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ACT Prac Test with prep notes

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2 29. In the 8-sided figure below, adjacent sides meet atright angles and the lengths given are in meters. Whatis the perimeter of the figure, in meters?A. 40B. 80C. 120D. 160E. 40010. The sum of the real numbers x and y is 11. Their differenceis 5. What is the value of xy ?F. 3G. 5H. 8J. 24K. 5511. For all x, (3x +7) 2 =?A. 6x +14B. 6x 2 +14C. 9x 2 +49D. 9x 2 +21x +49E. 9x 2 +42x +4912. What is the slope of the line through (–5,2) and (6,7) inthe standard (x,y) coordinate plane?F. 9G. 5H. –5J.5__11K. –5__1113. When1_ k +1_ k = 1, what is the value of k ?3 4A.1_712B. __7C.7_2D. 6E. 121282014. What is the length, in feet, of the hypotenuse of a righttriangle <strong>with</strong> legs that are 6 feet long and 7 feet long,respectively?F. 13G. 85H. 13J. 21K. 4215. Hexagon ABCDEF shown below was drawn on a grid<strong>with</strong> unit squares. Each vertex is at the intersection of2 grid lines. What is the area of the hexagon, in squareunits?F EDA. 18B.C.1920CD.E.2225AB16. In the figure below, ADis perpendicular to BD, ACisperpendicular to BC, and AD≅ BC. Which of the followingcongruences is NOT necessarily true?F. AC≅ BDG. AD___DC___≅___AEEH. AE ≅ BEJ. ∠DAB ≅∠CBAK. ∠EAB ≅∠EBAAB17. Leticia went into Discount Music to price CDs. AllCDs were discounted 23% off the marked price. Leticiawanted to program her calculator so she could input themarked price and the discounted price would be theoutput. Which of the following is an expression for thediscounted price on a marked price of p dollars?A. p – 0.23pB. p – 0.23C. p –23pD. p –23E. 0.23p18. In the figure below, A, D, B, and G are collinear. If∠CAD measures 76°, ∠BCD measures 47°, and ∠CBGmeasures 140°, what is the degree measure of ∠ACD ?CF. 12°G. 14°H. 17°J. 36°K. 43° A D B G<strong>ACT</strong>-61C-PR<strong>ACT</strong>ICE27GO ON TO THE NEXT PAGE.

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