Summer Math Review

Math Skills / Vocabulary

100

What are the integer rules of multiplication?

negative x negative = positive

negative x positive = negative

positive x positive = positive

200

What does PEMDAS stand for?

Parenthesis

exponents

multiplication - division

addition - subtraction

300

What is the first step here called?

3(x+2)

Distribution!

400

What is a y-intercept?

Where the graph touches the y -axis

the starting point when graphing

b in y=mx+b

500

What is an arithmetic sequence? (300 pts)

For full 500 pts, give us the formula!

A list of numbers that adds to get from one term to the next

Formula: a_n= a₁ + (n-1) (d)

Probabilities

100

What is the probability of landing heads when flipping a coin (as a percentage)?

50 %

200

What is the probability of rolling a dice and getting a 4? (as a fraction and percentage)

1/6 = 16.7%

300

What is the probability of rolling a dice and getting a 4 OR a 5? (as a fraction and percentage)

1/6 x 1/6 = 1/36 = 2.8%

400

What is the difference between theoretical and experimental probability?

Theoretical: the expected probability - what should happen

Experimental: what does happen during an experiment 

500

A bag holds 18 marbles: 9 are red, 5 are blue, and 4 are green.

As a fraction and percentage, what is the probability of randomly choosing a green marble?

4/18 = 2/9

22.22%

Multi-Step Equations

100

Solve for X

10 = 5x

x = 2

200

Solve for x

15 = 2x + 5

x = 5

300

Solve for x

-25 = -3x - 10

x = 5

400

Solve for x

8x + 10 = 5x + 19

x = 3

500

Find the mistake 

3x + 5 = 5x + 1

+3x       +3x

5 = 8x + 1

-1       -1

4 = 8x

x = 0.5

3x should have been subtracted!

Linear Equations

100

Name the y-intercept.

Y = 3x - 4

y intercept = -4

200

What is this equation called?

Y = mx + b

slope - intercept form!

300

Graph this equation

Y = 2x - 5

Ms.Brenda checks for accuracy

400

Convert this sequence formula into a linear equation

an= 11-3(n-1) 

y = -3x + 14

500

Convert this sequence formula into a linear equation AND graph it

an= 6-3(n-1) 

y = -3x + 9 

*Ms.Brenda checks graph

Random Facts

100

Finish this sentence:

I can’t do this ______ .

I can’t do this YET .

200

Who is each other’s best resource?

EACHOTHER!

300

What school does Ms.Brenda work in during the school year?

Arise High School

400

What is the value of π ?

**At least 4 digits after the decimal

3.14159265359

500

Name one of Ms.Brenda’s top 10 favorite Pokémon.

Turtwig - Pikachu - Cubone

Mew - Patrat - Jigglypuff

Piplup - Wartortle - Dragonite

Kangaskhan