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Name __________________________________________ Pd. ______ Pre-Algebra Chapter 9 Review Directions: Complete each of the following. Show All work for full credit. CIRCLE your answer. Write the product using exponents. 𝟏 𝟏 𝟏 𝟏 1.) (− 𝟑) ∙ (− 𝟑) ∙ (− 𝟑) ∙ (− 𝟑) 2.) 𝟐 ∙ 𝝅 ∙ 𝒓 ∙ 𝒓 Evaluate the expression. 3.)−𝟏𝟎𝟑 4.) (−𝟐)𝟓 6.) 𝟐 − 𝟓 ∙ (−𝟏)𝟒 7.) (𝟏 − 𝟓)𝟑 𝟏 𝟖 𝟐 𝟑 5.) (𝟕) 8.) (𝟕𝟒 − 𝟕𝟑 ) ÷ 𝟕 Simplify the expression. Write your answer as a power. 9.) (−𝟒) ∙ (−𝟒)𝟐 𝟑 12.) (𝒓𝟐 ) 𝟗𝟓 𝟗 11.) 𝟏.𝟓𝟕 ∙𝟏.𝟓𝟔 𝟏.𝟓𝟏𝟎 14.) 10.) ( 𝟐) 13.) 𝒃𝟖 𝒃𝟒 𝒄𝟒 𝒅𝟐 𝒄𝒅 Simplify the expression. 𝟑 𝟑 15.)(− 𝟒 𝒙) 16.) 𝟓𝟒 ∙𝒘 𝟓𝟑 17.) 𝒄 𝟒 𝒅𝟐 𝒄𝒅 Name __________________________________________ Pd. ______ Pre-Algebra Evaluate the expression. 18.) 𝟖−𝟐 19.) – 𝟏𝟐𝟎 20.) 𝟐−𝟑 ∙𝟐𝟑 𝟐𝟓 Simplify. Write the expression using only positive exponents. 21.) 𝟓𝒃−𝟐 𝒃−𝟑 22.) −𝟐𝒛−𝟔 ∙ 𝟕𝒛𝟑 23.) 𝒂𝟐 ∙ 𝒃−𝟐 ∙ 𝒃𝟐 Write the number in standard form. 24.) 𝟒 × 𝟏𝟎𝟓 25.) 𝟑. 𝟗 × 𝟏𝟎−𝟑 26.) 𝟒. 𝟕𝟕𝟓 × 𝟏𝟎𝟕 Write the number in scientific notation. 27.) 0.00005 28.) 𝟏, 𝟐𝟎𝟎, 𝟎𝟎𝟎 29.) 0.04056 Evaluate the expression. Write your answer in scientific notation. 30.) (𝟗. 𝟏 × 𝟏𝟎−𝟑 ) − (𝟔 × 𝟏𝟎−𝟑 ) 31.) (𝟗. 𝟕 × 𝟏𝟎𝟒 ) + (𝟏. 𝟓 × 𝟏𝟎𝟓 ) 32.) (𝟑. 𝟏 × 𝟏𝟎𝟐 ) × (𝟐 × 𝟏𝟎−𝟑 ) 33.) (7.5 × 𝟏𝟎−𝟗 ) ÷ (𝟑. 𝟕𝟓 × 𝟏𝟎−𝟏𝟐 ) Name __________________________________________ Pd. ______ Pre-Algebra 34.) Your internet connection speed is 𝟒𝟗 bits per second. a.) How many times faster is an internet connection speed of 410 bits per second. b.) You can upgrade your internet connection speed of 410 speed to be 16 times faster. What is the connection speed? Write your answer as a power. 35.) The table shows the diameters of four planets. Planet Diameter (km) Jupiter 1.4 × 105 Saturn 1.2 × 105 Uranus 5.1 × 104 Neptune 5.0 × 104 a.) Which planet has the greatest diameter? Least diameter? b.) How much greater is the diameter of Jupiter than the diameter of Saturn? Write your answer in standard form. 36.) Earth contains about 𝟑. 𝟑 × 𝟏𝟎𝟖 cubic miles of water. a.) About 3% of the water on Earth is freshwater. Write 3% in scientific notation. b.)About how much freshwater is on Earth? Write your answer in scientific notation.