Free Printable Algebra 2

1.

If $p\Phi q$ denotes $2a^b$ then $2\Phi3=$

a)

12

b)

16

c)

32

d)

64

2.

If $a\ \cdot\ b$ denotes $\frac{ab}{a\ +\ b}$ then $2\ \cdot\ 6\ =$

a)

$\frac{13}{4}$

b)

$\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$\frac{1}{3}$

3.

Expand and simplify

(n + 3) (n - 10)

a)

n² - 13n - 30

b)

n² - 7n + 30

c)

n² - 7n - 30

d)

n² + 13n - 30

4.

Expand and simplify

(w - 2) (w - 7)

a)

w² + 9w + 14

b)

w² - 9w - 14

c)

w² - 5w + 14

d)

w² - 9w + 14

5.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

6.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

7.

Factorise the following quadratic expression...

x² + 14x + 24

a)

(x + 12)(x + 2)

b)

(x + 8)(x + 3)

c)

(x + 4)(x + 6)

d)

(x + 24)(x + 1)

8.

Factorise the following quadratic expression...

x² + 12x + 32

a)

(x + 16)(x + 2)

b)

(x + 8)(x + 4)

c)

(x + 6)(x + 6)

d)

(x + 32)(x + 1)

9.

Solve the following quadratic equation...

x² + 3x + 2 = 0

a)

x = -1

x = -2

b)

x = 1

x = 2

c)

x = -1

x = 2

d)

x = 1

x = -2

10.

Solve the following quadratic equation...

x² + 7x + 12 = 0

a)

x = -2

x = -6

b)

x = -3

x = -4

c)

x = -1

x = -12

d)

x = 2

x = 6

11.

2n⁴ /6n⁴

a)

1/3n

b)

3

c)

3n

d)

1/3

12.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

13.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

14.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

15.

Make w the subject of the formula

$y=3w-a$

a)

$w=\frac{y}{3}+a$

b)

$w=y+\frac{a}{3}$

c)

$w=\frac{y+a}{3}$

d)

$w=\frac{y-a}{3}$

16.

Make w the subject of the formula

$s=\frac{w}{a}$

a)

$w=\frac{s}{a}$

b)

$w=sa$

c)

$w=\frac{a}{s}$

d)

$w=s+a$

17.

$v=u+10t$ Make u the subject of the formula

a)

$u=v-10t$

b)

$u=v+10t$

c)

$u=\frac{v}{10t}$

d)

$u=\frac{v}{-10t}$

18.

If $x\ \Omega\ y=\ 2x+y\ +\ 6,$ then $\left(-1\right)\ \Omega\ 2$ is

a)

6

b)

8

c)

9

d)

10

19.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

20.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

Algebra 2

Total questions: 20

Worksheet time: 5hrs 0mins

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