Algebra 1 Semester 1 Review 1 PDF

Name: ____________________ Date: _________ Semester 1 Review 1 Algebra 1 - Chewens Skill 1: Translate Expressions Skill 2: Simplify Numerical Expressions Skill 3: Evaluate Algebraic Expressions Skill 4: Simplify Algebraic Expressions Skill 5: Evaluate...

Name: ____________________ Date: _________ Semester 1 Review 1 Algebra 1 - Chewens Skill 1: Translate Expressions Skill 2: Simplify Numerical Expressions Skill 3: Evaluate Algebraic Expressions Skill 4: Simplify Algebraic Expressions Skill 5: Evaluate Absolute Value Expressions Skill 6: Solve Linear Equations Skill 7: Absolute Value Equations Skill 8: Solve Proportions Skill 9: Solve Literal Equations Skill 1: Translate Expressions Translate the following into verbal expressions. 2 4 ·5 16 − 4(𝑥) 6(𝑥 − 3) Translate the following into numeric expressions. Five times the sum of a number and four A number squared minus eight Twenty less than a three times a number Skill 2: Simplify Numerical Expressions Simplify each of the following expressions using the order of operations. 2 3 + (13 − 7) − 10 3(− 1 − 5) + 18 ÷ 9 5·2(1−3) 28 − 4[3 + (12 − 8)] 4 2 12 + 6(4 − 11) + 9 2 − 4(2) + 20 ÷ 10 Skill 3: Evaluate Algebraic Expressions Evaluate the following if m = -4, n = 0, p = 6 3𝑛 2 5𝑚 − 8𝑛 + 𝑝 5𝑝 𝑝 − 8𝑚 + 𝑝 Evaluate the following if x = 2, y = -7, z = 3 2 3𝑥𝑦 8𝑥 − 2𝑦 + 𝑧 3𝑧 + 𝑦 7𝑧 Skill 4: Simplify Algebraic Expressions Simplify each expression: Apply the Distributive Property: 2 2 2 10𝑥 + 9𝑥 + 2 − 14𝑥 − 8𝑥 5(3𝑚 − 𝑚 + 9) 3 2 2 2 8𝑝 − 4𝑝 + 10𝑝 − 4 + 18𝑝 + 10 7(2𝑛 − 6𝑛 + 2) Simplify each expression completely: − 9(3𝑥 + 5) + 3(12𝑥 + 1) 12(3𝑦 − 2) + 7(𝑦 − 6) Skill 5: Absolute Value Expressions Evaluate the following if c = 2, d = -6, e = -1 |𝑐 + 𝑑| − 7 |3𝑐 − 𝑑𝑒| |𝑑 − 𝑐| − 𝑐 Evaluate the following if x = 0, y = -2, z = -10 |𝑥 + 𝑧| − 7 |3𝑦 − 𝑥𝑧| |𝑧 − 𝑥| − 𝑦 Skill 6: Solving One - Two Step Equations  3 − 8 = 𝑛 + 11 − 4 𝑥=9 𝑛−3 𝑝 21 = 5 −7+ 6 = 18 𝑡 − (− 15) = 14 4 − 8𝑦 + 3 =− 12 Skill 7: Solving Multi-Step Equations − 7𝑥 + 3 =− 9(𝑥 + 5) 2(3𝑥 − 1) − 4𝑥 =− 4𝑥 + 6 2𝑥 + 6 = 5𝑥 − 12 3 1 4(2𝑥 − 1) = 3(2𝑥 + 8) 4 𝑥 − 10 = 5 − 3𝑥 − 10 = 2 (𝑥 + 4) Skill 8: Solving Absolute Value Equations  | − 3𝑥 − 1| = 4 1 | 2 𝑥 + 3| = 10 − 2|5𝑥 + 7| =− 4 5 | 6 𝑝 − 11| =− 19 3|4𝑥 + 8| − 11 = 1 3|𝑥−6| 4 = 12 Skill 9: Solving Proportions  𝑥 3 6 2 24 = 10 5 = 5𝑛 9 𝑘+6 𝑚 𝑚+7 8 = 6 = 8 9 𝑛−9 7 8 6 𝑛+5 = 4 5𝑥−4 = 𝑥+5 Skill 10: Literal Equations Solve 𝑎𝑥 + 𝑏𝑦 = 𝑐 for 𝑦 Solve 𝐴 = 𝑏ℎ for b. 2 Solve 𝑉 = 𝑙𝑤ℎ for h Solve 𝑃 = 2𝐿 + 2𝑊 for w. Solve 𝑦 = 𝑚𝑥 + 𝑏 for x. Solve 5𝑥𝑦 + 6 = 36 for y.