Saxon Math, Algebra 1 Study Guide PDF

Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) A1. Identify the property illustrated. (L12) (3 116) 7 = (116 3) 7 A2. Identify the property illustrated. (L12) 116 (3 7) = (116 3) 7 B. Compare the below expressio...

Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) A1. Identify the property illustrated. (L12) (3 116) 7 = (116 3) 7 A2. Identify the property illustrated. (L12) 116 (3 7) = (116 3) 7 B. Compare the below expressions, when 𝑎 = 3 and 𝑏 = 2. Use , or =. (L9) 2 3 3 2 𝑎𝑏 O 𝑎 +𝑏 C. Find the difference: − 1. 1 − (− 2. 3) (L6)  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) D. Jaxson spun the spinner on his “Life” board game, and recorded the results below… Outcome Frequency 1 6 2 10 3 4 What is the probability of landing on 1? On 2? On 3? Express each probability as a reduced fraction, and as a percent. (INV 1) E. Simplify. (-6)(0.3) (L11) 2 F1. Simplify. −5 (L11) 3 F2. Simplify. −5 (L11)  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) G. Simplify. 5(6 − 4) (L15) H. Simplify − 5(2 + 6) (L15) 1 2 I. Simplify ( ) 9 (L3) 3 6 2 1 J. Simplify. − 11 − (− 11 )− 11 + 11 (L10) K. In a catcher’s equipment bag, there are 10 softballs numbered as follows: 5, 6, 6, 6, 6, 7, 7, 7, 8, and 8. A softball is randomly chosen from the bag. What is the probability of choosing a softball with a number greater than 6? (L14, INV1) L1. Is 49 a perfect square? Explain. (L13)  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) L2. Is 110 a perfect square? Explain. (L13) M. Tell whether the statement 𝑥 + 1 = 𝑥 is true or false. Justify your answer using properties. Assume 𝑥 is a real number. (L12) N. Describe the following event as impossible, unlikely, as likely as not, likely, or certain: Kali rolls a number greater than 4 on a number cube (cube is labeled 1-6). (INV 1) 13 O. Identify the subset of real numbers to which 30 belongs? (L1)  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) P. Find the sum of (-7) + (-14). (L5) Q. A rectangular room is 15.5 feet long and 8 feet wide. Its area is (15. 5 8) square feet. 2 ( A circular room has a radius of 4 feet. Its area is 3. 14 4 ) square feet. What is the combined area of the two rooms? (L4) R. Johnny drives his dirt bike at the rate of 45,760 yards per hour. How fast does his dirt bike travel in miles per hour (mph)? (L8) S. A number cube labeled 1-6 is rolled. List the outcomes for the event that a number greater than 4 is rolled. (L14)  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) T. Estimate the value of 124 to the nearest integer. (L13)  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) ANSWERS: A1. (3 116) 7 = (116 3) 7 ANSWER: Commutative Property of Multiplication A2. 116 (3 7) = (116 3) 7 ANSWER: Associative Property of Multiplication 2 3 3 2 B. 𝑎𝑏 O 𝑎 +𝑏 2 3 3 2 32 O 3 +2 72 > 31 2 3 3 2 ANSWER: 𝑎 𝑏 > 𝑎 +𝑏 C. − 1. 1 − (− 2. 3) − 1. 1 + 2. 3 2. 3 + − 1. 1 2. 3 − 1. 1 ANSWER: 1.2 6 3 D. Spinning a “1” six times in 20 total spins = 20 = 10 = 30% 10 1 Spinning a “2” ten times in 20 total spins = 20 = 2 = 50% 4 1 Spinning a “3” four times in 20 total spins = 20 = 5 = 20% E. − 6 × 0. 3 = − 1. 8 2 F1. − 5 = − (5 × 5) = − 25 3 F2. − 5 = − (5 × 5 × 5) = − 125 G. 5(6 − 4) = 5 6 − 5 4 = 30 − 20 = 10 OR 5(6 − 4) = 5(2) = 10  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) H. − 5(2 + 6) = (− 5)(2) + (− 5)(6) = − 10 + − 30 = − 40 OR − 5(2 + 6) = (− 5)(8) = − 40 1 2 2 I. ( ) 9 = 1 2 9 = 1 81 3 6 2 1 −3+6−2+1 2 J. − 11 − (− 11 )− 11 + 11 = 11 = 11 5 1 K. 10 = 2 =. 5 = 50% 1 THE BEST ANSWER IS 2 L1. 49 IS a perfect square, because it IS the product of two identical integers. L2. 110 IS NOT a perfect square, because it is NOT the product of two identical integers. M. False. The only number that you can add to 𝑥 and keep 𝑥’s value is 0. To make this equation true, I would change it to 𝑥 + 0 = 𝑥, which is the Identity Property of Addition. You can also answer this by providing any counterexample (one situation where the original equation does not prove true). N. 2 numbers on a number cube are greater than 4: five and six. There are 6 total numbers on a number cube. 2 1 6 = 3 < 50% ANSWER: Unlikely 13 O. 30 is a rational number, because it can be expressed as an integer (13) divided by an integer (30).  Saxon Math, Algebra I, Study Guide for Test 1-15 (Answers on last pages) P. When adding two negative numbers, add their absolute values, and keep the same sign as the original expression (− 7) + (− 14) |7| + |14| = 21 ANSWER: − 21 Q. 𝐴𝑅 = 15. 5 8 = 124 2 𝐴𝐶 = 3. 14 4 = 50. 24 124 + 50. 24 = 174. 25 ANSWER: 174. 24 square feet OR 174. 24 feet squared 45,760 𝑦𝑎𝑟𝑑𝑠 1 𝑚𝑖𝑙𝑒 45,760(1) R. 1 ℎ𝑜𝑢𝑟 × 1,760 𝑦𝑎𝑟𝑑𝑠 = (1)1,760 = 45, 760 ÷ 1, 760 = 26 𝑚𝑝ℎ ANSWER: 26 miles per hour S. An outcome is a result of an event. 5 & 6 are the two possible outcomes for numbers greater than 4. ANSWER: (5, 6) T. 144 = 12 121 = 11 124 falls closer to 121 than it does to 144. Therefore, the value of 124 is nearest to 11. ANSWER: 11