Miss M's IA Jeopardy

Exponents

100

10⁶ x 10⁷

10¹³

200

10¹² x 10¹⁶

10²⁸

300

(10³)⁴

10¹²

400

(10⁶⁶)¹⁰

10⁶⁶⁰

500

(10^m)ⁿ

10^mn

Power of 10

100

100

10 to the power of 2, 10²

200

1000

10 to the power of 3, 10³

300

10,000

10 to the power of 4, 10⁴

400

1,000,000

10 to the 6th power, 10⁶

500

1,000,000,000

10 to the 9th, 10⁹

Variables

100

4x + 6 = 10

x = 1

200

-4x + 7 + 4x = 14x + 21

x = 1

300

If my equation has the same variable/unknown on BOTH sides of the equal sign - what is the first thing I should do to try to solve it?

6x + 12 = 4x - 7

Isolate x to one side, combine like terms 

400

If I have two equations that have one shared solution - what are the steps on how to solve that problem?

1. Set them equal to each other

2. Combine like terms

3. Isolate x

4. Plug x value back in to solve for y

500

Find the solution of these two equations:

y = 3x + 5

y = 2x + 20

(3,14)

y=mx+b

100

if the slope is 4/3 and the y intercept is -6, what is the equation?

y = 4/3x - 6

200

what does m represent in y=mx+b? and what does b represent?

the slope.

the y intercept.

300

if the value for (m) is a negative number, does the line for the equation go right or left?

Left

400

If you are given two points - how do you use them to solve for the slope of the problem? What is the equation?

y₂ - y₁

______

x₂  - x₁

500

A line contains the points (4,2) and (0,-1). What is the equations of the line?

y = 3/4x - 1

Multi-Step

100

     What is happening from step 1 to step 2?    

            -3(1 + 2r) = 13 - 6r

Step 1     - 3 + 2r = 13 - 6r

Step 2       -3 + 8r = 13

Step 3           8r = 16

Step 4             r = 2

from step 1 to 2 

- the 6r is being brought to the left side through addition 

200

What is happening from step 2 to step 3?    

            -3(1 + 2r) = 13 - 6r

Step 1     - 3 + 2r = 13 - 6r

Step 2       -3 + 8r = 13

Step 3           8r = 16

Step 4             r = 2

Moving 3 to the right side through addition ( 13 + 3)

300

What is happening from step 3 to step 4?    

            -3(1 + 2r) = 13 - 6r

Step 1     - 3 + 2r = 13 - 6r

Step 2       -3 + 8r = 13

Step 3           8r = 16

Step 4             r = 2

Getting 8 away from r, diving both sides by 8 

16/8 = 2

400

Which step was done incorrectly and why?    

            -3(1 + 2r) = 13 - 6r

Step 1     - 3 + 2r = 13 - 6r

Step 2       -3 + 8r = 13

Step 3           8r = 16

Step 4             r = 2

step 1, the distributive property was done incorrectly 

they forgot to distribute -3 to 2r

500

This problem is incorrect, how can you tell? Where is the mistake?    

            -4(1 + 3r) = 6 - 6r

Step 1     - 4 - 12r = 6 - 6r

Step 2       - 12r  = 10 - 6r

Step 3           - 18r = 10

Step 4              r = - 10/18

Step 2 to 3, -6 is subtracted both sides but needed to be added to both sides

- 6r = 10

r = -6/10

r = - 3/5