Algebra 1 Mathematician: ________________________________ Unit 4 Solve Systems of Linear Equations Period:___________ Unit 4 Test Review Target 4.1: Solve a system of linear equations graphically/numerically Directions: Graph the system of linear equations. After solving the system, what is the sum of the x- and y- coordinates of the solution? 1) 2) 3) Solution: ______________ Solution: ______________ Solution: ______________ Sum: ______________ Sum: ______________ Sum: ______________ 4) Describe the types of solutions that a system of linear 5) Describe the graph of a system of linear equations if the equations can have. solution is solution.” “no Directions: Given that one of the lines in the system of linear equations is , choose the equation that would give the indicated solution. 6) Infinitely many solutions 7) One solution A) A) B) B) C) C) Directions: Choose the appropriate graph(s) to answer Questions 8-10. Choose all that apply. (d) Infinitely many (e) Not enough (a) Zero solutions (b) Exactly one solution (c) Two solutions solutions information 8) A B C D E Line 1: y-intercept of 7 and decreasing Line 2: y-intercept of -6 and decreasing 9) A B C D E Line 3: positive and contains point (-1, 3) Line 4: 10) A B C D E Line 5: slope of -2 and contains point (2, 4) Line 6: Target 4.2: Solve a system of linear equations by substitution 11) Which equation would you use as the substitute in 12) Which equation would you use as the substitute in the following system of linear equations? the following system of linear equations? Directions: Solve the following systems by substitution. 13) 14) 15)
Algebra 1 Mathematician: ________________________________ Unit 4 Solve Systems of Linear Equations Period:___________ Unit 4 Test Review Target 4.1: Solve a system of linear equations graphically/numerically Directions: Graph the system of linear equations. After solving the system, what is the sum of the x- and y- coordinates of the solution? 1) Solution: ______________ Sum: ______________ 2) Solution: ______________ Sum: ______________ 3) Solution: ______________ Sum: ______________ 4) Describe the types of solutions that a system of linear equations can have. 5) Describe the graph of a system of linear equations if the solution is “no solution.” Directions: Given that one of the lines in the system of linear equations is , choose the equation that would give the indicated solution. 6) Infinitely many solutions A) B) C) 7) One solution A) B) C) Directions: Choose the appropriate graph(s) to answer Questions 8-10. Choose all that apply. (a) Zero solutions (b) Exactly one solution (c) Two solutions (d) Infinitely many solutions (e) Not enough information 8) A B C D E Line 1: y-intercept of 7 and decreasing Line 2: y-intercept of -6 and decreasing 9) A B C D E Line 3: positive and contains point (-1, 3) Line 4: 10) A B C D E Line 5: slope of -2 and contains point (2, 4) Line 6: Target 4.2: Solve a system of linear equations by substitution 11) Which equation would you use as the substitute in the following system of linear equations? 12) Which equation would you use as the substitute in the following system of linear equations? Directions: Solve the following systems by substitution. 13) 14) 15)
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