Algebra 2 Chapter 3 Review. Find the slope of the line through the pair of points. 1. Graph the absolute value equation. 2. y = x â 2. |. |. Solve t...
Algebra 2 Chapter 3 Review Find the slope of the line through the pair of points. 1.
Graph the absolute value equation. 2. y = | x − 2 |
Solve the system using any method.
ÔÏÔÔ ÔÔÔ −2x − y + z = 7 ÔÔÔ 3. ÔÔÌÔ 3x − 2y − 2z = 4 ÔÔÔ ÔÔÔ 3x − z = −10 ÔÓ
ÏÔÔ ÔÔÔ −x + 2y + z = −6 ÔÔÔ Ô 4. ÔÌÔÔ z = −1 ÔÔÔ ÔÔÔ −x + 3y + 3z = −14 ÔÓ
ÔÏÔÔ Ô −2x + 2y = −11 5. ÔÔÌÔ ÔÔ −4x + 4y = −22 Ó
6. A group of 52 people attended a ball game. There were three times as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group.
7. Solve the systems of inequalities by graphing ÔÏÔÔ ÔÔ x ≥ −1 ÌÔÔ ÔÔ y > 3 Ó
8. Find the point-slope form of the equation of the line passing through the points (–6, –8) and (–5, –6).
Solve the equation. 9. 4| 4x + 3 | − 7 = 5
ÏÔÔ ÔÔ 7x + 5y = −16 10. ÔÌÔÔ ÔÔ 2x − 4y = −10 Ó
Solve the system by graphing. ÏÔÔ ÔÔ −5x − 3y = −1 11. ÔÌÔÔ ÔÔ 2x − y = −4 Ó
ÏÔÔ ÔÔÔ y ≥ −4x − 2 ÔÔÔ 12. ÌÔÔ ÔÔÔ y ≤ 1 x + 3 ÔÔÔ 4 Ó
Algebra 2 Chapter 3 Test S1 2011 Answer Section SHORT ANSWER 1. ANS: − 1 12 PTS: 1 DIF: L2 OBJ: 2-2.1 Graphing Linear Equations KEY: slope 2. ANS:
REF: 2-2 Linear Equations TOP: 2-2 Example 3
PTS: 1 DIF: L2 REF: 2-5 Absolute Value Functions and Graphs OBJ: 2-5.1 Graphing Absolute Value Functions STA: CA A2 1.0 TOP: 2-5 Example 1 KEY: absolute value 3. ANS: (–6, –3, –8) PTS: 1 DIF: L2 REF: 3-6 Systems With Three Variables OBJ: 3-6.2 Solving Three-Variable Systems by Substitution STA: CA A2 2.0 TOP: 3-6 Example 3 KEY: system with three variables | substitution method 4. ANS: (–7, –6, –1) PTS: 1 DIF: L2 REF: 3-6 Systems With Three Variables OBJ: 3-6.2 Solving Three-Variable Systems by Substitution STA: CA A2 2.0 TOP: 3-6 Example 3 KEY: system with three variables | substitution method 5. ANS: infinite solutions PTS: OBJ: TOP: KEY: 6. ANS:
1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.2 Solving Systems by Elimination STA: CA A2 2.0 3-2 Example 5 system of linear equations | solve by elimination | infinite solutions
ÔÏÔÔ ÔÔ a + c = 52 ; 13 adults, 39 children ÌÔÔ ÔÔ c = 3a Ó PTS: OBJ: TOP: KEY: 7. ANS:
1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 Solving Systems by Substitution STA: CA A2 2.0 3-2 Example 2 substitution method | system of linear equations | word problem | problem solving
PTS: 1 DIF: L2 REF: 3-3 Systems of Inequalities OBJ: 3-3.1 Solving Systems of Inequalities STA: CA A2 1.0 | CA A2 2.0 TOP: 3-3 Example 2 KEY: system of inequalities | graphing 8. ANS: y + 8 = 2(x + 6) PTS: 1 DIF: L2 OBJ: 2-2.2 Writing Equations of Lines KEY: point-slope form | ordered pair 9. ANS: 1 x = 0 or x = −1 2 PTS: 1 DIF: L2 OBJ: 1-5.1 Absolute Value Equations KEY: absolute value 10. ANS: (–3, 1) PTS: OBJ: TOP: KEY: 11. ANS:
REF: 2-2 Linear Equations TOP: 2-2 Example 5
REF: 1-5 Absolute Value Equations and Inequalities STA: CA A2 1.0 TOP: 1-5 Example 2
1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.2 Solving Systems by Elimination STA: CA A2 2.0 3-2 Example 4 system of linear equations | solve by elimination | equivalent systems
(–1, 2) PTS: 1 DIF: L2 OBJ: 3-1.1 Systems of Linear Equations TOP: 3-1 Example 1 KEY: 12. ANS:
REF: 3-1 Graphing Systems of Equations STA: CA A2 2.0 system of linear equations | graphing
PTS: 1 DIF: L2 REF: 3-3 Systems of Inequalities OBJ: 3-3.1 Solving Systems of Inequalities STA: CA A2 1.0 | CA A2 2.0 TOP: 3-3 Example 2 KEY: system of inequalities | graphing
