Algebra 2 - Chapter 1 Review Station 1 Naming Properties Problems Answers 1. 7+0=7 1. Additive identity 2. 2 =1 2. Multiplicative Inverse 3. 3+5=5+3 3. Commutative Property 4. (3x)y = 3(xy) 4. Associative Property of Mult 5. If x = 5 and 5 = y, then x = y 5. Transitive Property Algebra 2 - Chapter 1 Review Station 2 Name the type of numbers Problems Answers 1. 12 1. N, W, Z, Q, R 2. – 12 2. Z, Q, R 3. √12 3. I, R 4. 0.5 4. Q, R 5. √16 5. N, W, Z, Q, R Algebra 2 - Chapter 1 Review Station 3 Write the algebraic expression Problems Answers 1. The difference of 3 and the product of 5 and x 1. 3 – 5x 2. Twice the sum of x and 10 2. 2(x + 10) 3. x less than 25 3. 25 – x 4. a number decreased by 8 4. x – 8 5. The quotient of 3 and a number 5. Algebra 2 - Chapter 1 Review Station 4 Translate the following Problems Answers 1. The product of x and 5 is less than 7 1. 5x < 7 2. 11 more than x is no less than 43 2. x + 11 ≥ 43 3. The quotient of x and 3 is no more than 45 3. ≤ 45 4. A number squared is greater than or equal to 8 4. x2 ≥ 8 5. Three more than a number is more than 5 5. x + 3 > 5 Algebra 2 - Chapter 1 Review Station 5 Write an absolute value for the following Problems Answers 1. The weight of a bag of pasta is between 16.8 oz and 15.6 oz 1. | − 16.2| ≤ 0.6 2. The classroom temperature ranged between 62oF and 78oF 2. | − 70| ≤ 8 3. Snakes are less active when it’s less than 75oF or more than 90oF 3. | − 82.5| > 7.5 4. An Acura RDX costs between $35,270 and $43,420. 4. | − 39345| ≤ 4075 5. Concert tickets at Verizon Amphitheater ranged between $30 and $150 5. | − 90| ≤ 60 Algebra 2 - Chapter 1 Review Station 6 Solve for x Problems Answers 1. 2xy + 3z = 10w 1. = 2. 4x – xy = 12 2. = 3. xy + xz – yz = xzy 3. = 4. = 5. = =5 4. 5. # =4 or = − = + ! ! # $ or Algebra 2 - Chapter 1 Review Station 7 Evaluate Problems 1. y(yz – x) Answers when x = –6, y = –3, z = 5 1. 27 2. p + r(r + q) when p = 1, q = 2, r = 3 2. 16 3. y + z2 – x when x = –5, y = –1, z = –3 3. 13 4. p2(mn – 3) when m = –2, n = –1, p = 3 4. –9 5. %ℎ − |% − 4ℎ| 5. –20 when h = 3, j = –2 Algebra 2 - Chapter 1 Review Station 8 Solve the inequality & graph Problems Answers 1. 2(1 – 4x) + 4(x + 8) < 7x – 2 – 6 + 3x 1. x > 3 2. –(5x – 4) – 5(–x + 2) > 1 2. No Solution 3. 4(–3 + 5x) + 2 ≥ 3(–8x – 6) + 8 3. x ≥ 0 4. 7 – 5(x – 5) > –5(x + 2) + 6 4. All Real Numbers 5. –6(2x + 7) < –2(6 + 3x) 5. x > –5 Algebra 2 - Chapter 1 Review Station 9 Solve for x Problems Answers 1. –4(x + 1) = –4x – 4 1. All Real Numbers 2. = −2 2. x = –2.5 3. –5x + 8(x + 8) = 3(x + 3) 3. No Solution 4. –6x – 7(4 + x) = –4 – 8(–7x + 3) 4. x = 0 5. 8(–x + 3) + 4x = –3(x – 5) 5. x = 9 Algebra 2 - Chapter 1 Review Station 10 Solve & Graph Problems Answers 1. 10|9 − | + 6 > −4 1. All Real Numbers 2. 2|−4 − | − 1 > 1 2. x < –5 or x > –3 3. 9| − 9| + 3 < −51 3. No Solution 4. | + 6| + 10 > 25 4. x > 9 or x < –21 5. 4 − 5|−7 | < −66 5. x < –2 or x > 2 Algebra 2 - Chapter 1 Review Station 11 Solve Problems Answers 1. |7 + 2| = 0 1. 2. |9 − 9| = −81 2. No Solution 3. 9|−3 − 10| = 63 3. 4. −2|−9 + 9| = −18 4. x = 0, 2 5. | ! | =5 5. = −( ( =− = $ , −1 , − Algebra 2 - Chapter 1 Review Station 12 Solve & Graph Problems Answers 1. 5 – x > x – 3 and –6x – 9 ≤3 + 6x 1. –1 ≤ x < 4 2. 3 + 3x < 3 – x < x + 7 2. –2 < x < 0 3. x – 5 ≥ 10x + 4 or 8x – 10 ≥3x – 10 3. x ≤ –1 or x ≥ 0 4. 9x + 9 ≥ 4x + 4 or x + 8 ≥ 2 + 4x 4. All Real Numbers 5. 9 + x < x + 3 or –8x – 5 < 7 – 10x 5. x < 6 Algebra 2 - Chapter 1 Review Station 13 Write an absolute value inequality for the graph shown Problems Answers 1. 1. | + 6| > 4 2. 2. | − 1| ≤ 7 3. 3. | − 5| > 11 4. 4. | + 1| ≤ 6 5. 5.| + 1.5| > 6.5