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Pre-Algebra Second Quarter Cumulative Review Name: _________________________________ Date: _________ Period: ____ Chapter 4 Cumulative Test is________________________ 4 – 1 Factors and Prime Factorization (p. 172) Write the prime factorization of the number. Use exponents for repeated factors. 1.) 68 2.) 200 3.) 55 Factor each monomial. 4.) 15n 2 6.) 10a 2 b 5.) 26p3 4 – 3 Equivalent Fractions (p. 182) Simplify the fraction. 7.) 23d 32c 8.) 9mn 18n 2 9.) 15ac 2 24ab 4 – 5 Rules of Exponents (p. 194) Find the product or quotient. 10.) 84 85 11.) 7n 2n 6 12.) 37 32 13.) r11 r9 4 – 6 Negative and Zero Exponents (p. 199) Evaluate the expression if m = -2, n = 3, and p = -1. 14.) n 4 15.) 8m 16.) (n p)3 17.) mnp 1 4 – 7 Scientific Notation (p. 294) Express in standard form. 18.) 2.9 x 10-3 19.) 1.85 x 10-2 20.) 7.045 x 104 21.) 6.1 x 10 2 Express in Scientific Notation. 22.) 45,120,000 23.) 0.008 24.) 0.000319 25.) 1,200 Pre-Algebra Second Quarter Cumulative Review Name: _________________________________ Date: _________ Period: ____ Chapter 5 Cumulative Test is________________________ 5 – 1 Rational Numbers (p. 219) Replace the 1.) 0.6 2 3 with <, >, or = to make a true statement. 2.) 1 5 8 -1.6 3.) 42% 0.42 5 – 2 Adding and Subtracting Like Fractions (p. 225) Find each sum or difference. Write in simplest form. 7 7h 9 15 4.) 5.) h 2 15 9 3 10 6.) 7 5 10 8 5 – 3 Adding and Subtracting Unlike Fractions (p. 231) Find each sum or difference. Write in simplest form. 2 1 1 2 5 6 7.) 8.) 1 1 5 3 3 3 7 9.) 11 14 5 – 4 Multiplying Fractions (p. 237) Find each product. Write in simplest form. 8 5 5 1 3 10.) 11.) 2 9 12 6 3 12.) 2 1 4 4 3 13.) ab 4 2 bc 14.) m2 3r r m 15.) 14 2 3 15 7 18.) n n 8 32 21.) 6 8 13 9 5 – 5 Dividing Rational Numbers (p. 243) Find each product. Write in simplest form. 2 1 11 1 16.) 17.) 4 5 15 18 2 19.) 2 3 7c 2 20.) 3 3 6 5 7 5 – 6 Using Multiplicative Inverses to Solve Equations (p. 247) and 5 – 7 Equations and Inequalities with Rational Numbers (p. 253) Solve the equation. 1 3 22.) a 2 8 23.) m 1.5 1.75 24.) 0.2w = 6 25.) b 4 5 1 7 Pre-Algebra Second Quarter Cumulative Review Name: _________________________________ Date: _________ Period: ____ Chapter 6 Cumulative Test is________________________ 6 – 2 Writing and Solving Proportions (p. 275) and 6 – 3 Solving Proportions Using Cross Products (p. 280) Write a proportion that could be used to solve for each variable. Then solve. 1.) 6 apples at $1.00 2.) 12 cookies at $3.00 3.) 10 cards at $7.50 10 apples at $d 16 cookies at $f p cards at $18.00 6 – 5 Similarity and Measurement (p. 293) 4.) The triangles are similar. Write a proportion to find the missing measure. Then find the value of x. 15 in. 60 in. 10 in. x in. 5.) A tree that is 25 feet tall casts a 40-foot shadow. At the same time, another tree casts a 30-foot shadow. How tall is the second tree? 6 – 6 Scale Drawings (p. 300) The scale for the blue print of a school is 1 in 4ft. Use this scale for # 6 & 7. 2 6.) If the size of a classroom measures 5 in on the blue print, what is the actual size? 7.) The Library is 60 feet long. What is the distance on the blue print? 8.) A car measures 24 ft long. The scale model of the car is 6 in long. What is the scale of the model? Pre-Algebra Second Quarter Cumulative Review Name: _________________________________ Date: _________ Period: ____ Chapter 7 Cumulative Test is________________________ 7 – 2 Percents and Proportion (p. 335) Use the percent proportion to solve each problem. Round to the nearest tenth. 1.) 22 is what percent of 110? 2.) 9.4 is 40% of what number? 3.) What is 15% of 125? 4.) 36 is 15% of what number? 7 – 4 The Percent Equation (p. 345) 5.) A sample from a package of assorted cookies revealed that 20% of the cookies were sugar cookies. Suppose there are 45 cookies in the package. How many can be expected to be sugar cookies? 7 – 5 Percent of Change (p. 352) 6.) A baseball card collection contains 340 baseball cards. What is the percent of change if 25 cards are removed from the collection? 7 – 6 Percent Applications (p. 357) 7.) Find the sale price of a toy truck that normally sells for $15, but is on sale at a discount of 25%. 7 – 7 Simple Interest (p. 362) 1 8.) Find the interest on $2,700 that is invested at 4% for 2 years. 2