Semester One in Algebra Two

Solving Equations

100

Solve for x:

2x + 5 = 4x - 7

x = 6

200

Solve for x:

3x + 13 + 2x + 7 = 180

x = 32

300

Solve for x:

x² + 5 = 30

x = 5, -5

400

Solve for x:

|x| - 3 = 10

x = 13, -13

500

Solve for x:

x³ = 27

x = 3

Systems of Equations

100

Is this ready for elimination:

2x + 3y = 10

5x - 3y = 15

YES

200

What would you have to do to get this ready for elimination?

3x - 2y = 5

6x + 5y = 15

Multiply the first equation by -2

(less likely but still correct answers do exist)

300

Solve for y:

3x - 2y = 10

-3x - 4y = 14

y = -4

400

Solve for x:

2x - 4y = 12

3x + 2y = 2

x = 2

500

Solve for x:

3x + 4y = 8

5x + 3y = -5

x = -4

Diamond Problems and Factoring

100

What are two numbers that multiply to make 20 and add up to 12?

2 and 10

200

What are two numbers that multiply to make 30 and add up to 11?

6 and 5

300

Factor this expression:

x² + 13x + 42

(x + 7)(x + 6)

400

Factor this expression:

x² - 3x - 40

(x - 8)(x + 5)

500

Factor this expression:

x² - 2x - 63

(x - 9)(x + 7)

End Behavior and Polynomial Functions

100

Does this equation have an EVEN or an ODD degree?

y = - (x + 5)(x + 3)(x - 3)(x - 5)(x - 7)

ODD (5 is also an appropriate answer)

200

Does this equation have an even or an odd degree?

y = x⁶ - 4x⁵ + 3x³ - 7x² + 3x - 5

EVEN (6 is also a correct answer)

300

What is the end behavior for this function?

y = - (x + 3)(x + 2)(x - 4)(x - 5)

Down to the left, down to the right

400

What are the x-intercepts of this function?

y = (x - 3)(x - 5)(x - 7)(x + 2)

x = 3, 5, 7, -2

500

What are the x-intercepts of this function?

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

x = 3, 5, -2, -5

Random!!

100

What is the y-intercept of this line?

y = 2x + 5

5

200

What is the slope of this line?

y = 2x + 5

2

300

Solve for x:

x² = - 25

NO SOLUTION

400

What is the vertex of this equation?

y = (x - 2)² - 5

(2, -5)

500

What is the vertex of this equation?

y = - (x + 3)² - 1

(-3, -1)