New York City SHSAT 2017

SHSAT ...

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100 Essential Math Concepts ...

NUMBER PROPERTIES Number Categories Integers are whole numbers; they include negative whole numbers and zero. A rational numbe ...

NUMBER OPERATIONS AND CONCEPTS Exponential Growth If r is the ratio between consecutive terms, a 1 is the first term, an is th ...

DIVISIBILITY Factor/Multiple The factors of integer n are the positive integers that divide into n with no remainder. The mult ...

An integer is divisible by 2 (even) if the last digit is even. An integer is divisible by 4 if the last two digits form a multip ...

FRACTIONS AND DECIMALS Reducing Fractions To reduce a fraction to lowest terms, factor out and cancel all factors the numerato ...

To find the reciprocal of a fraction, switch the numerator and the denominator. The reciprocal of The reciprocal of 5 is The pro ...

PERCENTS Percent Formula Whether you need to find the part, the whole, or the percent, use the same formula: Part = Percent × ...

RATIOS, PROPORTIONS, AND RATES Example:If snow is falling at the rate of one foot every four hours, how many inches of snow will ...

To find the average speed for 120 miles at 40 mph and 120 miles at 60 mph, don’t just average the two speeds. First, figure out ...

AVERAGES Average Formula To find the average of a set of numbers, add them up and divide by the number of terms. To find the a ...

POSSIBILITIES AND PROBABILITY Counting the Possibilities The fundamental counting principle: If there are m ways one event can ...

POWERS AND ROOTS Multiplying and Dividing Powers To multiply powers with the same base, add the exponents and keep the same bas ...

Negative Exponent and Rational Exponent To find the value of a number raised to a negative exponent, simply rewrite the number ...

ABSOLUTE VALUE Determining Absolute Value The absolute value of a number is the distance of the number from zero on the number ...

ALGEBRAIC EXPRESSIONS Evaluating an Expression To evaluate an algebraic expression, plug in the given values for the unknowns ...

After multiplying two polynomials together, the number of terms in your expression before simplifying should equal the number of ...

FACTORING ALGEBRAIC EXPRESSIONS Factoring out a Common Divisor A factor common to all terms of a polynomial can be factored ou ...