Free Printable Grade 11-12 Elimination

1.

Solve x² – 49 = 0 by extracting the roots.

a)

5 and -5

b)

6 and -6

c)

7 and -7

d)

8 and -8

2.

What constant should be added to both sides of the equation x² + 4x – 21 = 0, so that it can be solved by completing the square?

a)

2

b)

4

c)

6

d)

9

3.

Simplify √28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

4.

Rationalize the denominator of the expression

$\frac{8x}{\sqrt{x-8}}$ and simplify.

a)

$\frac{8x}{x-8}$

b)

$\frac{64x^2}{x-8}$

c)

$\frac{8x\sqrt{x+8}}{x-8}$

d)

$\frac{8x\sqrt{x-8}}{x-8}$

5.

3. Which of the following is a quadratic equation written in standard form?

a)

3m + 8 = 15

b)

x² - 5x + 10 = 0

c)

x² + 19 = -3x

d)

(x – 4)² + 8 = 0

6.

5. What must be added to $t^2+20t+?$ to make it a perfect square trinomial?

a)

100

b)

400

c)

40

d)

20

7.

Which of the following represents the distance d between the two points $\left(x_1,\ y_1\right)$ and $\left(x_2,\ y_2\right)$ ?

a)

$d=\sqrt[]{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$

b)

$d=\sqrt[]{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}$

c)

$d=\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

d)

$d=\sqrt[]{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

8.

The 10th term of an arithmetic sequence is 22 with a common difference of -2. Find a₁.

a)

34

b)

36

c)

40

d)

42

9.

How many terms are in an arithmetic sequence whose first term is -3, common difference is 2, and last term is 23?

a)

12

b)

13

c)

14

d)

15

10.

Two fair coins are tossed. The probability of getting two heads is

a)

$1$

b)

$3$

c)

$\frac{1}{4}$

d)

$\frac{1}{6}$

11.

What is the distance between N(4,7) and M(11,7)?

a)

6 units

b)

7 units

c)

8 units

d)

9 units

12.

What is the radius of the circle given the equation, $x^2+y^2=9^2$ ?

a)

9

b)

18

c)

81

d)

90

13.

The product of a positive integer n and all the positive integers less than it is ___________.

a)

powers of n

b)

multiples of n

c)

n-factors

d)

n factorial

14.

What is the sum of ? $4\sqrt[]{7}-3\sqrt[]{7}+\sqrt[]{7}$

a)

$\sqrt[]{7}$

b)

$2\ \sqrt[]{7}$

c)

$7\ \sqrt[]{7}$

d)

$8\ \sqrt[]{7}$

15.

The perimeter of a parallelogram is 54. The ratio of the lengths of the sides is 2:7. What are the lengths of the sides?

a)

4 and 14

b)

6 and 21

c)

8 and 28

d)

24 and 30

Grade 11-12 Elimination

Total questions: 15

Worksheet time: 30mins

Similar Resources on Wayground