sas cheat cards

Question 1

Mean

Answer 1

: Average. Add up all the numbers and divide by the amount of numbers (1+2+3)÷3

Question 2

Median

Answer 2

: Middle number in a set. Write them from smallest to largest, then work your way to the middle. (1 2 4 6 8 - median is 4)

Question 3

Expression:

Answer 3

: Part of a math problem, no equals sign. (examples:. 2+7, p ᐧ 4).

Ex:If they say something like “evaluate the expression if”, they want a number answer
If they say “write an expression”, they want you to make something like the examples using the info they give you

Question 4

Equation:

Answer 4

Needs an equal sign. (examples: x+4 = 8, 2+7=9)
It’s not an equation without an equal sign. No gator mouth signs, no expressions. Must have =

Question 5

Percentage

Answer 5

: part of a number. It’s always shown as some number out of 100. ½ = 50%, because 50/100 = ½.
Can convert to decimal by moving the decimal two places to the left (50%=0.50). Can also do the opposite (0.50=50%)
Can convert from fraction by dividing top number by bottom (½=0.5=50%, ¼=0.25=25%)
“Increase by” means find the percentage, then add it back to the original number. “Decrease by” means find the percentage and subtract from the original number.

Question 6

Fraction Rules

Answer 6

To add or subtract, you need the same number in the bottom of the fraction. Multiply the bottom numbers together, then cross multiply up to change the top numbers to the correct value. Add the top numbers, keep the bottom. (⅓ + ¼ needs 12 in the bottom, so 4/12+ 3/12 = 7/12)
Multiply: Just multiply across the top to get your top number. Multiply across the bottom to get your bottom number. (2/3·1/6. That’s 2 times 1 up top, 3 times 6 in the bottom, so 2/18, or 1/9 simplified(
Divide: Same as multiplication, but flip the second number upside first. (⅔ ÷ ⅙ becomes 2/3·6/1, then multiply to get 12/3, simplified to 4)

Question 7

Linear Equation:

Answer 7

y=mx+b - Use anytime you’re asked to predict growth or decrease. B will always be the fixed number, like the start cost or ‘initial”. M will always be a consistent change, like the price per unit, growth rate, etc.

Question 8

Ratios:

Answer 8

Use any time you’re comparing two numbers. For example, 1 foot is 12 inches. As a ratio, that’s 1:12. You can scale ratios by figuring out how one number changed by multiplication or division, and doing the same thing to the other number. (Example: if 1 foot equals 12 inches, how many inches are in 3 feet? They multiplied 1 foot by 3 to get 3 feet, so do the same with the inches, so 36 is the answer)

Question 9

Area of Rectangles

Answer 9

: Length times Width

Question 10

Area of Triangles:

Answer 10

: ½ of the length times height

Question 11

Area of Circles

Answer 11

: Radius squared times pi (3.14)

Question 12

pythagorean Theorum:

Answer 12

: Use to find the hypotenuse (long diagonal side of a right triangle). A2+B2=C2 (A=one side, B=other side, C=hypotenuse)

Question 13

Volume of Prisms:

Answer 13

Area of Base times Height/Depth

Question 14

Volume of Pyramids

Answer 14

: ⅓ of Area of Base times Height/Depth

Question 15

Volume of Sphere:

Answer 15

4/3 of Radius Cubed times Pi