Sasi Math (Revised for 1024)

Scroll:Algebra new >> Factorization method >> ps (4125)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Solve using the quadratic formula.

7D2 - 8D - 1 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

D D

Answer:_______________

Solve using the quadratic formula.

4R2 - 6R - 8 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

R R

Answer:_______________

Solve using the quadratic formula.

8B2 + B - 2 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

B B

Answer:_______________

Solve using the quadratic formula.

3X2 + 6X + 3 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

Answer:_______________

Solve using the quadratic formula.

6P2 + 2P – 7 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

P P

Answer:_______________

Solve using the quadratic formula. Answer write like $\frac{(3}{5)}$ (use /)

5M2 - 9M +4 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

M M

Answer:_______________

Solve using the quadratic formula. Answer write like (+ or -)

3E2 - 8E -1 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

E E

Answer:_______________

Solve using the quadratic formula.

3N2 + 4N – 5 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

N N

Answer:_______________

Solve using the quadratic formula.

8Q2 + 8Q + 2 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. or use $\frac{(}{)}$ like $\frac{3}{4.}$

Q Q

Answer:_______________

10)

Solve using the quadratic formula.

5H2 + 7H - 9 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

H H

Answer:_______________

Solve using the quadratic formula.

7K2 - 8K - 1 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

K Answer: 1.26 K Answer: -0.11

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aK2 + bK + c = 0).

Use the quadratic formula to solve 7K2 – 8K – 1 = 0.

-b ±√ b2 – 4ac

-(-8) ±√ (-8)2 – 4(7)(-1)

2(7)

Plug in a = 7, b = -8, and c = -1

8 ±√ 64 + 28

Multiply

8 ±√ 92

Add

8 +√ 92

8 – √ 92

Split ± into + or -

≈

1.26 or K≈ -0.11

Simplify and round to the nearest hundredth

Solve using the quadratic formula.

4P2 - 6P - 8 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

P Answer: 2.35 P Answer: -0.85

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aP2 + bP + c = 0).

Use the quadratic formula to solve 4P2 – 6P – 8 = 0.

-b ± b2 – 4ac

-(-6) ±√ (-6)2 – 4(4)(-8)

2(4)

Plug in a = 4, b = -6, and c = -8

6 ±√ 36 + 128

Multiply

6 ±√ 164

Add

6 +√ 164

6 – √ 164

Split ± into + or -

≈

2.35 or P ≈ -0.85

Simplify and round to the nearest hundredth

Solve using the quadratic formula.

8V2 + V - 2 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

V Answer: 0.44 V Answer: -0.57

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aV2 + bV + c = 0).

Use the quadratic formula to solve 8V2 + V – 2 = 0.

-b ±√ b2 – 4ac

-1 ±√ 12 – 4(8)(-2)

2(8)

Plug in a = 8, b = 1, and c = -2

-1 ±√ 1 + 64

Multiply

-1 ±√ 65

Add

-1 +√ 65

-1 –√ 65

Split ± into + or -

≈

0.44 or V ≈ -0.57

Simplify and round to the nearest hundredth

Solve using the quadratic formula.

3D2 + 6D + 3 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

D Answer: -1

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aD2 + bD + c = 0).

Use the quadratic formula to solve 3D2 + 6D + 3 = 0.

-b ±√ b2 – 4ac

-6 ±√ 62 – 4(3)(3)

2(3)

Plug in a = 3, b = 6, and c = 3

-6 ±√ 36 – 36

Multiply

-6 ± 0

Subtract

-6 +√ 0

-6 – √ 0

Split ± into + or -

-6 + 0

-6 – 0

Take the square root

-1 or D = -1

Simplify

Solve using the quadratic formula.

6M2 + 2M – 7 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

M Answer: 0.93 M Answer: -1.26

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aM2 + bM + c = 0).

Use the quadratic formula to solve 6M2 + 2M – 7 = 0.

-b ±√ b2 – 4ac

-2 ±√ 22 – 4(6)(-7)

2(6)

Plug in a = 6, b = 2, and c = -7

-2 ±√ 4 + 168

Multiply

-2 ±√ 172

Add

-2 +√ 172

-2 – √ 172

Split ± into + or -

≈

0.93 or M ≈ -1.26

Simplify and round to the nearest hundredth

Solve using the quadratic formula. Answer write like $\frac{(3}{5)}$ (use /)

5N2 - 9N +4 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

N Answer: 1 N Answer: $\frac{4}{5}$

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aN2 + bN + c = 0).

Use the quadratic formula to solve 5N2 – 9N + 4 = 0.

-b ±√ b2 – 4ac

-(-9) ±√ (-9)2 – 4(5)(4)

2(5)

Plug in a = 5, b = -9, and c = 4

9 ±√ 81 – 80

Multiply

9 ±√ 1

Subtract

9 +√ 1

9 – √ 1

Split ± into + or -

9 + 1

9 – 1

Take the square root

Simplify

Solve using the quadratic formula. Answer write like (+ or -)

3D2 - 8D -1 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

D Answer: 2.79 D Answer: -0.12

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aD2 + bD + c = 0).

Use the quadratic formula to solve 3D2 – 8D - 1 = 0.

-b ±√ b2 – 4ac

-(-8) ± √ (-8)2 – 4(3)(-1)

2(3)

Plug in a = 3, b = -8, and c = -1

8 ±√ 64 + 12

Multiply

8 ±√ 76

Add

8 +√ 76

√

8 – √ 76

Split ± into + or -

≈

2.79 or D≈ -0.12

Simplify and round to the nearest hundredth

Solve using the quadratic formula.

3K2 + 4K – 5 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

K Answer: 0.79 K Answer: -2.12

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aK2 + bK + c = 0).

Use the quadratic formula to solve 3K2 + 4K – 5 = 0.

-b ±√ b2 – 4ac

-4 ±√ 42 – 4(3)(-5)

2(3)

Plug in a = 3, b = 4, and c = -5

-4 ±√ 16 + 60

Multiply

-4 ±√ 76

Add

-4 +√ 76

-4 – √ 76

Split ± into + or -

≈

0.79 or v ≈ -2.12

Simplify and round to the nearest hundredth

Solve using the quadratic formula.

8C2 + 8C + 2 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. or use $\frac{(}{)}$ like $\frac{3}{4.}$

C Answer: $\frac{-1}{2}$ C Answer: $\frac{-1}{2}$

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aC2 + bC + c = 0).

Use the quadratic formula to solve 8C2 + 8C + 2 = 0.

-b ±√ b2 – 4ac

-8 ±√ 82 – 4(8)(2)

2(8)

Plug in a = 8, b = 8, and c = 2

-8 ±√ 64 – 64

Multiply

-8 ±√ 0

Subtract

-8 +√ 0

-8 – √ 0

Split ± into + or -

-8 + 0

-8 – 0

Take the square root

-1

Simplify

10)

Solve using the quadratic formula.

5R2 + 7R - 9 = 0

Write your answers as whole numbers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

R Answer: 0.81 R Answer: -2.21

SOLUTION 1 :

Rember:

The quadratic formula is

-b ±√ b2 – 4ac

where a ≠ 0. It can be used to solve a quadratic equation (aR2 + bR + c = 0).

Use the quadratic formula to solve 5R2 + 7R – 9 = 0.

-b ±√ b2 – 4ac

-7 ±√ 72 – 4(5)(-9)

2(5)

Plug in a = 5, b = 7, and c = -9

-7 ±√ 49 + 180

Multiply

-7 ± 229

Add

-7 +√ 229

-7 –√ 229

Split ± into + or -

≈

0.81 or R ≈ -2.21

Simplify and round to the nearest hundredth