IM2 EOC Review

Polynomials

100

Simplify the following expression:

(x² + 3x + 8) + (-5 - 2x + 4x²)

5x² + x + 3

200

Simplify the following expression:

(5x - 10 + 2x²) - 3(x² + 2x - 5)

-x² - x + 5

300

Convert the following expression into standard form:

(x + 7)(2x - 3)

2x² + 11x - 21

400

Convert the following expression to factored form:

x² + 4x - 12

(x + 6)(x - 2)

500

Convert the following expression into factored form:

3x² - 18x - 21

3(x + 1)(x - 7)

Quadratic Functions

100

What do you call the maximum or minimum of a quadratic function?

Vertex

200

What point does each of the following forms tell us?

Vertex Form

Standard Form

Factored Form

Vertex Form - Vertex

Standard Form - Y-Intercept

Factored Form - X-Intercepts

300

Using desmos, what are the solutions to:

3x² - 5x -15 = -9x

x = -3

x = 1.67 (or x = 5/3)

400

Without using Desmos, what are the solutions to:

3(x - 4)² = 27

x = 7

x = 1

500

Without using Desmos, what are the solutions to the equation:

x² - 6x - 20 = 7

x = -3

x = 9

Absolute Value

100

Simplify the following expression:

-3|2 - 5| + 7

-2

200

Without using desmos, what is the vertex of the following function:

y = -2|x + 4| - 11

(-4, -11)

300

Without using desmos, what is the y-intercept of the following function:

y = -2|x + 4| - 11

(0, -19)

400

Without using desmos, what is the rate of change (or slope) on the interval x = -20 to x = -5 for the following equation:

y = -2|x + 4| - 11

2

500

Without using desmos, what are the x-intercepts of the following function:

y = 3|x + 5| - 12

(-1, 0) and (-9, 0)

Geometry

100

How many total degrees in a triangle?

180

200

One angle of a triangle is 75 degrees. A second angle is 30 degrees. What is the missing angle?

75 degrees.

300

One angle of a parallelogram is 60 degrees. Draw the parallelogram and label the other angles.

The other angles are 60 degrees, 120 degrees, and 120 degrees.

400

What is the distance between the points (-2, 7) and (3, -5)

13

500

A ladder is leaning up against a wall. The base of the ladder is 10 feet away from the wall. The top of the ladder touches the wall 24 feet above the ground. How long is the ladder?

26 feet.

Random

100

What EOC tests are on Monday?

English I and II

200

What days are the Math EOC tests (for students who show up on time)?

April 23rd and April 25th

300

I'm thinking of a number between 1 and 10. What is it?

7

400

Not counting today, how many school days do we have left (including final exam days)?

29

500

What is Mr. Sample's family dog's name?

Kona