8th Mathletes 04/12

Solutions

100

Lines that have different slopes and different y-intercepts have how many solutions?

One

200

Lines that have the same slope and different y-intercepts have how many solutions?

None

300

Lines that have the same slope and same y-intercept have how many solutions?

Infinitely many

400

Lines that have different slopes and the same y-intercepts have how many solutions?

One

500

How many solutions does this system have?

x + 4 = y

40x - 40y = 1

No solution

Systems of Equations

100

y = 6x - 11

-2x - 3y = -7

(2,1)

200

2x - 3y= -1

y = x - 1

(4,3)

300

y = -3x + 5

5x - 4y = -3

(1,2)

400

y = 5x - 7

-3x - 2y = -12

(2,3)

500

-5x + y = -3

3x - 8y = 24

(0, -3)

Find slope and y-intercept

100

y = 3x + 4

m = 3, b = 4

200

y = -3/4 x - 6

m = -3/4x - 6

300

y = -16 + 4x

m = 4 b = -16

400

3x + 4y = 32

m = -3/4 b = 8

500

-5x = 2y + 10

m = -5/2 b = -5

True or False

100

Multiplication always comes before division

False

200

You never divide by zero

True

300

All rectangles are squares but not all squares are rectangles

False

400

In order to find out how much paint I need to paint my wall, I need to find my the area of my wall

True

500

Can you graph a circle using an equation?

True 

Math Vocabulary

100

What does the E in PEMDAS stand for?

Exponents

200

The name of opposite angles made by intersecting lines

Vertical angles

300

What is the official term for the "sliding" transformation of a geometric shape or point on the coordinate plane

Translation

400

What is the name for a number's distance from zero?

Absolute value

500

The name of the shape that the graph of y = x²

Parabola