Free Printable All Alg 2: 1.4 Factoring/PST Quiz

1.

1) Factor 2x-8

a)

2(x + 4)

b)

x(2 - 8)

c)

4(2x - 1)

d)

2(x - 4)

2.

2) Factor 4x-32

a)

4(x + 8)

b)

8(x - 4)

c)

2(2x - 16)

d)

4(2x - 16)

e)

4(x - 8)

3.

3) Factor $5x^2+45x$

a)

5x(9 + x)

b)

5(x^2 + 9x)

c)

5x(x + 9)

d)

5(x + 9x)

e)

x(5x + 45)

4.

4) Factor $6x^3+3x^2$

a)

3x(2x^2 + 1)

b)

2x(3x^2 + 1)

c)

6x^2(1 + 0.5x)

d)

x^2(6x + 3)

e)

3x^2(2x + 1)

5.

5) Factor $4xy-x$

a)

x(4y + 1)

b)

2(2xy - x)

c)

4y(x - 1)

d)

x(2y + 2)

e)

x(4y - 1)

6.

6) Factor $14x^5-7x^3$

a)

7x^3(2x^2 + 2)

b)

x^3(14x^2 - 7)

c)

14x^5(1 - 0.5x^2)

d)

7x^3(2x^2 + 1)

e)

7x^3(2x^2 - 1)

7.

7) Factor $35x^4y^6+7x^2y^3-xy$

a)

xy(35x^3y^5 - 7xy^2 - 1)

b)

xy(35x^3y^5 + 7xy^2 - 1)

c)

xy(35x^3y^5 + 14xy^2 - 1)

d)

xy(35x^3y^5 + 7xy^2 + 1)

e)

xy(5x^3y^5 + 7xy^2 - 1)

8.

8) Factor $15x^{24}y^{12}+45x^6y^6-10x^2y^3$

a)

5x^2y^3(3x^{22}y^9 + 9x^4y^3 + 2)

b)

5x^2y^3(3x^{22}y^9 + 4x^4y^3 - 2)

c)

5x^2y^3(3x^{22}y^9 - 9x^4y^3 - 2)

d)

10x^2y^3(3x^{22}y^9 + 9x^4y^3 - 2)

e)

5x^2y^3(3x^{22}y^9 + 9x^4y^3 - 2)

9.

9) Factor $c\left(d+1\right)-5\left(d+1\right)$

a)

(d+1)(c-5)

b)

(d-1)(c-5)

c)

(d+1)(c+5)

d)

(d+1)(c-1)

e)

(d-1)(c+1)

10.

10) Factor $3v\left(w-12\right)+7z\left(w-12\right)$

a)

(w-12)(3v - 7z)

b)

(w+12)(3v + 7z)

c)

(w-12)(3v + 7z)

d)

(w-12)(3 + 7z)

e)

(w-12)(3v + 7)

11.

11) Factor $r\left(r-5\right)+7\left(r-5\right)$

a)

(r-5)(r-12)

b)

(r+5)(r-7)

c)

(r-5)(r-2)

d)

(r-5)(r+7)

e)

(r+7)(r+5)

12.

12) Factor $8q\left(2m+3\right)-5\left(2m+3\right)$

a)

(2m+3)(-8q-5)

b)

(2m+3)(8q+5)

c)

(2m+3)(8q-5)

d)

(2m+3)(5-8q)

e)

(2m-3)(8q-5)

13.

13) Factor $x^2+6x+9$

a)

(x + 2)(x + 4)

b)

(x + 1)(x + 5)

c)

(x + 3)(x + 3)^2

d)

(x + 6)(x + 3)

e)

(x + 3)^2

14.

19) Factor $-4x^2-24x-36$

a)

-4(x + 6)(x - 1)

b)

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

c)

-4(x + 2)^2

d)

-4(x + 3)^2

e)

-4(x - 3)^2

15.

14) Factor $x^2+10x+25$

a)

(x + 10)(x - 5)

b)

(x + 1)(x + 25)

c)

(x + 5)^2

d)

(x + 2)(x + 3)

e)

(x - 5)(x - 5)

16.

15) Factor $x^2-8x+16$

a)

(x - 4)(x + 4)

b)

(x - 1)(x - 15)

c)

(x - 4)^2

d)

(x + 4)(x - 4)

e)

(x - 2)(x - 8)

17.

16) Factor $x^2-14x+49$

a)

(x - 2)(x - 12)

b)

(x - 7)(x + 7)

c)

(x + 7)(x - 7)

d)

(x - 7)^2

e)

(x - 14)(x - 5)

18.

20) Factor $9x^2-24x+16$

a)

(3x - 4)^2

b)

(3x + 4)^2

c)

(9x^2 - 16)

d)

(9x - 8)(x - 2)

e)

(3x - 2)(3x - 8)

19.

17) Factor $x^2+12x+36$

a)

(x + 12)(x + 3)

b)

(x + 4)(x + 9)

c)

(x + 6)^2

d)

(x - 6)(x - 6)

e)

(x + 3)(x + 3)

20.

18) Factor $x^2-16x+64$

a)

(x - 8)^2

b)

(x - 6)(x - 6)

c)

(x - 10)(x + 2)

d)

(x + 8)(x - 8)

e)

(x - 4)(x - 4)

21.

21) Factor $25x^2+30x+9$

a)

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

b)

(5x + 1)(5x + 9)

c)

(5x - 3)(5x - 3)

d)

(5x + 3)^2

e)

(25x + 3)(x + 3)

22.

22) Factor $16x^2-88x+121$

a)

(16x - 121)

b)

(2x - 5)(8x - 25)

c)

(8x - 11)(2x - 11)

d)

(4x - 11)^2

e)

(4x + 11)(4x - 11)

23.

23) Factor $4a^2+4ar+r^2$

a)

(2a - r)^2

b)

(4a + r)(a + r)

c)

(4a^2 + 2ar + r^2)

d)

(2a + 2r)(2a - r)

e)

(2a + r)^2

24.

24) Factor $9n^2-6np+p^2$

a)

(3n + p)^2

b)

(9n^2 + 6np + p^2)

c)

(3n - 2p)(3n + 2p)

d)

(3n - p)^2

e)

(9n - p)(n + p)

25.

25) Factor $x^4+4x^2y+4y^2$

a)

(x^2 + 2y)^2

b)

(x^2 - 4y)^2

c)

(x^2 + 4y)^2

d)

(x^2 + 2y + 1)(x^2 + 2y - 1)

e)

(x^2 - 2y)^2

26.

26) Factor $4a^4+4a^2c+c^2$

a)

(2a^2 - c)^2

b)

(4a^2 + c)^2

c)

(2a^2 + 2c)(2a^2 - 2c)

d)

(2a^2 + c)^2

e)

(4a^4 + 2c + c^2)

27.

27) Factor $\left(2x+y\right)^2+2\left(2x+y\right)+1$

a)

(2x+y+1)^2

b)

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

c)

(2x+y+2)^2

d)

(2x+y)(2x+y+1)

e)

(2x+y-1)^2

28.

28) Factor $\left(-x+3\right)^2+2y\left(-x+3\right)+y^2$

a)

(-x + 3 - y)^2

b)

(-x + 3 + y)^2

c)

(-x + 3 + 2y)^2

d)

(-x + 3 - 2y)^2

e)

(-x + 3 + y^2)

29.

29) Factor $4x^2+4x\left(5y-3\right)+\left(5y-3\right)^2$

a)

(2x + 5y - 3)^2

b)

(4x^2 + 10y - 6)

c)

(2x + 3y - 5)(2x + 3y + 5)

d)

(4x + 5y - 3)(x + 1)

e)

(2x - 5y + 3)^2

30.

30) Factor $25x^2+10x\left(y^2+5\right)+\left(y^2+5\right)^2$

a)

(5x + y^2 + 5)^2

b)

(5x + y^2 - 5)^2

c)

(5x - y^2 + 5)^2

d)

(5x - 2y^2 - 5)^2

e)

(5x + 2y^2 + 5)^2

31.

[DEF] Which represents the difference between two squares?

a)

(a - b)^2 + 2ab

b)

a^2 - b^2 = (a + b)^2

c)

(a - b)(a + b)

d)

(a + b)(a - b)

32.

In a perfect square trinomial, the middle term

a)

is the sum of the first and last terms.

b)

is twice the product of the square roots of the first and last terms.

c)

is equal to the square of the first term.

d)

is half the product of the first and last terms.

e)

None of these

33.

[DEF] A perfect square trinomial is

a)

A quadratic equation of the form ax² + bx + c.

b)

A trinomial of the form a² ± 2ab + b².

c)

A polynomial of the form a³ + b³.

d)

A trinomial of the form a² + 2ab + b².

e)

A binomial of the form a² + b².

34.

[DEF] A prime polynomial is a

a)

A polynomial that has no real roots.

b)

A polynomial with only one term.

c)

A polynomial that is always positive.

d)

A polynomial that can be factored into linear polynomials.

e)

A polynomial that cannot be factored into simpler polynomials.

35.

[DEF] The fundamental theorem of arithmetic states that...

a)

every composite number can be written uniquely as the product of prime factors

b)

every prime number can be written uniquely as the product of prime factors

c)

every composite number can be written uniquely as the product of composite factors

d)

every prime number can be written uniquely as the product of composite factors

e)

every number can be written uniquely as the product of prime factors

36.

13) Factor $x^2+6x+11$

a)

(x + 2)(x + 4)

b)

Prime

c)

(x + 3)(x + 3)^2

d)

(x + 6)(x + 3)

e)

(x + 3)^2

37.

19) Factor $-4x^2-24x-37$

a)

-4(x + 6)(x - 1)

b)

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

c)

-4(x + 2)^2

d)

-4(x + 3)^2

e)

Prime

38.

14) Factor $x^2+10x+27$

a)

(x + 10)(x - 5)

b)

(x + 1)(x + 25)

c)

(x + 5)^2

d)

Prime

e)

(x - 5)(x - 5)

39.

14) Factor $x^2+10x+29$

a)

(x + 10)(x - 5)

b)

(x + 1)(x + 25)

c)

(x + 5)^2

d)

Prime

e)

(x - 5)(x - 5)

40.

15) Factor $x^2-8x+17$

a)

(x - 4)(x + 4)

b)

(x - 1)(x - 15)

c)

(x - 4)^2

d)

(x + 4)(x - 4)

e)

Prime

41.

16) Factor $x^2-14x+51$

a)

(x - 2)(x - 12)

b)

(x - 7)(x + 7)

c)

(x + 7)(x - 7)

d)

(x - 7)^2

e)

Prime

42.

20) Factor $9x^2-24x+13$

a)

(3x - 4)^2

b)

(3x + 4)^2

c)

(9x^2 - 16)

d)

Prime

e)

(3x - 2)(3x - 8)

43.

17) Factor $x^2+12x+31$

a)

(x + 12)(x + 3)

b)

(x + 4)(x + 9)

c)

(x + 6)^2

d)

Prime

e)

(x + 3)(x + 3)

44.

18) Factor $x^2-16x+63$

a)

(x - 8)^2

b)

(x - 6)(x - 6)

c)

(x - 10)(x + 2)

d)

Prime

e)

(x - 4)(x - 4)

45.

21) Factor $25x^2+30x+11$

a)

Prime

b)

(5x + 1)(5x + 9)

c)

(5x - 3)(5x - 3)

d)

(5x + 3)^2

e)

(25x + 3)(x + 3)

46.

22) Factor $16x^2-88x+123$

a)

Prime

b)

(2x - 5)(8x - 25)

c)

(8x - 11)(2x - 11)

d)

(4x - 11)^2

e)

(4x + 11)(4x - 11)

47.

What expression can you use to help you find the perimeter of this triangle?

a)

-6 + 8x

b)

6x + 2

c)

6x - 2

d)

6x + 8

48.

Which expression can you use to help you find the perimeter of this rectangle?

a)

6x

b)

16x

c)

12x

d)

8x

49.

Which expression can help you find the perimeter of this triangle?

a)

3x + x

b)

4x + 6

c)

5x + 6

d)

6x + 6

50.

Which expression can help you find the area of the rectangle?

a)

(n+2)^2

b)

2n+2n+(n+2)+(n+2)

c)

4n+4

d)

n^2(n+2)

e)

n(n+2)

51.

Which expression represents the perimeter of the rectangle?

a)

6x + 22

b)

6x + 11

c)

12x + 22

d)

12x + 11

All Alg 2: 1.4 Factoring/PST Quiz

Total questions: 51

Worksheet time: 13hrs 45mins

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