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Section 1

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Parabolas: Equation for the line of symmetry

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Mar 1, 2020

Cards (46)

Section 1

(46 cards)

Parabolas: Equation for the line of symmetry

Front

Back

Solving Fraction, Ratio, or Proportion equations

Front

1) Identify whether the problem involves fractions or ratios 2) If a ratio question asks you to change or identify values, first find the sum of your pieces (This sum will either be your complete whole or will be a factor of your whole, if your ratio has been reduced). 3) When in doubt try to use decimals 4) Remember your special fractions

Back

Parabola Direction with B

Front

Positive b = left of origin Negative b = right of origin

Back

(x)^ (-y) = 1/((x)^y)

Front

A base raised to a negative exponent equals 1 divided by the base raised to the positive exponent.

Back

SAT Integer Strategies

Front

1.Make sure the question requires an integer. 2. Use real numbers if you forget your integer rules. 3. Keep your work organized.

Back

Perpendicular Lines

Front

have opposite-signed reciprocal slopes

Back

To Solve Absolute Value Equations

Front

Break the absolute value apart into two equations, one with a positive solution and one with a negative solution.

Back

Rational Expressions

Front

a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials.

Back

Unknown Consecutive Odd/Even Numbers

Front

This is the same as consecutive integers, only they are going up every other number instead of every number. This means there is a difference of two units between each number in the sequence instead of 1.

Back

x/0 =

Front

undefined

Back

Determining Prime Factors

Front

To make sure you try every necessary potential factor, take the square root of the number you are trying to determine is prime. Any integer equal to or less than the square root will be a potential factor, but you do not have to try any numbers higher.

Back

3. Even * Odd =

Front

3. Even

Back

Parabolas: Standard Form

Front

Vertex and root form, FOILed out, equals standard form

Back

Linear Functions

Front

if you have a variable on the output side of the function, it cannot be raised to a power higher than 1. Line

Back

i =

Front

square root of -1

Back

Function

Front

A given input produces one output. f(x) = y

Back

Parabola Direction with A

Front

Positive a = parabola upwards Negative a = parabola downwards Large a = skinny parabola Small a = large parabola

Back

Prime Numbers

Front

1 is NOT a prime number 2 is the ONLY even prime number

Back

Turn a mixed fraction into an ordinary fraction

Front

You can turn a mixed fraction into an ordinary fraction by multiplying the whole number by the denominator and then adding that product to the numerator. 7 3/4 => 7*4 = 28 => 28+3 = 31 => 31/4

Back

No Solution (system of equations)

Front

In order for a system of equations to have no solution, the "x"values must be equal and the "y" values must be set to 1 (both variables will be equal).

Back

0/x =

Front

0

Back

Outliers

Front

are a small group of values that are significantly smaller or larger than the other values in the data When there are outliers in the data, the mean will be pulled in their direction (either smaller or larger) while the median remains the same.

Back

Range

Front

Max value - Min value

Back

2. Odd * Odd =

Front

2. Odd

Back

5. Odd + Odd =

Front

5. Even

Back

Absolute Value

Front

An absolute value is a representation of distance along a number line, forward or backwards. This means that an absolute value equation will always have two solutions. It also means that whatever is in the absolute value sign will be positive, as it represents distance along a number line and there is no such thing as a negative distance.

Back

Domain

Front

the set of all possible input values. he domain of a rational expression includes all real numbers except for those that make its denominator zero.

Back

xⁿ * yⁿ = (xy)ⁿ

Front

When multiplying different numbers but are raised to the SAME POWER, then just multiply the bases together.

Back

Unknown Consecutive Numbers

Front

You can write unknown consecutive numbers out algebraically by assigning the first in the series a variable, x, and then continuing the sequence of adding 1 to each additional number.

Back

Lines with slopes of 1 or -1

Front

Make a 45-45 triangle on the xy-plane

Back

Parabolas: Values of a

Front

+a = upward parabola -a = downward parabola Absolute value of a >1 = skinny parabola Absolute value of a<1 = wide parabola, positive fraction

Back

Parabola Direction with C

Front

C = y-intercept of the parabola (when b=0, the y-intercept will also be the vertex of the parabola)

Back

Fractional Exponents

Front

The denominator becomes the value to which you take the root, and the numerator becomes the exponent to which you take the number under the root sign.

Back

Root index

Front

If there is a number on the outside of a square root symbol, that represents how many numbers should be multiplied to equal the number under the square root symbol.

Back

Remainders

Front

Now we also know that, when positive consecutive integers are divided by any number, the remainders increase by 1 until they hit their highest remainder possible. When that happens, the next integer remainder resets to 0. This is because our smaller number has gone into the larger number an even number of times (which means there is no remainder).

Back

Calculate Slope

Front

Use the slope triangle if you can

Back

4. Even + Odd =

Front

4. Odd

Back

Factoring Exponents

Front

Any even power of x is the square of another power x⁶ = (x³)²

Back

Imaginary Numbers will always simplify to...

Front

1, -1, i, or -i

Back

Infinite Solutions (system of equations)

Front

Each system is identical (it is the same line)

Back

x^a * x^b = x^[a+b]

Front

When multiplying numbers WITH THE SAME BASE raised to a power, just add the powers together.

Back

Parallel Lines

Front

have equal slope

Back

Difference of Two Squares

Front

(a² - b²) = (a+b) * (a-b)

Back

1. Even * Even =

Front

1. Even

Back

Quadratic Formula

Front

The formula is:

Back

6. Even + Even =

Front

6. Even

Back