Random Need to Knows
Vocabulary
Formulas
Practice Problems
Area
100
Simplify (x^3)(x^4) and explain.
x^7 because when multiply numbers with the same base, you can add the exponents.
100
The number in a set that falls in the middle when the terms are all in order.
What is the median?
100
y=mx+b
What is slope intercept?
100
(8^4) - (8^2) =
What is 64? You can subtract the exponents since the base is the same, leaving you with 8^2, which is 64.
100
The formula for the area of a rectangle.
What is Area= Length x Width?
200
Opposite/ hypotenuse
What is sine ratio?
200
Positive and negative whole numbers. ex: 1, 0, -2, etc
What is an integer?
200
Rise/Run or Change in Y/ Change in X
What is slope?
200
Find the value of x when 2x + 3 = 3x – 4
What is 7? You can solve this problem by first subtracting 2x from each side of the equation to get 3 = x – 4. Then add 4 to each side, so x = 7.
200
The formula for the area of a square.
What is Area= (Side)^2 or Length x Width?
300
Simplify (x^2)^4 and explain.
x^8 because whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power.
300
A way of writing really big numbers using exponents.
What is scientific notation?
300
ax^2+bx+c=0
What is the quadratic equation?
300
The length, in inches, of a box is 3 inches less than twice its width, in inches. Provide a formula that shows the length, L inches, in terms of the width, W inches, of the box.
What is L= 2W-3. The question is asking you to provide a formula that shows the length in terms of width, meaning you would start by writing "L=..." Twice a number means to multiply the number by 2, and 3 less than a number means to subtract 3 from the number. Combining these, you get L= 2W – 3.
300
The formula for the area of a circle.
What is πr^2?
400
Opposite/ Adjacent
What is tangent ratio?
400
Any number that can't be represented as a fraction or whose digits right of the decimal point have no pattern. ex: 6.5290164378
What is an irrational number?
400
(x1+x2)/2, (y1+y2)/2
What is the midpoint formula?
400
Find the greatest common factor of 42, 126, and 210.
What is 42? You can find the greatest common factor by writing out the prime factorization of all three numbers, and then taking each of the common prime factors to the lowest power that appears for that factor: 42 = 2 × 3 × 7; 126 = 2 × 3^2 × 7; and 210 = 2 × 3 × 5 × 7. So the greatest common factor is 2 × 3 × 7 = 42.
400
The formula for the area of a triangle.
What is Area= 1/2 (base x height)?
500
Adjacent/ Hypotenuse
What is cosine ratio?
500
An expression that has one term. ex: 3x^2
What is a monomial?
500
d=√(x1-x2)^2 + (y1-y2)^2
What is the distance formula?
500
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
What is 16? If x = sales for the first year, then x + 3 = sales for the second year. Since sales for the third year were double the sales for the second year, sales for the third year = 2(x + 3). Sales for the third year were 38, so 2(x + 3) = 38. To solve this equation, you could first divide each side by 2 to get x + 3 = 19. Then, by subtracting 3 from both sides, x = 16.
500
The formula for the area of a parallelogram.
What is Area= Base x Height?
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