New York City SHSAT 2017

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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 ...

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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 ...

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Answers and Explanations ...

PRACTICE SET C Plug in a = 3, b = 6, and c = 5. 1. J Because we are told the value of d, we can plug it into the equation to fin ...

This is another “plug-in” question. Remember, 5yz means 5 • y • z. First we will replace x, y, and z with the values given. Then ...

Divide both sides by 2 to find the value of y: A Distribute −5n to each term within the parentheses: −5n(3m − 2) = (−5n)(3m) + ( ...

Note that 3d minus −2d equals +5d, because subtracting a negative is the same as adding a positive. C Plug in x = −2, y = 3, and ...

Next we divide both sides by 4: B To solve this problem, we have to rearrange the equation until we have the variable alone on o ...