1. Variables, Expressions, Integers
2. Solving Equations
3. Two-Step Equations
100

What acronym describes the order of operations? What does each letter mean?

PEMDAS: 

parenthesis

exponent

multiply

divide

addition

subtraction

100

For which math operations can you switch around the order/grouping and still get the same answer?

Addition and multiplication


*commutative and associative properties

100

When solving for x in a multi-step equation, in what order do you reverse the steps?

Reverse PEMDAS

200
What is an absolute value? What are the absolute values of 4 and -4?

Absolute value: the distance from the number on a number line to zero (AKA the positive version of a number). |4| = |-4| = 4

200

Write the verbal sentence as an equation and solve for x. 

The difference of x and 8 is -4.

x - 8 = -4

x = 4

200

Write the verbal sentence as an equation and solve.

Negative 8 minus the product of 3 and a number is 19.

-8 - 3x = 19

+8          +8

-3x = 27

----   -----

-3     -3

x = -9

300

Evaluate the expression when x = 2.

2x2 + 4.

2(22) + 4 

 = 2(4) + 4 

 = 8 + 4 

= 12


300

What are the two methods used to simplify (condense/shorten) an expression, and what is the difference between the two?

Distribute: multiply something outside the parenthesis by the parts inside the parenthesis

ex. 2(x + 3) --> 2*x + 2*3 = 2x + 6

Combine like terms: combine terms of the same type

ex. x + 5 + 4x - 7 --> combine x and 4x; combine 5 and -7

--> 5x - 2

300

What do you need to do if you see variables on both sides of the equation?

Move all variables to one side of the equal sign and everything else to the other side.

400

Evaluate...

-46 - 29

-46 + 29

-46 - 29 = -75

-46 + 29 = -15


400

Simplify the expression.

2(x - 7) - 3x


Distribute: 2x - 14 - 3x

Combine like terms:

-x - 14

400

What is the one rule that makes solving inequalities different from solving equalities?

If multiplying or dividing by a negative number, the inequality sign must be flipped.

500

You want to arrive at school at 7:45 A.M. It takes you half an hour to shower and get dressed, 15 minutes to eat breakfast, and 20 minutes to walk to school. What is the latest you can get up and still arrive at school on time?

6:05 AM


500
On July 1, 2001, a Pennsylvania weather station detected an average of 80 lightning strikes per minute over a 24 hour period. Find the total number of lightning strikes detected during that time.

80 strikes per minute * 60 minutes per hour * 24 hours = 80*60*24 = 115,200 lightning strikes in 24 hours

500

Solve the inequality and graph your solution.

12 - 4x ≥ 6x + 2

12 - 4x ≥ 6x + 2

-2  +4x ≥ +4x - 2

10 ≥ 10x

1 ≥ x --> x ≤ 1

Closed circle at 1, arrow to the left

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