Quadratic Quest

Froggy Jumps

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Solve quadratic puzzles

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Parmita Baksi

Cambodia

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Froggy Jumps Quadratic QuestOnline version Solve quadratic puzzles by Parmita Baksi 1 Solve: x^2 - 5x + 6 = 0. What are the roots? a x=1 or x=6 b x=2 or x=3 c x=-2 or x=3 2 Which method is typically fastest for x^2 - 4x - 5 = 0? a Completing the square b Factoring c Graphing 3 Find the discriminant for ax^2+bx+c=0 when a=1, b=4, c=5. a Discriminant = 16 - 20 = 4 b Discriminant = 4 c Discriminant = 4^2 - 4(1)(5) = -4 4 What is the quadratic formula to find x? a x = [-b ± sqrt(b^2 - 4ac)]/(2a) b x = a/b c x = [-b ∓ sqrt(b^2 + 4ac)]/(2a) 5 Complete the square for x^2 + 6x - 7 = 0. What is the vertex form? a (x-3)^2 - 7 = 0 b (x+6)^2 - 7 = 0 c (x+3)^2 - 16 = 0 6 The axis of symmetry of y = x^2 - 8x + 3 is at x = ? a x = -4 b x = 2 c x = 4 7 If the roots of x^2 - 7x + 12 = 0 are r1 and r2, what is r1+r2? a -7 b 12 c 7 8 Given y = a(x-h)^2 + k, the vertex is at (h,k). What is the vertex of y = 2(x-1)^2 + 5? a (5, 1) b (2, 7) c (1, 5) 9 For x^2 - 2x + 1 = 0, what is the nature of the roots? a No real roots b One repeated root x=1 c Two distinct roots 10 If a=1, b=0, c=-9, what are the roots of x^2 - 9 = 0? a x = 0 or x = 9 b x = 9 or x = -9 c x = 3 or x = -3

Froggy Jumps

Quadratic QuestOnline version

Solve quadratic puzzles

by Parmita Baksi

Solve: x^2 - 5x + 6 = 0. What are the roots?

x=1 or x=6

x=2 or x=3

x=-2 or x=3

Which method is typically fastest for x^2 - 4x - 5 = 0?

Completing the square

Factoring

Graphing

Find the discriminant for ax^2+bx+c=0 when a=1, b=4, c=5.

Discriminant = 16 - 20 = 4

Discriminant = 4

Discriminant = 4^2 - 4(1)(5) = -4

What is the quadratic formula to find x?

x = [-b ± sqrt(b^2 - 4ac)]/(2a)

x = a/b

x = [-b ∓ sqrt(b^2 + 4ac)]/(2a)

Complete the square for x^2 + 6x - 7 = 0. What is the vertex form?

(x-3)^2 - 7 = 0

(x+6)^2 - 7 = 0

(x+3)^2 - 16 = 0

The axis of symmetry of y = x^2 - 8x + 3 is at x = ?

x = -4

x = 2

x = 4

If the roots of x^2 - 7x + 12 = 0 are r1 and r2, what is r1+r2?

-7

Given y = a(x-h)^2 + k, the vertex is at (h,k). What is the vertex of y = 2(x-1)^2 + 5?

(5, 1)

(2, 7)

(1, 5)

For x^2 - 2x + 1 = 0, what is the nature of the roots?

No real roots

One repeated root x=1

Two distinct roots

If a=1, b=0, c=-9, what are the roots of x^2 - 9 = 0?

x = 0 or x = 9

x = 9 or x = -9

x = 3 or x = -3

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Quadratic Quest

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Quadratic QuestOnline version

by Parmita Baksi

Solve: x^2 - 5x + 6 = 0. What are the roots?

Which method is typically fastest for x^2 - 4x - 5 = 0?

Find the discriminant for ax^2+bx+c=0 when a=1, b=4, c=5.

What is the quadratic formula to find x?

Complete the square for x^2 + 6x - 7 = 0. What is the vertex form?

The axis of symmetry of y = x^2 - 8x + 3 is at x = ?

If the roots of x^2 - 7x + 12 = 0 are r1 and r2, what is r1+r2?

Given y = a(x-h)^2 + k, the vertex is at (h,k). What is the vertex of y = 2(x-1)^2 + 5?

For x^2 - 2x + 1 = 0, what is the nature of the roots?

If a=1, b=0, c=-9, what are the roots of x^2 - 9 = 0?

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