New York City SHSAT 2017

less than, 0.25. G The average of a series of consecutive numbers is equal to the middle term. Since 11 is the average of these ...

To get rid of a square, take the square root; to get rid of a cube, take the cube root. Most people find it easier to work with ...

To figure out whether (B) or (C) is correct, you can either plug in additional pairs of numbers or consider number properties. N ...

YZ is 15 more than XY: YZ = 20 + 15 = 35 So XZ is: XY + YZ = XZ 20 + 35 = 55 C If you’re looking for the least value and you’re ...

When a question describes a trip in which someone travels at two different speeds and then asks for the average speed of the ent ...

Chapter 9 ...

Algebra Review: The Basics HIGHLIGHTS Get an Overview Review the Algebra Concepts You Need to Know Practice Set ...

...

Overview Algebra problems will appear in two forms on the SHSAT: as regular math problems and as word problems. Word problems ar ...

...

Algebra Concepts Before diving into the content review, turn to 100 Essential Math Concepts in the Resources Section of this boo ...

EXPRESSIONS An algebraic expression on the SHSAT is likely to look something like this: (11 + 3x) − (5 − 2x) = It would, of cour ...

Multiplying and dividing monomials is a little different. In addition and subtraction, you can combine only like terms. With mul ...

vi. (n − 6)(n + 3) ...

EQUATIONS The key to solving equations is to do the same thing to both sides of the equation until you have your variable isolat ...

Then, subtract 3x from both sides to get all the x’s on one side of the equation. Finally, divide both sides by 4 to isolate x. ...

SUBSTITUTION If a problem gives you the value for a variable, just plug the value into the equation and solve. Make sure that yo ...

PICKING NUMBERS You read about Kaplan’s backdoor method of picking numbers in the Introducing SHSAT Math chapter of this book. Y ...

INEQUALITIES Solve inequalities as you would any other equation. Isolate the variable for which you are solving on one side of t ...

...