Summer Review for Students entering Algebra
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1 Class: Date: Summer Review for Students entering Algebra 08 Multiple Choice Identify the choice that best completes the statement or answers the question. SHOW ALL WORK ON THIS PAPER OR ON ADDITIONAL PAPER.. Find the slope of the line.
2 Graph the equation.. y = x What is the slope of the line that passes through the pair of points?. (, 7), (0, ) Find the value of x that completes the statement. 4. x 6 =
3 Add or subtract. Write each answer in simplest form. YOU MAY NOT USE A CALCULATOR What is an algebraic expression for the word phrase? 0. the difference of r and r r + r r. the quotient of j and 8 j 8 8j j 8 j + 8 What is the simplified form of each expression?. (m + 7) 6m + 9 7m + 8 7m + 9 7m + 7. (4 c)( ) 4 c 4 + c 4 + c 4 c
4 What is the simplified form of each expression? 4. ( 8d w) 8d w 8d + w 8d + w 8d w What is the solution of the proportion?. 4 = d Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through the specified town. 6. What is the actual distance from New Wilmington to Sharon through Volant? 96 mi 48 mi 7 mi 4 mi 7. A map has a scale of cm : 8 km. Two cities are.7 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance? 48.6 km 66.6 km 8.6 km. km 8. Two rectangles are similar. One has a length of 0 cm and a width of 8 cm, and the other has a width of 7 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary. 8.8 cm 6.6 cm 0. cm.6 cm 9. A scale model of a city has scale of cm :. km. Two buildings in the model are.7 cm apart. To the nearest tenth of a kilometer, what is the actual distance between the buildings in the city? 6.8 km 6.8 km 4. km 6 km 0. Is prime or composite? composite prime 4
5 Find the greatest common factor of the numbers.. 4 and , 6, and Find the least common multiple of the set of numbers.. and , 9, and Identify the fraction that is equivalent to Write the fraction in simplest form Write as a decimal
6 Write as a fraction in simplest form Multiply or divide. Write your answer in simplest form Write as a percent % 6.% 60% 6% 6. 0% % 0% % 7. Write 0% as a decimal Write 670% as a fraction or mixed number in simplest form Write using an exponent
7 40. Write in standard form Write 94 in expanded form using powers of 0. Ê ˆ 9 ˆ ˆ 4 0 ˆ Ê 0 ˆ ˆ 0 ˆ ˆ Ê 000 ˆ 9 00 ˆ 0 ˆ 4 0 ˆ Ê 0 ˆ 9 0 ˆ 0 ˆ ˆ What is each number written in scientific notation? 4. 6,000, What is each number written in standard notation? ,600,000 6,000,000 60,000 6, ,400,000,840,000 Find the product or quotient. Write the answer in scientific notation and in standard form. Round to the appropriate number of significant digits. 46. Ê 8. 0 ˆ ˆ ; ; ; ; 0.9 7
8 47. Find the perimeter of the figure cm 80 cm 68 cm 87 cm 49. ft 60 ft 0 ft 0 ft Find the area of the figure. 8 in. 7 in. 468 in. 8. in. 8
9 0. Find the volume of the solid. Round to the nearest tenth if necessary. 4 in. 96 in. 48 in. 6 in.. The table shows how the height of a stack of DVDs depends on the number of DVDs. What is a rule for the height? Number of DVDs Height (cm) n? h = 9n h = n h = 8n h = n What is the simplified form of the expression? YOU MAY USE A CALCULATOR. 4 6,807 6,84,40 What is the simplified form of each expression? You may NOT use a calculator.. 4(0 + ) (4 ) Evaluate u + xy, for u = 8, x = 0, and y = Evaluate (ab) for a = 4 and b =
10 What is the simplified form of each expression? What is the order of, 0.,, 0.7, from least to greatest? 0.7,,,, 0., 0., 0.7,,,, 0.7,, 0. 0., 0.7,,, 9. Which number line model can you use to simplify + ( 8)? + ( 8) = 0 + ( 8) = 0 + ( 8) = 0 + ( 8) = 6 0
11 60. Which number line model can you use to simplify 6 + 4? = = = = 0 What is each sum? YOU MAY NOT USE A CALCULATOR ( ) 9 9 What is each difference? YOU MAY NOT USE A CALCULATOR What is each product? YOU MAY NOT USE A CALCULATOR ( ) What is the simplified form of each expression? YOU MAY NOT USE A CALCULATOR
12 66. Is x = a solution of the equation 8x = 6? yes no What is the solution of each equation? 67. x + = 7? x 9 = 0? Is (, ) a solution of the equation y = 4x? yes no 70. Which ordered pair is a solution of the equation y = x? (, 9) ( 8, ) ( 8, 8) ( 0, 0) What is the solution of the equation? 7. = b w = = p What is the solution of the equation? = d What is the solution of the equation? 7. = 6p 8 p 0 6 0
13 What is the solution of the equation? 76. 4(y + ) = What is the solution of the equation? 77. 6x = x 4 0 Find the product or quotient. YOU MAY NOT USE A CALCULATOR Write the percent as a decimal and as a fraction or mixed number %.4, , % , , , 9 00 none of these 4.97, , Round to the nearest thousandth:, ,000,40.09,40.09, Round to the nearest integer: Round to the nearest tenth: Round to the nearest hundredth:
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