AccelePrep for the ACT Test 2nd Edition Student Text

C HAPTER 5 | H YPER P REP M ATH • 107

1. Š‹• ‹–‡ •’‡…‹ϐ‹…ƒŽŽ› ƒ•• ›‘— –‘ ‡˜ƒŽ—ƒ–‡ ƒ ƒŽ‰‡„”ƒ‹…‡š’”‡••‹‘ ƒ– ƒ particular value, so test the value: , 2 2 2 1 4 4 1 1 2 ] ] g g (D). 2. ( ) ( ) g 2 2 2 5 4 5 1 ( ) f 1 1 3 2 Therefore (H) is correct. 3. —•– ƒ••—‡ ƒ ˜ƒŽ—‡ ˆ‘” x , say x = 2, and substitute 2 for x in the expression given in the stem: 1 x x 1 1 2 1 2 1 3 3 2 2 Now substitute 2 for x in each answer choice, and the correct answer will return the value 1: (Wrong) 4. Here you have two variables, so assume values for both. If x = 2, then y = 2 – 2 = 0, and 0 2 4 2 ] g . Therefore, the value of the expression is Ͷǡ ȋ ȌǤ 5. Assume some numerical values for the variables in the question stem, say a 1 and b 1. Using these values, the numerical value of the expression in the question stem is calculated as: 4 3 4 3 12 1 1 2 1 3 1 2 3 ^ ^ ^ ^ ^ ^ h h h hh h 12. Chelsea’s current height is 150 cm and her growth is averaging 0.5 cm per month. Travis’s current height is 140 cm and his growth is averaging 0.75 cm per month. If Chelsea and Travis continue to grow taller at these constant rates, in approximately how many months will Chelsea and Travis be the same height? F. 2 G. 20 H. 40 Ǥ ͸Ͳ K. 80 A. x 1 2 1 1 (Correct) B. x 1 2 1 3 (Wrong) C. x 2 4 2 2 (Wrong) D. ( ) x x 2 1 2 2 2 1 1 2 2 ( ) x x 2 1 2 2 2 1 7 2 2 (Wrong) E. 11. Which of the following is a solution for the equation x 16 0 2 ? A. 32 B. 16 C. 8 D. 4 E. –2

CLOSER LOOK When to use Test-the-Test: 1. Test-the-Test if you are unsure of how to directly solve the item from the information given in the item stem. 2. Test-the-Test if it is the fastest or easiest approach.

Answers

Return to the pages below to review each item:

1. p. 104 2. p. 104 3. p. 105 4. p. 105 5. p. 105 6. p. 105 7. p. 105 8. p. 106 9. p. 106 10. p. 106 11. p. 107 12. p. 107