simplify
$$2x - 3x^5 - x$$

Accepted Answer

$$x-3x^5$$

Answer

$$-4x^5$$

Answer

$$12x^4$$

Answer

$$9x^7$$

Question 2

$$2p^3 · p$$

Accepted Answer

$$2p^4$$

Answer

$$9p^2$$

Answer

$$6p^6$$

Answer

$$16p^4$$

Question 3

Simplify

$$(b^3)^3$$

Accepted Answer

$$b^9$$

Answer

$$81b^{12}$$

Answer

$$b^4$$

Answer

$$16b^4$$

Question 4

Simplify

$$\frac{(x^3)^2}{(2x)^2}$$

Accepted Answer

$$x^4/4$$

Answer

$$\frac{1}{16}x^9$$

Answer

$$-x^4$$

Answer

$$8x^7$$

Question 5

Simplify

$$\frac{2n}{(2n^4)^2}$$

Accepted Answer

$$\frac{1}{2n^7}$$

Answer

$$\frac{4}{n^2}$$

Answer

$$16n^{12}$$

Answer

$$n^4/2$$

Question 6

Simplify

$$\frac{b^4}{(-b)^3}$$

Accepted Answer

-b

Answer

$$4b^6$$

Answer

1/16

Answer

$$b^4$$

Question 7

Simplify

$$\frac{x^{-4}}{x^{-1}}$$

Accepted Answer

$$\frac{1}{x^3}$$

Answer

$$\frac{1}{x^4}$$

Answer

1

Answer

$$\frac{16}{x^2}$$

Question 8

Simplify

$$\frac{2n^{-4}}{(n^{-3})^0}$$

Accepted Answer

$$\frac{2}{n^4}$$

Answer

$$\frac{1}{n^4}$$

Answer

$$16n^4$$

Answer

$$-8n^5$$

Question 9

Simplify

$$\frac{(2n^{-2})^2}{-2n^0}$$

Accepted Answer

$$-2/n^4$$

Answer

$$-n^{15}$$

Answer

$$\frac{1}{n^8}$$

Answer

$$n^{16}$$

Question 10

Name each polynomial by degree and number of terms. $$3n^5$$

Accepted Answer

degree 5 monomial

Answer

degree 5 trinomial

Answer

degree 1 polynomial with five terms

Answer

degree 1 trinomial

Question 11

Name each polynomial by degree and number of terms.

x

Accepted Answer

degree 1 monomial

Answer

degree 5 trinomial

Answer

degree 1 trinomial

Answer

degree 4 binomial

Question 12

$$2x^3 + 5x^2 + x + 9$$

Accepted Answer

degree 3 polynomial with four terms

Answer

degree 4 binomial

Answer

degree 2 monomial

Answer

degree 3 trinomial

Question 13

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

Accepted Answer

degree 5 trinomial

Answer

degree 2 monomial

Answer

degree 3 polynomial with five terms

Answer

degree 3 trinomial

Question 14

Simplify each expression.

$$(8p^3 - 2p^4) + (2p^4 - p^3)$$

Accepted Answer

$$7p^3$$

Answer

$$7p^3 - 4p^4$$

Answer

$$7p^3 - 8p^4$$

Answer

$$14p^3 - 4p^4$$

Question 15

$$(8n^2 - 6) + (n^2 + 8)$$

Accepted Answer

$$9n^2 + 2$$

Answer

$$9n^2 + 1$$

Answer

$$9n^2 - 4$$

Answer

$$9n^2 + 6$$

Question 16

$$(4r^3 - r^2) + (5r^2 - 5r^3)$$

Accepted Answer

$$-r^3 + 4r^2$$

Answer

$$-3r^3$$

Answer

$$-r^3$$

Answer

$$-3r^3 + 5r^2$$

Question 17

$$(3 + x^3) - (8 - 2x^3)$$

Accepted Answer

$$3x^3 - 5$$

Answer

$$4x^3 - 5$$

Answer

$$-4x^3 - 5$$

Answer

$$-4x^3 - 12$$

Question 18

$$(3m^4 - 4m^3) - (5m^3 - 3m^4)$$

Accepted Answer

$$6m^4 - 9m^3$$

Answer

$$-4m^4 - 9m^3$$

Answer

$$-9m^4 - 9m^3$$

Answer

$$-2m^4 - 9m^3$$

Question 19

Simplify each expression.
-9x(x + 5)

Accepted Answer

$$-9x^2 - 45x$$

Answer

$$-2x^2 - 18x$$

Answer

-7x - 35

Answer

$$-9x^2 - 46x$$

Question 20

10b(5b + 4)

Accepted Answer

$$50b^2+40b$$

Answer

4b + 16

Answer

5b + 16

Answer

-48 - 80b

Question 21

9(2 + 4n)

Accepted Answer

18 + 36n

Answer

18 + 41n

Answer

18 + 51n

Answer

18 + 45n

Question 22

-10(3n - 8)

Accepted Answer

-30n + 80

Answer

-35n + 80

Answer

10n + 24

Answer

9n + 24

Question 23

Find each product. (4m + 1)(2m - 3)

Accepted Answer

$$8m^2 - 10m - 3$$

Answer

$$6m^2 + m - 1$$

Answer

$$6m^2 - 1$$

Answer

$$10m^2 + m - 21$$

Question 24

Factor using the X-method. $$n^2 - 12n + 32$$

Accepted Answer

(n - 8)(n - 4)

Answer

(n - 1)(n + 4)

Answer

(n - 2)(n - 6)

Answer

(n - 9)(n + 10)

Question 25

Factor using the X-method. $$k^2 - 4k - 12$$

Accepted Answer

(k - 6)(k + 2)

Answer

(k + 10)(k - 7)

Answer

(k + 8)(k - 10)

Answer

(k - 6)(k - 2)

Question 26

Factor using the X-method. $$v^2-5v+4$$

Accepted Answer

(v - 4)(v - 1)

Answer

Not factorable

Answer

(v + 4)(v + 1)

Answer

(v - 4)(v + 1)

Question 27

Factor using the X-method. $$x^2 + 18x + 80$$

Accepted Answer

(x + 10)(x + 8)

Answer

(x - 5)(x + 1)

Answer

(x - 1)(x - 7)

Answer

(x - 10)(x + 8)

Question 28

Factor

$$p^2 + 6p - 16$$

Accepted Answer

(p - 2)(p + 8)

Answer

(p + 2)(p - 8)

Answer

(p - 7)(p + 5)

Answer

(p + 2)(p + 8)

Question 29

Factor using the Bubble Method.

$$5n^2 - 33n - 14$$

Accepted Answer

(5n + 2)(n - 7)

Answer

(5n - 2)(n - 7)

Answer

Not factorable

Answer

(5n - 4)(n - 8)

Question 30

Factor using the Bubble Method.

$$5k^2 + 44k - 60$$

Accepted Answer

(5k - 6)(k + 10)

Answer

5(k - 6)(k + 2)

Answer

(5k - 6)(k - 10)

Answer

(2k - 5)(k - 1)

Question 31

Factor

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

Accepted Answer

(3a - 4)(a - 2)

Answer

(5a - 6)(a + 2)

Answer

(3a + 10)(a - 9)

Answer

(3(a - 4)(a + 2)

Question 32

Factor using a difference of two squares.

$$4x^2 - 1$$

Accepted Answer

(2x + 1)(2x - 1)

Answer

(3x + 2)(3x - 2)

Answer

(5x + 1)(5x - 1)

Answer

(4x + 5)(4x - 5)

Question 33

Factor using a difference of two squares.

$$16x^2 - 1$$

Accepted Answer

(4x + 1)(4x - 1)

Answer

$$(4x - 1)^2$$

Answer

$$(16x + 1)^2$$

Answer

Not factorable

Question 34

Factor

$$n^2 - 16$$

Accepted Answer

(n + 4)(n - 4)

Answer

$$(n + 16)^2$$

Answer

$$(n + 8)^2$$

Answer

$$(n - 4)^2$$

Question 35

Solve each equation by factoring using the X - method. $$v^2 + 14v + 48 = 0$$

Accepted Answer

{-6, -8}

Answer

{-6, 8}

Answer

{6, 0}

Answer

{5, -2}

Question 36

Solve each equation by factoring using the X - method. $$n^2 - 12n + 32 = 0$$

Accepted Answer

{4, 8}

Answer

{7, 3}

Answer

{-5, -8}

Answer

{-5, 4}

Question 37

$$3x^{-3}\left(2x\right)^0$$

Accepted Answer

$$\frac{3}{x^3}$$

Answer

$$-2/n^4$$

Answer

$$-n^{15}$$

Answer

$$n^{16}$$

Question 38

Name each polynomial by degree and number of terms. $$3n^5$$

Accepted Answer

degree 5 monomial

Answer

degree 5 trinomial

Answer

degree 1 polynomial with five terms

Answer

degree 1 trinomial

Question 39

Name the polynomial by the degree and number of terms

$$2x^3 + 5x^2 + x + 9$$

Accepted Answer

degree 3 polynomial with four terms

Answer

degree 4 binomial

Answer

degree 2 monomial

Answer

degree 3 trinomial

Question 40

Name the polynomial by the degree and number of terms

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

Accepted Answer

degree 5 trinomial

Answer

degree 2 monomial

Answer

degree 3 polynomial with five terms

Answer

degree 3 trinomial

Question 41

Simplify each expression. $$(8p^3 - 2p^4) + (2p^4 - p^3)$$

Accepted Answer

$$7p^3$$

Answer

$$7p^3 - 4p^4$$

Answer

$$7p^3 - 8p^4$$

Answer

$$14p^3 - 4p^4$$

Question 42

$$(8n^2 - 6) + (n^2 + 8)$$

Accepted Answer

$$9n^2 + 2$$

Answer

$$9n^2 + 1$$

Answer

$$9n^2 - 4$$

Answer

$$9n^2 + 6$$

Question 43

$$(4r^3 - r^2) + (5r^2 - 5r^3)$$

Accepted Answer

$$-r^3 + 4r^2$$

Answer

$$-3r^3$$

Answer

$$-r^3$$

Answer

$$-3r^3 + 5r^2$$

Question 44

Simplify each expression.

$$(v^3 - 3v) - (v^2 + 7v)$$

Accepted Answer

$$v^3 - v^2 - 10v$$

Answer

$$v^3 - 10v$$

Answer

$$8v^3-10v$$

Answer

$$8v^3 - 18v$$

Question 45

$$(3 + x^3) - (8 - 2x^3)$$

Accepted Answer

$$3x^3 - 5$$

Answer

$$4x^3 - 5$$

Answer

$$-4x^3 - 5$$

Answer

$$-4x^3 - 12$$

Question 46

$$(3m^4 - 4m^3) - (5m^3 - 3m^4)$$

Accepted Answer

$$6m^4 - 9m^3$$

Answer

$$-4m^4 - 9m^3$$

Answer

$$-9m^4 - 9m^3$$

Answer

$$-2m^4 - 9m^3$$

Question 47

Simplify each expression. 35) -9x(x + 5)

Accepted Answer

$$-9x^2 - 45x$$

Answer

$$-2x^2 - 18x$$

Answer

-7x - 35

Answer

$$-9x^2 - 46x$$

Question 48

10b(5b + 4)

Accepted Answer

$$50b^2+40b$$

Answer

4b + 16

Answer

5b + 16

Answer

-48 - 80b

Question 49

9(2 + 4n)

Accepted Answer

18 + 36n

Answer

18 + 41n

Answer

18 + 51n

Answer

18 + 45n

Question 50

-10(3n - 8)

Accepted Answer

-30n + 80

Answer

-35n + 80

Answer

10n + 24

Answer

9n + 24

Question 51

Find each product.

(4m + 1)(2m - 3)

Accepted Answer

$$8m^2 - 10m - 3$$

Answer

$$6m^2 + m - 1$$

Answer

$$6m^2 - 1$$

Answer

$$10m^2 + m - 21$$

Question 52

Where do these two lines intersect?

Accepted Answer

(-2, 3)

Answer

No solution

Answer

(3, -2)

Answer

(2, 3)

Question 53

What is the solution?

Accepted Answer

No solution

Answer

(0, 2)

Answer

(0, -4)

Answer

(3, -3)

Question 54

What is the solution to the system?

Accepted Answer

(6, 8)

Answer

(8, 6)

Answer

(-6, 8)

Answer

No solution

Question 55

When you graph the exact same equation twice,

Accepted Answer

you will have infinite solutions.

Answer

you will have no solution.

Answer

you will have one solution.

Answer

you will graph a giraffe.

Question 56

If the inequality symbol is $$<$$ or $$>$$ , the line will be _________.

Accepted Answer

dotted

Answer

solid

Question 57

If the inequality symbol is $$\le$$ or $$\ge$$ , the line will be ___________.

Accepted Answer

solid

Answer

dotted

Question 58

Which inequality describes this graph...

Accepted Answer

y > 3x -2

Answer

y < 3x - 2

Answer

y > 3x + 2

Answer

y < 3x + 2

Question 59

Solve the system of inequalities by graphing.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 60

^{Which point is a solution to the system of inequalities?}

Accepted Answer

(4, 3)

Answer

(-8,2)

Answer

(-2,-5)

Answer

(0,6)

Question 61

Factor:

2n²-8n³

Accepted Answer

2n2(1-4n)

Answer

2n²(n-4n²)

Answer

2n³(10-8n²)

Answer

3n(1-4n)

Question 62

Factor
4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

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