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11.1-11.3 Review Name:___________________________ Directions: Please show how to complete each problem below. See the last page to see if your answer matches a square. Your work MUST match the answer. Remember answer may be ‘no solution’ or ‘infinitely many solutions/all real numbers.’ Be familiar with both terms. 1.) 4.) 7.) 26 3b 2 7b x 3x 1 9 2 4 5a 7 3a 1 2 6 12 4 6 10.) 4(3d 2) 8d 28 2.) 16 4t t 40 5.) 2x 4x 1 3 5 5 5 8.) 2(x + 4) – 5 = 2x + 3 11.) 8x + 6 – 9x = 2 – x – 15 3.) 2(7 x) 4x 26 6.) 3(2y 3) 4y 3 9.) 1 (6x 4) 4x 12 2 12.) 2x 9 8 3x 3 13.) The perimeter of the triangle is 126 units. Find the measure of each side. 14.) Forty-eight decreased by a number is the same as the difference of four times the number and seven. Find the number. 15.) The square and the equilateral triangle at the right have the same perimeter. Find the length of the sides of the triangle. 16.) Carpet Plus installs carpet for $100 plus $8 per square yard of carpet. Carpet World charges $75 for installation and $10 per square yard of carpet. Find the number of square yards of carpet for which the cost including carpet and installation is the same. A 1.4 yd2 C 12.5 yd2 B 9.7 yd2 D 87.5 yd2 17.)One shuttle service charges $10 for pickup and $0.10 per mile. The other shuttle service has no pickup fee but charges $0.35 per mile. Find the number of miles for which the cost of the shuttle services is the same. F 2.5 miles G 22 miles H 40 miles J 48 miles 18.) –2x + b = 8x, for x. 19.) 8x – 4y = 16, for y. 1 Bh gives the volume V of a pyramid, where B is the area of the base and h is 3 the height. Solve this equation for B. 20.)The equation V Mark off the answers as you go. Each box will only be used once. -8 -5 25 **find other sides 8 b x 10 40 -7 No solution 12.5 -1 10 3 12 7 6 3v B h -6 11 y 8 x 16 4 Or y = 2x - 4 All real numbers or infinitely many solutions