New York City SHSAT 2017

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 ...

...

...

Practice Set 1. What is the value of if a = 3, b = 6, and c = 5? (A) 0 (B) 15 (C) 30 (D) 45 (E) 60 2. If and d = 1, then 3 c + d ...

If y = 2, and then x (^2) − 5yz + y (^2) = (A) 1 (B) 2 (C) 4 (D) 7 (E) 8 If x + y = 7, what is the value of 2 x + 2y − 2? (F ...

(A) −15mn + 10n (B) 15 mn − 10n (C) −8mn + 7n (D) 8 mn + 7n (E) −2mn − 7n What is the value of (a + b)^2 , when a = −1 and b = ...

(A) −13 (B) −7 (C) −1 (D) 7 (E) 19 If 3 x + 7 = 14, then x = (F) −14 (G) 0 (H) (J) 3 (K) 7 If x is an integer, which of the f ...

(F) −16 (G) (H) −4 (J) 0 (K) 4 If 3 ab = 6, what is the value of a in terms of b? (A) 2 (B) (C) (D) 2 b (E) 2 b^2 If x and y ...

(A) 2 n + 4 (B) 3 n + 2 (C) 3 n + 5 (D) 5 n + 5 (E) 5 n + 7 If what is the value of p? 20. (F) (G) (H) (J) (K) 2 If what is the ...

(F) 2 x + y (G) 2(x + y) (H) x^2 + y^2 (J) xy + y (K) 2 x + y^2 If 100 ÷ x = 10n, then which of the following is equal to nx? ...

(F) (G) 3 (H) 5 m (J) 4 m + 33 (K) 3 m − 3 If a + 2b + 2c = 5 and a + 2b + 3c = 5, what is the value of a + 2b + 4c? (A) 0 (B) ...

(A) x > 0 (B) y > 0 (C) xy > 0 (D) x − y > 0 (E) x + y > 0 If the average (arithmetic mean) of 5, 7, 9, 15, and ...

...

Answers ...

EXERCISE i. B (11 + 3x) − (5 − 2x) = 11 + 3x − 5 + 2x = 11 − 5 + 3x + 2x = 6 + 5x ii. −4a − b iii. −a iv. 3 y v. m^2 + 10m + 16 ...