Free Printable Remediation

1.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

2.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

3.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

4.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

5.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

6.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

7.

Factor
9x²+9x-10

a)

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

b)

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

c)

(3x+5)(3x+2)

d)

Not Factorable

8.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

9.

Factor Completely:
2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

10.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

11.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

12.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

13.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

14.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

15.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

16.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

17.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

18.

Factor Completely.
8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3)(2x-3)

c)

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

d)

PRIME

19.

x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

20.

Factor
4x²-25x+25

a)

4(x-5)(x+5)

b)

(x+5)(4x+5)

c)

(x-5)(4x-5)

d)

(x+2)(9x+1)

21.

Factor:
5x² + 17x + 6

a)

(5x + 3)(x + 2)

b)

(5x + 2)(x + 3)

c)

(5x + 1)(x + 6)

d)

(5x + 6)(x + 1)

22.

Simplify.

a)

$\frac{1}{n-7}$

b)

$n-7$

c)

$\frac{(n-6)}{(n-7)}$

d)

$n-6$

23.

$Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}$

a)

$\frac{x}{x+3}$

b)

$\frac{x}{x-3}$

c)

$\frac{x+6}{x-3}$

d)

$\frac{x}{x+6}$

24.

Simplify

a)

$\frac{\left(x-9\right)}{\left(x+9\right)}$

b)

$\frac{1}{\left(x-9\right)}$

c)

$\left(x+9\right)$

d)

$\frac{1}{\left(x+9\right)}$

25.

Simplify

a)

$\frac{\left(x+7\right)}{\left(x-4\right)}$

b)

$-\frac{3}{4}$

c)

$\frac{\left(x+3\right)}{\left(x+4\right)}$

d)

$\frac{\left(x+3\right)}{\left(x-4\right)}$

26.

a)

A.

b)

B.

c)

C.

d)

D.

27.

Simplify

a)

$\frac{4x^3}{x+2}$

b)

$\frac{4x^3}{x+10}$

c)

$\frac{2x^3}{x+1}$

d)

$\frac{2x^3}{x+5}$

28.

Simplify

a)

$\frac{\left(n-2\right)}{\left(n+2\right)}$

b)

$\frac{\left(n+2\right)}{\left(n-2\right)}$

c)

$\frac{1}{\left(n+2\right)}$

d)

$\frac{1}{\left(n-2\right)}$

29.

Simplify.

a)

\frac{\left(m+6\right)}{\left(m-3\right)}

b)

$\frac{7}{\left(m-3\right)}$

c)

$7\left(m+6\right)$

d)

$\left(m-3\right)$

30.

Simplify.

a)

$\frac{\left(x+6\right)}{\left(x+4\right)}$

b)

$\left(x+6\right)\left(x+4\right)$

c)

$\left(x+6\right)$

d)

$\frac{\left(x+6\right)}{\left(x-5\right)}$

31.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

32.

Simplify (GCF on top)

a)

x - 3

b)

-21

c)

-3

d)

$\frac{x-3}{x}$

33.

Reduce, or simplify

the rational expression.

a)

3 x y³

b)

8 x³ y

c)

3 x³y

d)

8 x y³

34.

Simplify the fraction completely...

Simplifica la fracción completamente...

$\frac{x^2-4}{x^2-2x-8}$

35.

Simplify the fraction completely...

Simplifica la fracción completamente...

$\frac{8x^3}{x^2+4x}$

36.

Simplify the followings:

$\frac{5x\ +\ 10}{4x\ +\ 8}$

Input your answer (fraction form or whole number):

z, a/b

(a)

37.

Simplify

a)

b)

c)

d)

38.

simplify

a)

a

b)

b

c)

c

d)

d

39.

Simplify the expression completely:

a)

A

b)

B

c)

C

d)

D

40.

Simplify and state excluded values.

\frac{7m+42}{m^2+3m-18}

a)

$\frac{m+6}{m-3}$

b)

$\frac{7}{m-3}$

c)

$7\left(m+6\right)$

d)

(m-3) $m-3$

Remediation

Total questions: 40

Worksheet time: 3hrs 17mins

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