7th Grade Final Review

Quadratics

100

What is the quadratic formula?

(-b +/- sq rt (b^2 -4ac)) / 2a

200

How do you find the vertex of a parabola?

find the axis of symmetry by using -b/2a

Then plug in the value for x you get back into the formula to solve for y

300

What formula can you use to find rate of change?

(y2 - y1) / (x2 - x1)

400

identify a, b, and c

-3x^2 - 5x + 8

a = -3

b = -5

c = 8

500

What are the solutions for the following equation

(x-2) (x+4) (x-5) = 0

-4, 2, 5

Polynomial Operations

100

Simplify the following polynomial

(x^2 + 4x - 12) + (3x^2 - x + 10)

4x^2 + 3x -2

200

MULTIPLY

3x^2 - 2x -4 multiplied by 2x^2 + x -3

6x^4 - x^3 - 19x^2 + 2x + 12

300

The length of a rectangle is represented by the function L(x) = 4x. The width of the same rectangle is represented by the function w(x) = 7x^2 - 4x + 2.

What is the area in terms of x?

28x^3 - 16x^2 + 8x

400

what is the remainder when f(x)= x^2 + 14x - 8 is divided by (x-3) ?

43

500

rewrite x^2 - 6x + 7 in the form of (x-a)^2 = b

(x-3)^2 = 2

Statistics

100

Describe the difference between correlation and causation

Answers may vary

200

What is the difference between a histogram and a bar graph?

histograms are continuous

300

How can you find the solutions to the parabola and a linear equation?

where the lines intersect

400

what are the solutions for -x^2 -3x -1 = -x -4

x = -3

x = 1

500

Massi threw an eraser in the air. the following table represents the height of the eraser after t seconds. Identify the x-intercept and what it represents

time                     height

0                          10

1                          16

2                          20

3                          16

4                          10

5                          0

the ball touches the ground after 5 seconds.

the x-intercept is (5,0)

Factoring

100

use the perfect square trinomial and provide the first step to calculating 51 

(54-3)^2

(48+3)^2

(49+2)^2

(59-8)^2

(49+2)^2

200

if two functions are being compared, will a variable as the base ( ex. x^2) be greater than the variable as an exponent (ex. 2^x)?

variable as exponent

300

factor completely

9x^2 - 64

(3x+8) (3x-8)

400

What types of solutions will a quadratic equation have when the discriminant b^2 - 4ac in the quadratic formula is zero?

two real solutions

500

What is the y-intercept of the following quadratic? (express your answer as an ordered pair)

f(x) = x^2 - 3x - 6

(0, -6)

Ms. Mongeau Trivia

100

What state is Ms. Mongeau from?

NJ

200

Does Ms. Mongeau like Starbucks or Dunkin'

Starbucks

300

What subject besides math is Ms. Mongeau qualified to teach?

Social studies

400

What are BOTH names of Ms. Mongeau's cats?

Dua and Ollee

500

What is Ms. Mongeau's favorite era of Taylor Swift?

Reputation