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Worksheets

Izrazi - banka nalog

Total questions: 170

Worksheet time: 12hrs 55mins

Name
Class
Date
1.

Simplifying

(−3x)2 y(x)3\left(-3x\right)^{2\ }y\left(x\right)^3  gives

a)

9x4y9x^4y  

b)

−9x4y-9x^4y  

c)

9x5y9x^5y  

d)

−9x6y-9x^6y  

2.

Simplification of

x3  − x(2x − 5) + 2x2 givesx^{3\ }\ -\ x\left(2x\ -\ 5\right)\ +\ 2x^2\ gives  

a)

x3  + 2x2 x^{3\ }\ +\ 2x^2\  

b)

x3  − 5xx^{3\ }\ -\ 5x  

c)

x3  − 4xx^{3\ }\ -\ 4x  

d)

x3  +5xx^{3\ }\ +5x  

3.

Tiana went to Game Stop to purchase a gaming system. They had a special promotion where for a limited time systems were half the price. She also had a coupon for $25 dollars off the sale price. If g represents the game system, which expression represents the sale price along with the coupon?

a)

g2 − 25\frac{g}{2}\ -\ 25

b)

g2+25\frac{g}{2}+25

c)

2g − 252g\ -\ 25

d)

g25−2\frac{g}{25}-2

4.

Luke's parents hired a clown for his birthday party. The clown charges $100 plus an additional $20 per hour. If h represents the hours, which expression represents how much Luke's parents spent on the clown?

a)

100 + 20h100\ +\ 20h

b)

100h + 20100h\ +\ 20

c)

100 +h20100\ +\frac{h}{20}

d)

100 + h100\ +\ h

5.

The debate team bought 18 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Choose the expression that shows how many people are on the debate team.

a)

18t\frac{18}{t}

b)

18t

c)

18 + t

d)

18 − t18\ -\ t

6.

True or False?

(a4 + a2)÷a = a + a\left(a^{4\ }+\ a^2\right)\div a\ =\ a\ +\ a  

a)

True

b)

False

7.

True or False?

(−a4)÷ (−a4)=1\left(-a^4\right)\div\ \left(-a^4\right)=1  

a)

True

b)

False

8.

Half of the difference of 4 times a number and 8

a)

12(4n−8)\frac{1}{2}\left(4n-8\right)

b)

12(4n)−8\frac{1}{2}\left(4n\right)-8

c)

2(4n−8)2\left(4n-8\right)

d)

2(4n)−82\left(4n\right)-8

9.

Translate Algebraic Expressions

Four-fifths of the sum of g and 7

a)

45 (g + 7)

b)

(g + 7)

c)

45(g + 7)\frac{4}{5}\left(g\ +\ 7\right)

10.

Translate Algebraic Expressions

Three-fifths of q is added to the product of seven and d

a)

35q + 7d\frac{3}{5}q\ +\ 7d

b)

35 + 7d3^5\ +\ 7d

c)

3q + 7d

11.

Translate Algebraic Expressions

Five less than the product of Four-fifths and c.

a)

45c − 5\frac{4}{5}c\ -\ 5

b)

45c + 5\frac{4}{5}c\ +\ 5

c)

5 −45c5\ -\frac{4}{5}c

d)

545c 5\frac{4}{5}c\

12.

Translate Algebraic Expressions

Seven is added to five-sixths of c

a)

7+56c7+\frac{5}{6}c

b)

7−56c7-\frac{5}{6}c

c)

56c−7\frac{5}{6}c-7

d)

756c7\frac{5}{6}c

13.

Translate Algebraic Expressions

Subtract one-third from nine times c

a)

9c−139c-\frac{1}{3}

b)

9c+139c+\frac{1}{3}

c)

9c9c

d)

99

14.

Translate Algebraic Expressions Sentence

16(6 + g)\frac{1}{6}\left(6\ +\ g\right)

a)

One-sixth of the sum of six and g

b)

One-sixth of the difference of 6 and g

c)

One-fifth of the sum of 6 and g

d)

One-sixth of the sum of seven and g

15.

Translate Algebraic Expressions Sentence

25g + 5h\frac{2}{5}g\ +\ 5h

a)

Two-fifths of g times tthe product of 5 and h

b)

Two-fifths of g is added to the product of five and h

c)

Two-fifths of g is divided to the product of five and h

d)

Two-fifths of g is subtracted to the product of five and h

16.

Simplify (3x)−2\left(3x\right)^{-2}  

a)

9x2\frac{9}{x^2}  

b)

19x2\frac{1}{9x^2}  

c)

x29\frac{x^2}{9}  

d)

3x2\frac{3}{x^2}  

17.

Simplify (−3x)−2\left(-3x\right)^{-2}  

a)

9x2\frac{9}{x^2}  

b)

19x2\frac{1}{9x^2}  

c)

x29\frac{x^2}{9}  

d)

3x2\frac{3}{x^2}  

18.

Simplify (−5n)−3\left(-5n\right)^{-3}  

a)

125n3125n^3  

b)

−1125n3-\frac{1}{125n^3}   

c)

n3125\frac{n^3}{125}  

d)

−n3125-\frac{n^3}{125}  

19.

What is the value of ∣−8h+4∣−j6\left|-8h+4\right|-\frac{j}{6} when h = 6 and j = -54

a)

35

b)

-35

c)

53

d)

-53

20.

What is the value of ∣−2p∣+q\left|-2p\right|+\sqrt[]{q} when p = -12 and q = 100

a)

26

b)

-14

c)

34

d)

74

21.

What is the value of j∣k+4∣\frac{j}{\left|k+4\right|} when j = -8 and k = -2

(a)  

22.

What is the value of ab−2c3−7 when a = −5, b=49, and c=8a\sqrt[]{b}-2\sqrt[3]{c}-7\ when\ a\ =\ -5,\ b=49,\ and\ c=8 ?

a)

32

b)

24

c)

-50

d)

-46

23.

What is the value of 5x+4\frac{5}{x+4} when x = 11?

If your answer is a fraction, write it in simplest form.

(a)  

24.

What is the value of ∣−r+r∣ when r=−8\left|-r+r\right|\ when\ r=-8 ?

(a)  

25.

What is the value of xy6+2y  when x=4 and y=9\frac{xy}{6}+2y\ \ when\ x=4\ and\ y=9 ?

a)

32\frac{3}{2}

b)

72

c)

24

d)

19

26.

What is the value of −3∣m+7∣ when m=−16-3\left|m+7\right|\ when\ m=-16 ?

a)

69

b)

-69

c)

27

d)

-27

27.

What is the value of ∣−4p∣ + q3 when p=6 and q=343\left|-4p\right|\ +\ \sqrt[3]{q}\ when\ p=6\ and\ q=343 ?

(a)  

28.

What is the value of ∣p−r∣  when p=−5 and r=−4\left|p-r\right|\ \ when\ p=-5\ and\ r=-4 ?

(a)  

29.

Write as a verbal expression:

10−n310-\frac{n}{3}

a)

10 less than the ratio of a number and 3

b)

the quotient of a number and 3 taken from 10

c)

the quotient of a number and 3 decreased by 10

d)

the product of a number and 3 taken from 10

30.

Write as a verbal expression:

12−n312-n^3

a)

a number cubed decreased by twelve

b)

twelve minus a number squared

c)

a number cubed taken from twelve

d)

twelve taken from a number cubed

31.

Factorise

x2+4x−12x^2+4x-12

a)

(x - 2)(x + 6)

b)

(x + 2)(x - 6)

c)

(x + 2)(x + 6)

d)

(x - 4)(x + 3)

32.

Rearrange this formula to make a the subject.

v=u − atv=u\ -\ at

a)

a=v+ua=v+u

b)

a=v−uta=\frac{v-u}{t}

c)

a=u−vta=\frac{u-v}{t}

d)

a=v+uta=\frac{v+u}{t}

33.

The volume of a rectangle with length, breadth and height as 5x, 3x2 and 7x45x,\ 3x^2\ and\ 7x^4  respectively is:

a)

105x7105x^7  

b)

105x2105x^2  

c)

105x4105x^4  

d)

105x105x  

34.

(4a+2b)2=\left(4a+2b\right)^2=

a)

16a2+8ab−4b216a^2+8ab-4b^2  

b)

16a2−8ab−4b216a^2-8ab-4b^2  

c)

16a2−8ab+4b216a^2-8ab+4b^2

d)

16a2+8ab+4b216a^2+8ab+4b^2

35.
The expression (l + m) (2m + p) − 2m (p + m) can be simplified as
a)
2lm + lp
b)
2lm + lp − 2mp 
c)
2lm + lp + mp 
d)
2lm + lp − mp 
36.

Factorise  3e2+5e.3e^2+5e.  

a)

e2(3+5)e^2\left(3+5\right)  

b)

e(3e + 5)e\left(3e\ +\ 5\right)  

c)

e(3 + 5e)e\left(3\ +\ 5e\right)  

37.

Evaluate 4c +(4d +3)2 for c=2 and d=1Evaluate\ 4c\ +\left(4d\ +3\right)^2\ for\ c=2\ and\ d=1  

a)

21

b)

57

c)

225

d)

125

38.

Evaluate

a2+4c3b+2a\frac{a^2+4c}{3b+2a}  

If a=-2, b=3 and c=4.2

a)

27/2

b)

10.45

c)

3.12

d)

4.16

39.

Translate: the square of the difference between a number and five

a)

(x−5)2(x-5)^2  

b)

x2−5x^2-5  

c)

x2+5x^2+5  

d)

(x+5)2(x+5)^2  

40.

Evaluate 3x2−2y+4z3x^2-2y+4z  when x=2, y=−1,  and  z=3x=2,\ y=-1,\ \ and\ \ z=3  .

a)

2222  

b)

1818  

c)

2020  

d)

2424  

41.

Find one factor of
x2−8x+15x^2-8x+15  

a)

x+5x+5  

b)

x−5x-5  

c)

x+3x+3  

d)

x+15x+15  

42.

Factor the following expression:


81x4 - 25y2

a)

( 9x2 - 5y ) ( 9x2 - 5y )

b)

( 81x2 - 5y ) ( x2 + 25y )

c)

( 9x2 - 5y ) ( 9x2 + 5y )

d)

( 81x2 - 5y ) ( x2 - 25y )

43.

Which one of the following is a factor of the expression?


6m2 - 5m - 25

a)

3m + 5

b)

3m - 5

c)

6m + 5

d)

6m - 5

44.

Find one factor of
x2−11x+24x^2-11x+24  



(a)  

45.

Find one factor of
u2−16u−36u^2-16u-36  



(a)  

46.

Find one factor of
w2−w−6w^2-w-6  

a)

w+6w+6  

b)

w−3w-3  

c)

w−2w-2  

d)

w−1w-1  

47.

What is the greatest common factor of:

20x4y3−5x3y220x^4y^3-5x^3y^2  




a)

x3y2x^3y^2  

b)

5x4y35x^4y^3  

c)

20x4y320x^4y^3  

d)

5x3y25x^3y^2  

48.

Find one factor of
g2−2g−63g^2-2g-63  

a)

g+9g+9  

b)

g−7g-7  

c)

g−9g-9  

d)

g−3g-3  

49.

What is the greatest common factor of:

12x4y3−6xy12x^4y^3-6xy  






(a)  

50.

Find one factor of
m2−mv−56v2m^2-mv-56v^2  

a)

m−7vm-7v  

b)

m−8vm-8v  

c)

m+4vm+4v  

d)

m+8vm+8v  

51.

Find one factor of
m2+mv−56v2m^2+mv-56v^2  



(a)  

52.


What are the factors of:
16x4y2−9x2y216x^4y^2-9x^2y^2

a)

(4x2y+3xy)(4x2y−3xy)\left(4x^2y+3xy\right)\left(4x^2y-3xy\right)  

b)

(4xy−3xy)(4xy−3xy)\left(4xy-3xy\right)\left(4xy-3xy\right)  

c)

(16x2y+9xy)(x2y−xy)\left(16x^2y+9xy\right)\left(x^2y-xy\right)  

d)

(4x2y+3xy)2\left(4x^2y+3xy\right)^2  

53.


What are the factors of:
16x4y2+24x3y2+9x2y216x^4y^2+24x^3y^2+9x^2y^2

a)

(4x2y+3xy)(4x2y−3xy)\left(4x^2y+3xy\right)\left(4x^2y-3xy\right)  

b)

(4xy−3xy)(4xy−3xy)\left(4xy-3xy\right)\left(4xy-3xy\right)  

c)

(16x2y+9xy)(x2y−xy)\left(16x^2y+9xy\right)\left(x^2y-xy\right)  

d)

(4x2y+3xy)2\left(4x^2y+3xy\right)^2  

54.

Find one factor of
x2−22x+121x^2-22x+121  



(a)  

55.

Find one factor of
x2−144x^2-144  



(a)  

56.

Find one factor of
9a2−64b29a^2-64b^2  



(a)  

57.

Find one factor of
4x2y2−9z24x^2y^2-9z^2  



(a)  

58.

Find one factor of
25x2+20xy+4y225x^2+20xy+4y^2



(a)  

59.

What are the factors of:
20x2−7x−620x^2-7x-6  

a)

(5x−2)(4x+3)\left(5x-2\right)\left(4x+3\right)  

b)

(5x+2)(4x−3)\left(5x+2\right)\left(4x-3\right)  

c)

(10x−3)(2x+2)\left(10x-3\right)\left(2x+2\right)  

d)

(10x−2)(2x+3)\left(10x-2\right)\left(2x+3\right)  

60.

What is the GCF of

16a3b − 8a2y ?16a^3b\ -\ 8a^2y\ ?  

a)

2ab2ab  

b)

4a4a  

c)

8a8a  

d)

8a28a^2  

61.

9k2−16 =9k^2-16\ =  

a)

(3k−4)(3k−4)\left(3k-4\right)\left(3k-4\right)  

b)

(3k−4)(3k+4)\left(3k-4\right)\left(3k+4\right)  

c)

(3k−2)(3k+8)\left(3k-2\right)\left(3k+8\right)  

d)

(3k−8)(3k+2)\left(3k-8\right)\left(3k+2\right)  

62.

Simplifying

(−3x)2 y(x)3\left(-3x\right)^{2\ }y\left(x\right)^3  gives

a)

9x4y9x^4y  

b)

−9x4y-9x^4y  

c)

9x5y9x^5y  

d)

−9x6y-9x^6y  

63.

Simplifying 5m(m - 3n)

a)

5m2  − 15n25m^{2\ }\ -\ 15n^2

b)

5m2  − 15mn5m^{2\ }\ -\ 15mn

c)

5m2  + 15mn5m^{2\ }\ +\ 15mn

d)

5m2  + 15n25m^{2\ }\ +\ 15n^2

64.

Simplification of

x3  − x(2x − 5) + 2x2 givesx^{3\ }\ -\ x\left(2x\ -\ 5\right)\ +\ 2x^2\ gives  

a)

x3  + 2x2 x^{3\ }\ +\ 2x^2\  

b)

x3  − 5xx^{3\ }\ -\ 5x  

c)

x3  − 4xx^{3\ }\ -\ 4x  

d)

x3  +5xx^{3\ }\ +5x  

65.

Factor completely

4a3b5 − 18a2b3 + 8a3b34a^3b^5\ -\ 18a^2b^3\ +\ 8a^3b^3  

a)

2a2b3 (2ab2 − 9ab + 4ab2)2a^2b^3\ \left(2ab^2\ -\ 9ab\ +\ 4ab^2\right)  

b)

2a2b3 (2ab2 − 9 + 4a)2a^2b^3\ \left(2ab^2\ -\ 9\ +\ 4a\right)  

c)

4a2b3 (ab2 − 14 + 6a)4a^2b^3\ \left(ab^2\ -\ 14\ +\ 6a\right)  

d)

2ab (2a2b3 − 9ab + 4ab)2ab\ \left(2a^2b^3\ -\ 9ab\ +\ 4ab\right)  

66.

x(a−b)+y(a−b)x\left(a-b\right)+y\left(a-b\right)
Write the expression in factored form.

a)

x+y(a−b)x+y\left(a-b\right)  

b)

x(a−b)+yx\left(a-b\right)+y

c)

(a−b)(x−y)\left(a-b\right)\left(x-y\right)  

d)

(a−b)(x+y)\left(a-b\right)\left(x+y\right)  

67.

Factor completely

4a3b5 − 18a2b3 + 8a3b34a^3b^5\ -\ 18a^2b^3\ +\ 8a^3b^3  

a)

2a2b3 (2ab2 − 9ab + 4ab2)2a^2b^3\ \left(2ab^2\ -\ 9ab\ +\ 4ab^2\right)  

b)

2a2b3 (2ab2 − 9 + 4a)2a^2b^3\ \left(2ab^2\ -\ 9\ +\ 4a\right)  

c)

4a2b3 (ab2 − 14 + 6a)4a^2b^3\ \left(ab^2\ -\ 14\ +\ 6a\right)  

d)

2ab (2a2b3 − 9ab + 4ab)2ab\ \left(2a^2b^3\ -\ 9ab\ +\ 4ab\right)  

68.

Find the factors

24m4n2 − 16m3n324m^4n^2\ -\ 16m^3n^3  

a)

4m3n2(6m − 4n)4m^3n^2\left(6m\ -\ 4n\right)  

b)

8mn (3m4n2 − 2m3n3)8mn\ \left(3m^4n^2\ -\ 2m^3n^3\right)  

c)

8m3n2 (3m − 2n)8m^3n^2\ \left(3m\ -\ 2n\right)  

d)

8m3n2 (3mn − 2mn)8m^3n^2\ \left(3mn\ -\ 2mn\right)  

69.

Match  121−x2121-x^2 with it's factored form. 

a)

(x−11)(x+11)\left(x-11\right)\left(x+11\right)  

b)

(x+10)(x−10)\left(x+10\right)\left(x-10\right)  

c)

(11−x)(11+x)\left(11-x\right)\left(11+x\right)  

d)

(11−x)(11−x)\left(11-x\right)\left(11-x\right)  

70.

Change the factored form expression into standard form.

(y+x)(y−x)\left(y+x\right)\left(y-x\right)  

a)

y2−2xy−x2y^2-2xy-x^2  

b)

x2−2xy+y2x^2-2xy+y^2  

c)

x2−y2x^2-y^2  

d)

y2−x2y^2-x^2  

71.

Write x2−144x^2-144  in factored form.


a)

(x+12)(x+12)\left(x+12\right)\left(x+12\right)  

b)

(x+12)(x−12)\left(x+12\right)\left(x-12\right)  

c)

(x−12)(x−12)\left(x-12\right)\left(x-12\right)  

72.

Change x2−25x^2-25  into factored form.


a)

(x+25)(x−25)\left(x+25\right)\left(x-25\right)  

b)

(x+5)(x+5)\left(x+5\right)\left(x+5\right)  

c)

Not possible.

d)

(x+5)(x−5)\left(x+5\right)\left(x-5\right)  

73.

Change a2−b2a^2-b^2  into factored form.


a)

(a+b)(a−b)\left(a+b\right)\left(a-b\right)  

b)

(a+b)(a+b)\left(a+b\right)\left(a+b\right)  

c)

(a−b)(a−b)\left(a-b\right)\left(a-b\right)  

d)

Not Possible.

74.

Factor:

x3−2x2−15xx^3-2x^2-15x  

a)

(x−5)(x+3)\left(x-5\right)\left(x+3\right)  

b)

x(x−5)(x+3)x\left(x-5\right)\left(x+3\right)  

c)

x(x+5)(x−3)x\left(x+5\right)\left(x-3\right)  

d)

(x2−5)(x+3)\left(x^2-5\right)\left(x+3\right)  

75.

Factor:

−4x4−5x3−3x2−3x3-4x^4-5x^3-3x^2-3x^3  

a)

x2(2x−3)(2x−1)x^2\left(2x-3\right)\left(2x-1\right)  

b)

−x2(2x−3)(2x−1)-x^2\left(2x-3\right)\left(2x-1\right)  

c)

−x2(4x2+5x+3+3x)-x^2\left(4x^2+5x+3+3x\right)  

d)

−x2(2x+3)(2x+1)-x^2\left(2x+3\right)\left(2x+1\right)  

76.

Factor:

12x4+27x2−36x312x^4+27x^2-36x^3  

a)

3x2(2x−3)(2x−3)3x^2\left(2x-3\right)\left(2x-3\right)  

b)

3x2(4x2+9−12x)3x^2\left(4x^2+9-12x\right)  

c)

(2x−3)(2x−3)\left(2x-3\right)\left(2x-3\right)  

d)

x2(6x−9)(2x−3)x^2\left(6x-9\right)\left(2x-3\right)  

77.

Factor:

12x5+52x4−40x312x^5+52x^4-40x^3  

a)

4x3(3x+2)(x−5)4x^3\left(3x+2\right)\left(x-5\right)  

b)

(3x−2)(x+5)\left(3x-2\right)\left(x+5\right)  

c)

4x3(3x2+13x−10)4x^3\left(3x^2+13x-10\right)  

d)

4x3(3x−2)(x+5)4x^3\left(3x-2\right)\left(x+5\right)  

78.

Factor:

2x4−450x22x^4-450x^2  

a)

2(x2+15x)(x2−15x)2\left(x^2+15x\right)\left(x^2-15x\right)  

b)

2x2(x+15)(x−15)2x^2\left(x+15\right)\left(x-15\right)  

c)

(x+15)(x−15)\left(x+15\right)\left(x-15\right)  

d)

2(x4−225x2)2\left(x^4-225x^2\right)  

79.

Factor:

−81x3+x-81x^3+x  

a)

Not factorableNot\ factorable  

b)

−1(81x3−x)-1\left(81x^3-x\right)  

c)

−x(9x+1)(9x−1)-x\left(9x+1\right)\left(9x-1\right)  

d)

(9x+1)(9x−1)\left(9x+1\right)\left(9x-1\right)  

80.

Factor:

80x6−5x480x^6-5x^4  

a)

5x4(4x+1)(4x−1)5x^4\left(4x+1\right)\left(4x-1\right)  

b)

5x4(16x2−1)5x^4\left(16x^2-1\right)  

c)

5(16x6−x4)5\left(16x^6-x^4\right)  

d)

not factorablenot\ factorable  

81.

Factor:

x4+x2−6x^4+x^2-6  

a)

x2(x2+1−6)x^2\left(x^2+1-6\right)  

b)

(x+3)(x−3)(x+2)(x−2)\left(x+3\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)  

c)

not factorablenot\ factorable  

d)

(x2+3)(x2−2)\left(x^2+3\right)\left(x^2-2\right)  

82.

Factor:

9x4−6x2+19x^4-6x^2+1  

a)

(3x+1)(3x−1)\left(3x+1\right)\left(3x-1\right)  

b)

(3x2+1)(3x+1)(3x−1)\left(3x^2+1\right)\left(3x+1\right)\left(3x-1\right)  

c)

(3x2−1)(3x2−1)\left(3x^2-1\right)\left(3x^2-1\right)  

d)

not factorablenot\ factorable  

83.

Factor:

x4−81x^4-81  

a)

(x2+9)(x+3)(x−3)\left(x^2+9\right)\left(x+3\right)\left(x-3\right)  

b)

(x2+9)(x2−9)\left(x^2+9\right)\left(x^2-9\right)  

c)

(x+3)(x−3)(x+3)(x−3)\left(x+3\right)\left(x-3\right)\left(x+3\right)\left(x-3\right)  

d)

not factorable

84.

Factor:

9x4−19x^4-1  

a)

x2(9x2 −1)x^2\left(9x^{2\ }-1\right)  

b)

(3x+1)(3x−1)\left(3x+1\right)\left(3x-1\right)  

c)

x2(3x+1)(3x−1)x^2\left(3x+1\right)\left(3x-1\right)  

d)

(3x2+1)(3x2−1)\left(3x^2+1\right)\left(3x^2-1\right)  

85.

Factor:

x4−144x^4-144  

a)

(x+12)(x−12)\left(x+12\right)\left(x-12\right)  

b)

(x2+12)(x2−12)\left(x^2+12\right)\left(x^2-12\right)  

c)

(x2+72)(x2−72)\left(x^2+72\right)\left(x^2-72\right)  

d)

(x+72)(x−72)\left(x+72\right)\left(x-72\right)  

86.

Factor:

x3+2x2−5x−10x^3+2x^2-5x-10  

a)

x2(x+2)−5(x+2)x^2\left(x+2\right)-5\left(x+2\right)  

b)

(x+2)(x−2)(x2+5)\left(x+2\right)\left(x-2\right)\left(x^2+5\right)  

c)

(x+2)(x2−5)\left(x+2\right)\left(x^2-5\right)  

d)

(x+2)(x−2)\left(x+2\right)\left(x-2\right)  

87.

Factor:

2x3+12x2−x−62x^3+12x^2-x-6  

a)

(x+6)(2x−1)\left(x+6\right)\left(2x-1\right)  

b)

2x2(x+6)+1(−x−6)2x^2\left(x+6\right)+1\left(-x-6\right)  

c)

not factorablenot\ factorable  

d)

(x+6)(2x2−1)\left(x+6\right)\left(2x^2-1\right)  

88.

Factor:

8x3−12x2+10x−158x^3-12x^2+10x-15  

a)

(2x−3)(4x2+5)\left(2x-3\right)\left(4x^2+5\right)  

b)

4x2(2x−3)+5(2x−3)4x^2\left(2x-3\right)+5\left(2x-3\right)  

c)

(4x2+5)(2x−3)(2x−3)\left(4x^2+5\right)\left(2x-3\right)\left(2x-3\right)  

d)

(2x−3)(2x+5)(2x−5)\left(2x-3\right)\left(2x+5\right)\left(2x-5\right)  

89.

Factor:

x3−729x^3-729  

a)

(x−9)(x+9)(x−9)\left(x-9\right)\left(x+9\right)\left(x-9\right)  

b)

(x−9)(x2+9x+81)\left(x-9\right)\left(x^2+9x+81\right)  

c)

(x+9)(x2−9x+81)\left(x+9\right)\left(x^2-9x+81\right)  

d)

not factorablenot\ factorable  

90.

Factor:

64x3−120−564x^3-120-5  

a)

not factorablenot\ factorable  

b)

(4x−5)(4x+5)(4x+5)\left(4x-5\right)\left(4x+5\right)\left(4x+5\right)  

c)

(4x+5)(4x−5)\left(4x+5\right)\left(4x-5\right)  

d)

(4x−5)(16x2+20x+25)\left(4x-5\right)\left(16x^2+20x+25\right)  

91.

Factor:

27x3+100027x^3+1000  

a)

(3x−10)(9x2+30x+100)\left(3x-10\right)\left(9x^2+30x+100\right)  

b)

(3x+10)(9x2−30x+100)\left(3x+10\right)\left(9x^2-30x+100\right)  

c)

(3x+10)(3x+10)(3x+10)\left(3x+10\right)\left(3x+10\right)\left(3x+10\right)  

d)

not factorablenot\ factorable  

92.

x2+7x+12x^2+7x+12  

a)

(x + 3)(x + 4)

b)

(x + 6)(x + 2)

c)

(x - 3)(x - 4)

d)

(x + 1)(x + 12)

93.

x2+6x−27x^2+6x-27  

a)

(x - 9)(x + 3)

b)

(x + 9)(x - 3)

c)

(x + 3)(x + 3)

d)

(x + 9)(x + 3)

94.

2x2−15x+72x^2-15x+7  

a)

(2x + 1)(x - 7)

b)

(2x + 7)(x - 1)

c)

(2x + 1)(x + 7)

d)

(2x - 1)(x - 7)

95.

5x2−13x−65x^2-13x-6  



a)

(5x + 2)(x - 3)

b)

(5x - 2)(x + 3)

c)

(5x + 1)(x - 6)

d)

(x + 3)(5x + 2)

96.

3x2+22x−163x^2+22x-16  



a)

(3x + 2)(x + 8)

b)

(3x - 2)(x + 8)

c)

(3x - 4)(x + 4)

d)

(3x - 2)(x - 8)

97.

x2− 7x −18x^2-\ 7x\ -18  



a)

(x + 9)(x + 2)

b)

(x - 9)(x - 2)

c)

(x - 9)(x + 2)

d)

(x + 9)(x - 2)

98.

6x2+11x+46x^2+11x+4  



a)

(6x + 1)(x + 4)

b)

(3x - 4)(2x - 1)

c)

(6x + 2)(x + 2)

d)

(3x + 4)(2x + 1)

99.

x2−20x+64x^2-20x+64  



a)

(x - 4)(x - 16)

b)

(x + 4)(x + 16)

c)

(x - 8)(x - 8)

d)

(x + 32)(x - 2)

100.

x2+12x−45x^2+12x-45  



a)

(x - 15)(x + 3)

b)

(x - 15)(x - 3)

c)

(x + 9)(x - 5)

d)

(x + 15)(x - 3)

101.

4x2−21x−184x^2-21x-18  



a)

(4x - 3)(x + 6)

b)

(2x + 9)(2x - 2)

c)

(4x + 3)(x - 6)

d)

(2x - 3)(2x + 6)

102.

9x2−6x−89x^2-6x-8  



a)

(3x - 4)(3x - 2)

b)

(3x + 2)(3x + 4)

c)

(3x + 8)(3x - 1)

d)

(3x + 2)(3x - 4)

103.

8x2−22x+58x^2-22x+5  



a)

(8x - 5)(x + 1)

b)

(4x - 1)(2x - 5)

c)

(4x + 5)(2x + 1)

d)

(8x - 1)(x - 1)

104.

(p−q)(p+q)+p(p−q)=\left(p-q\right)\left(p+q\right)+p\left(p-q\right)=  

a)

2p2−q2 − q2p^2-q^{2\ }-\ q  

b)

2p2−q2−pq2p^2-q^2-pq  

c)

2p2−q2+pq2p^2-q^2+pq  

d)

2p2+q2−pq2p^2+q^2-pq  

105.

(2y −3x)(x−4y)=\left(2y\ -3x\right)\left(x-4y\right)=  

a)

−3x2+14xy +8y2-3x^2+14xy\ +8y^2  

b)

−3x2−10xy+8y2-3x^2-10xy+8y^2  

c)

−3x2−10xy−8y2-3x^2-10xy-8y^2  

d)

−3x2+14xy−8y2-3x^2+14xy-8y^2  

106.

2(x−3y)2+xy =2\left(x-3y\right)^2+xy\ =  

a)

2x2+xy +9y22x^2+xy\ +9y^2  

b)

2x2+4xy +18y22x^2+4xy\ +18y^2  

c)

2x2−5xy+9y22x^2-5xy+9y^2  

d)

2x2−11xy+18y22x^2-11xy+18y^2  

107.

Factorise completely

3p3−12p3p^3-12p  

a)

3p(−3p2)3p\left(-3p^2\right)  

b)

3p(p2−12)3p\left(p^2-12\right)  

c)

3p(p−2)(p−2)3p\left(p-2\right)\left(p-2\right)  

d)

3p(p−2)(p+2)3p\left(p-2\right)\left(p+2\right)  

108.

Express

mn2−9mmn÷mn +3m5n\frac{mn^2-9m}{mn}\div\frac{mn\ +3m}{5n}  as a single fraction in its simplest form.

a)

5(n+3)m\frac{5\left(n+3\right)}{m}  

b)

5(n−3)m\frac{5\left(n-3\right)}{m}  

c)

m5(n−3)\frac{m}{5\left(n-3\right)}  

d)

m5(n+3)\frac{m}{5\left(n+3\right)}  

109.

Express

2nmp×pq + pmnm2 \frac{2nm}{p}\times\frac{pq\ +\ pm}{nm^2}\  as a single fraction in its simplest form.

a)

2(q+1)2\left(q+1\right)  

b)

2(q+p)2\left(q+p\right)  

c)

2q+pmm\frac{2q+pm}{m}  

d)

2q + 2mm\frac{2q\ +\ 2m}{m}  

110.

Express

2 + 3m6−4−m6\frac{2\ +\ 3m}{6}-\frac{4-m}{6}  as a single fraction in its simplest form.

a)

m−13\frac{m-1}{3}  

b)

2m−13\frac{2m-1}{3}  

c)

4m−13\frac{4m-1}{3}  

d)

2m−23\frac{2m-2}{3}  

111.

4−3(2−y)2=4-3\left(2-y\right)^2=  

a)

4+y24+y^2  

b)

−8+3y2-8+3y^2  

c)

4−4y+y24-4y+y^2  

d)

−8+12y−3y2-8+12y-3y^2  

112.

Express

34r−6r−18r\frac{3}{4r}-\frac{6r-1}{8r}  as a single fraction in its simplest form.

a)

1−3r4r\frac{1-3r}{4r}  

b)

2−3r4r\frac{2-3r}{4r}  

c)

5−6r8r\frac{5-6r}{8r}  

d)

7−6r8r\frac{7-6r}{8r}  

113.

(p−q)(p+q)−(p+q)2=\left(p-q\right)\left(p+q\right)-\left(p+q\right)^2=  

a)

−2pq−2q2-2pq-2q^2  

b)

2pq−2q22pq-2q^2  

c)

−2q2-2q^2  

d)

2pq2pq  

114.

Express

1h−r−2hh2−r2\frac{1}{h-r}-\frac{2h}{h^2-r^2}  as a single fraction in its simplest form.

a)

−h+rh2−r2\frac{-h+r}{h^2-r^2}  

b)

−h−rh2−r2\frac{-h-r}{h^2-r^2}  

c)

h2−r2−2hh2−r2\frac{h^2-r^2-2h}{h^2-r^2}  

d)

−h2−r2+2hrh2−r2\frac{-h^2-r^2+2hr}{h^2-r^2}  

115.

Express

pq −p3q1 − p2÷q2p+2\frac{pq\ -p^3q}{1\ -\ p^2}\div\frac{q}{2p+2}  in its simplest form.

a)

2p(p2+1)2p\left(p^2+1\right)  

b)

2p(p+1)2p\left(p+1\right)  

c)

12(p+1)\frac{1}{2\left(p+1\right)}  

d)

12p(p+1)\frac{1}{2p\left(p+1\right)}  

116.

Express

x3− x+25\frac{x}{3}-\ \frac{x+2}{5}  as a single fraction in its simplest form.

a)

2(x−1)15\frac{2\left(x-1\right)}{15}  

b)

2(x+1)15\frac{2\left(x+1\right)}{15}  

c)

2(x+3)15\frac{2\left(x+3\right)}{15}  

d)

2(x−3)15\frac{2\left(x-3\right)}{15}  

117.

Given

p = 5q − rp\ =\ 5q\ -\ r  , express  qq  in terms of  pp  and  rr  .

a)

q=p+r5q=\frac{p+r}{5}  

b)

q = p−r5q\ =\ \frac{p-r}{5}  

c)

q = p5+rq\ =\ \frac{p}{5}+r  

d)

q = p5−rq\ =\ \frac{p}{5}-r  

118.

Given 2−3p2 = 2(m+3p2)2-3p^2\ =\ 2\left(m+3p^2\right)  , express  pp  in terms of  m.m.  


a)

p = 2−2m9p\ =\ \frac{\sqrt{2-2m}}{9}  

b)

p = 2m−29p\ =\ \frac{\sqrt{2m-2}}{9}  

c)

p =2−2m3p\ =\frac{\sqrt{2-2m}}{3}  

d)

p=2m−23p=\frac{\sqrt{2m-2}}{3}  

119.

h = k34+6,h\ =\ \frac{k^3}{4}+6,  express  kk  in terms of  h.h.  

Given

a)

k=4h−243k=\frac{4h-24}{3}  

b)

k=4h−63k=\frac{4h-6}{3}  

c)

k=34h−24k=^3\sqrt{4h-24}  

d)

k=34h−6k=^3\sqrt{4h-6}  

120.

T=3+2(n−1),T=3+2\left(n-1\right),  express  nn  in terms of  T.T.  

Given

a)

n =T+12n\ =\frac{T+1}{2}  

b)

n=T+22n=\frac{T+2}{2}  

c)

n= T−12n=\ \frac{T-1}{2}  

d)

n=T−22n=\frac{T-2}{2}  

121.

Given v = πr2h.v\ =\ \pi r^2h.  Express  rr  in terms of  vv  and  hh  .


a)

r = vπhr\ =\ \frac{\sqrt{v}}{\pi h}  

b)

r =vπhr\ =\sqrt{\frac{v}{\pi h}}  

c)

r = (vπh)2r\ =\ \left(\frac{v}{\pi h}\right)^2  

d)

r=v2πhr=\frac{v^2}{\pi h}  

122.

Given that 3r2+p2=2(3+4p)\frac{3r^2+p}{2}=2\left(3+4p\right)  , express  pp  in terms of  rr  .

a)

p=r2+45p=\frac{r^2+4}{5}  

b)

p=r2−45p=\frac{r^2-4}{5}  

c)

p=3r2−1217p=\frac{3r^2-12}{17}  

d)

p=3r2+217p=\frac{3r^2+2}{17}  

123.

Simplify: (27p3q6)13÷p2q3\left(\frac{27p^3}{q^6}\right)^{\frac{1}{3}}\div p^2q^3  

a)

3pq5\frac{3}{pq^5}  

b)

3pq3\frac{3}{pq^3}  

c)

3p5q3\frac{3p^5}{q^3}  

d)

3p3q3\frac{3p^3}{q^3}  

124.

Simplify 4rs−2s\frac{4}{rs}-\frac{2}{s}  

a)

4−2rrs\frac{4-2r}{rs}  

b)

4r−2rs\frac{4r-2}{rs}  

c)

4−2srs\frac{4-2s}{rs}  

d)

4s−2rs\frac{4s-2}{rs}  

125.

What is the GCF of the terms 9x29x^2 and 6x6x ?

a)

3

b)

6

c)

3x

d)

6x

126.

What is the correct factored form of 21x2+7x21x^2+7x ?

a)

3x(7x+1)3x(7x+1)

b)

7x(3x+1)7x(3x+1)

c)

x(21x+7)x(21x+7)

d)

7(3x+1)7(3x+1)

127.

What is the GCF of 9m3n29m^3n^2 and 6m2n36m^2n^3 ?

a)

3m2n23m^2n^2

b)

6m2n6m^2n

c)

9mn9mn

d)

3mn23mn^2

128.

Which expression is equivalent to 14x2−21x14x^2-21x ?

a)

7x(2x−3)7x(2x-3)

b)

7x(x−2)7x(x-2)

c)

7(2x−3)7(2x-3)

d)

x(14x−21)x(14x-21)

129.

Which expression is equivalent to 3x2−2x−83x^2-2x-8 ?

a)

(3x−4)(x−2)(3x-4)(x-2)

b)

(3x+4)(x−2)(3x+4)(x-2)

c)

(3x−4)(x+2)(3x-4)(x+2)

d)

(3x−2)(x−2)(3x-2)(x-2)

130.

Simplify

4a3b×b6a\frac{4a^3}{b}\times\frac{b}{6a}

a)

3a2b22\frac{3a^2b^2}{2}

b)

3a22b\frac{3a^2}{2b}

c)

2a3\frac{2a^{ }}{3}

d)

2a23\frac{2a^2}{3}

131.

Write 3x4−x+12\frac{3x}{4}-\frac{x+1}{2} in its simplest form.

a)

2x+14\frac{2x+1}{4}

b)

2x−14\frac{2x-1}{4}

c)

x−24\frac{x-2}{4}

d)

x+24\frac{x+2}{4}

132.

Rearrange this formula to make a the subject.

v=u − atv=u\ -\ at

a)

a=v+ua=v+u

b)

a=v−uta=\frac{v-u}{t}

c)

a=u−vta=\frac{u-v}{t}

d)

a=v+uta=\frac{v+u}{t}

133.

Use the GCF to factor the expression. If the expression cannot be factored, choose "cannot be factored."

36x+2436x+24  

a)

cannot be factored

b)

12(3x+2)12\left(3x+2\right)  

c)

3(12x+8)3\left(12x+8\right)  

d)

4(9x+6)4\left(9x+6\right)  

134.

Factor: 7k2+9k7k^2+9k  

a)

k(7+9)k\left(7+9\right)  

b)

7k(k+9)7k\left(k+9\right)  

c)

k(7k+9)k\left(7k+9\right)  

d)

k2(7+9)k^{2\left(7+9\right)}  

135.

Factor p2−5p−14p^2-5p-14  

a)

(p+7)(p−2)\left(p+7\right)\left(p-2\right)  

b)

(p+2)(p−7)\left(p+2\right)\left(p-7\right)  

136.

Factor m2−9m+8m^2-9m+8  

a)

(m−1)(m−8)\left(m-1\right)\left(m-8\right)  

b)

(m+8)(m−1)\left(m+8\right)\left(m-1\right)  

137.

Factor 2b2+17b+212b^2+17b+21  

a)

(2b+7)(b−3)\left(2b+7\right)\left(b-3\right)  

b)

(b−7)(2b−3)\left(b-7\right)\left(2b-3\right)  

c)

(2b+3)(b+7)\left(2b+3\right)\left(b+7\right)  

d)

(2b−7)(b−3)\left(2b-7\right)\left(b-3\right)  

138.

Factor 28n4+16n3−80n228n^4+16n^3-80n^2  

a)

4n2(7n2+4n−20)4n^2\left(7n^2+4n-20\right)  

b)

(7n−10)(n+2)\left(7n-10\right)\left(n+2\right)  

c)

(28n3−40n2)(n+2)\left(28n^3-40n^2\right)\left(n+2\right)  

d)

4n2(7n−10)(n+2)4n^2\left(7n-10\right)\left(n+2\right)  

139.

Factor 5p2−p−185p^2-p-18  

a)

(5p−9)(p+2)\left(5p-9\right)\left(p+2\right)  

b)

(5p+9)(p−2)\left(5p+9\right)\left(p-2\right)  

c)

(p+9)(9p−5)\left(p+9\right)\left(9p-5\right)  

d)

(9p+5)(2p−1)\left(9p+5\right)\left(2p-1\right)  

140.

(4r+3)−(5r−r3)−(3r3−3r)\left(4r+3\right)-\left(5r-r^3\right)-\left(3r^3-3r\right)  

a)

−2r3+8r+6-2r^3+8r+6  

b)

−2r3+2r+6-2r^3+2r+6  

c)

−2r3+4r+6-2r^3+4r+6  

d)

−2r3+2r+3-2r^3+2r+3  

141.

(4m−4m3+m2)−(m3−5−2m)\left(4m-4m^3+m^2\right)-\left(m^3-5-2m\right)  

a)

−5m3−2m2+6m+9-5m^3-2m^2+6m+9  

b)

−5m3+m2+6m+9-5m^3+m^2+6m+9  

c)

−5m3−2m2+m+9-5m^3-2m^2+m+9  

d)

−5m3+m2+6m+5-5m^3+m^2+6m+5  

142.

Factor by grouping:
x3−5x2+5x−25x^3-5x^2+5x-25  

a)

(x2−5)(x−5)\left(x^2-5\right)\left(x-5\right)  

b)

(x2+5)(x−5)\left(x^2+5\right)\left(x-5\right)  

c)

(x2−5)(x+5)\left(x^2-5\right)\left(x+5\right)  

d)

(x2+5)(x+5)\left(x^2+5\right)\left(x+5\right)  

143.

Factor by grouping:
x3−4x2−4x+16x^3-4x^2-4x+16  

a)

(x+4)(x+2)\left(x+4\right)\left(x+2\right)  

b)

(x−4)(x2−4)\left(x-4\right)\left(x^2-4\right)  

c)

(x+4)(x2−4)\left(x+4\right)\left(x^2-4\right)  

d)

(x−4)(x−2)\left(x-4\right)\left(x-2\right)  

144.

Select the solution(s) for the quadratic:   x2−11x+19=−5x^2-11x+19=-5  

a)

3

b)

8

c)

-9

d)

-3

145.

Factor by grouping:
x3−4x2−4x+16x^3-4x^2-4x+16  

a)

(x+4)(x+2)\left(x+4\right)\left(x+2\right)  

b)

(x−4)(x2−4)\left(x-4\right)\left(x^2-4\right)  

c)

(x+4)(x2−4)\left(x+4\right)\left(x^2-4\right)  

d)

(x−4)(x−2)\left(x-4\right)\left(x-2\right)  

146.

What is the factored form of 5n3−10n2+3n−65n^3-10n^2+3n-6  ?

a)

(5n2+3)(n−2)\left(5n^2+3\right)\left(n-2\right)  

b)

(5n2−3)(n−2)\left(5n^2-3\right)\left(n-2\right)  

c)

(5n3+3)(n−2)\left(5n^3+3\right)\left(n-2\right)  

d)

10n(n2−6)10n\left(n^2-6\right)  

147.

Factor by grouping:

4p3+8p2+3p+64p^3+8p^2+3p+6  

a)

(2p2+3)(p+2)\left(2p^2+3\right)\left(p+2\right)  

b)

(2p2+6)(p+4)\left(2p^2+6\right)\left(p+4\right)  

c)

(4p2+3)(p+2)\left(4p^2+3\right)\left(p+2\right)  

d)

(4p2+8p)(3p+6)\left(4p^2+8p\right)\left(3p+6\right)  

148.

Factor by grouping:
20p3−25p2+4p−520p^3-25p^2+4p-5  

a)

(5p2−1)(4p−5)\left(5p^2-1\right)\left(4p-5\right)  

b)

(5p2+1)(4p+5)\left(5p^2+1\right)\left(4p+5\right)  

c)

(5p2+1)(4p−5)\left(5p^2+1\right)\left(4p-5\right)  

d)

(5p2−1)(4p+5)\left(5p^2-1\right)\left(4p+5\right)  

149.

Which algebraic expression is shown above?

a)

2y2+3x−3x22y^2+3x-3x^2

b)

−2y2−3x+3x2-2y^2-3x+3x^2

c)

3y2+3y−2x23y^2+3y-2x^2

d)

−2y2+3x−3x2-2y^2+3x-3x^2

150.

Which algebraic expression is shown above?

a)

2y−4+3x22y-4+3x^2

b)

−2y−4+3x2-2y-4+3x^2

c)

−2y+4−3x2-2y+4-3x^2

d)

2y+4−3x22y+4-3x^2

151.

(4a+2b)2=\left(4a+2b\right)^2=

a)

16a2+8ab−4b216a^2+8ab-4b^2  

b)

16a2−8ab−4b216a^2-8ab-4b^2  

c)

16a2−8ab+4b216a^2-8ab+4b^2

d)

16a2+8ab+4b216a^2+8ab+4b^2

152.

Factor:

25x2−3625x^2-36  

a)

(5x−6)(5x+6)\left(5x-6\right)\left(5x+6\right)  

b)

(5x−2)(5x+18)\left(5x-2\right)\left(5x+18\right)  

c)

(x−9)(25x+4)\left(x-9\right)\left(25x+4\right)  

d)

(x−6)(25x+6)\left(x-6\right)\left(25x+6\right)  

153.

Which of the following is a factor of:

12x2−25x−712x^2-25x-7  

a)

(3x−7)\left(3x-7\right)  

b)

(2x−1)\left(2x-1\right)  

c)

(12x−7)\left(12x-7\right)  

d)

(4x−1)\left(4x-1\right)  

154.

Factor:

x2+4x−17x^2+4x-17  

a)

(x−4)(x+17)\left(x-4\right)\left(x+17\right)  

b)

(x+1)(x−17)\left(x+1\right)\left(x-17\right)  

c)

(x−2)(x+15)\left(x-2\right)\left(x+15\right)  

d)

(x−3)(x+7)\left(x-3\right)\left(x+7\right)  

e)

Prime

155.

Factor:

4x2−94x^2-9  

a)

(2x+3)(2x−3)\left(2x+3\right)\left(2x-3\right)  

b)

(2x+3)(2x+3)\left(2x+3\right)\left(2x+3\right)  

c)

(2x−3)(2x−3)\left(2x-3\right)\left(2x-3\right)  

d)

(4x+9)(4x−9)\left(4x+9\right)\left(4x-9\right)  

156.

(p−q)(p+q)+p(p−q)\left(p-q\right)\left(p+q\right)+p\left(p-q\right)  

a)

2p2−q2−q2p^2-q^2-q  

b)

2p2−q2−pq2p^2-q^2-pq  

c)

2p2−q2+pq2p^2-q^2+pq  

d)

2p2+q2−pq2p^2+q^2-pq  

157.

SPM 2013
(2y−3x)(x−4y)=\left(2y-3x\right)\left(x-4y\right)=  

a)

−3x2+14xy+8y2-3x^2+14xy+8y^2  

b)

−3x2−10xy+8y2-3x^2-10xy+8y^2  

c)

−3x2−10xy−8y2-3x^2-10xy-8y^2  

d)

−3x2+14xy−8y2-3x^2+14xy-8y^2  

158.

SPM 2014

2(x−3y)2+xy=2\left(x-3y\right)^2+xy=  

a)

2x2+xy+9y22x^2+xy+9y^2  

b)

2x2+4xy+18y22x^2+4xy+18y^2  

c)

2x2−5xy+9y22x^2-5xy+9y^2  

d)

2x2−11xy+18y22x^2-11xy+18y^2  

159.

4−3(2−y)2=4-3\left(2-y\right)^2=  

a)

4+y24+y^2  

b)

−8+3y2-8+3y^2  

c)

4−4y+y24-4y+y^2  

d)

−8+12y−3y2-8+12y-3y^2  

160.

x4−81x^4-81  

a)

(x2−9)(x2+9)\left(x^2-9\right)\left(x^2+9\right)  

b)

(x2+9)(x−3)(x+3)\left(x^2+9\right)\left(x-3\right)\left(x+3\right)  

c)

(x4−9)(x4+9)\left(x^4-9\right)\left(x^4+9\right)  

d)

(x2−9)(x2−9)\left(x^2-9\right)\left(x^2-9\right)  

161.


Factor:
3x2−75y23x^2-75y^2  

a)

3(x−5y)(x+5y)3\left(x-5y\right)\left(x+5y\right)  

b)

3(x2−25y2)3\left(x^2-25y^2\right)  

c)

(x2−25y2)\left(x^2-25y^2\right)  

d)

3(x2−5y2)(x2−5y2)3\left(x^2-5y^2\right)\left(x^2-5y^2\right)  

162.

Expand  2x(y+z)+3x(2y+z)2x(y+z)+3x(2y+z)  . 

a)

x(8y+5)x(8y+5)  

b)

8yx+6z8yx+6z  

c)

5xz+8xy5xz+8xy  

d)

I don’t know 😓

163.

What is the value of the expressions when a = 3, b = -4 and c = 8?

17[16b+c(a−25)2]\frac{1}{7}\left[\frac{16}{b}+c\left(a-\sqrt{25}\right)^2\right]  



(a)  

164.

Solve for b, A=bh2A=\frac{bh}{2}

a)

b=2hAb=\frac{2h}{A}

b)

b=2Ahb=2Ah

c)

b=2Ahb=\frac{2A}{h}

d)

b=Ah2b=\frac{Ah}{2}

165.

Solve for T, B=T−LcB=T-Lc

a)

T=B+LcT=B+Lc

b)

T=BLcT=\frac{B}{Lc}

c)

T=B−LcT=B-Lc

d)

T=BLcT=BLc

166.

Solve for w, P=2L+2WP=2L+2W

a)

W=P+L2W=\frac{P+L}{2}

b)

W=P−2L2W=\frac{P-2L}{2}

c)

W=2P−2LW=2P-2L

d)

W=P+2LW=P+2L

167.

Translate the phrases into algebraic expressions.

The sum of m cube and n cube divided by eleven.

a)

m+ n311\frac{m^{ }+\ n^3}{11}

b)

(m+ n)311\frac{\left(m^{ }+\ n\right)^3}{11}

c)

m3 + n311\frac{m^{3\ }+\ n^3}{11}

d)

m3 + n11\frac{m^{3\ }+\ n^{ }}{11}

168.

Form verbal statements or phrases for the given algebraic equations.

12m3 − 1n\frac{1}{2}m^3\ -\ \frac{1}{n}

a)

Take away the ratio of one and n from half of the m cube

b)

The ratio of one and n times half of m cube

c)

The ratio of one and n deceased by half of m cube

169.

Translate: the square of the difference between a number and five

a)

(x−5)2(x-5)^2  

b)

x2−5x^2-5  

c)

x2+5x^2+5  

d)

(x+5)2(x+5)^2  

170.

Evaluate 3x2−2y+4z3x^2-2y+4z  when x=2, y=−1,  and  z=3x=2,\ y=-1,\ \ and\ \ z=3  .

a)

2222  

b)

1818  

c)

2020  

d)

2424  

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