NY Regents Algebra I Systems of Linear Equations — practice questions
49 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice NY Regents Algebra I Systems of Linear Equations in the app →What is formed when two or more linear equations are grouped together?What is a solution of a system of two linear equations?Is the ordered pair (2, -1) a solution to the system 3x - y = 7 and x - 2y = 4?Is the ordered pair (3, 2) a solution to the system 3x - y = 7 and x - 2y = 4?Is the ordered pair (-4, -3) a solution to the system x - y = -1 and 2x - y = -5?In the four-step method for solving a system of linear equations by graphing, what is done immediately after gSolve the system by graphing: y = 2x + 1 and y = 4x - 1.Solve the system by graphing: 3x + y = -1 and 2x + y = 0.Solve the system by graphing: x + y = 2 and x - y = 4.Solve the system by graphing: y = 6 and 2x + 3y = 12.Solve the system by graphing: y = (1/2)x - 3 and x - 2y = 4.Solve the system by graphing: y = 2x - 3 and -6x + 3y = -9.What are coincident lines?What is a consistent system of equations?Two equations in a system are called dependent when what is true?Without graphing, classify the system y = 3x - 1 and 6x - 2y = 12.Without graphing, classify the system 2x + y = -3 and x - 5y = 5.Without graphing, classify the system 3x - 2y = 4 and y = (3/2)x - 2.Sondra is making 10 quarts of punch from fruit juice and club soda. The quarts of fruit juice equal 4 times thIn the six-step method for solving a system of equations by substitution, what is the first step?Solve by substitution: 2x + y = 7 and x - 2y = 6.Solve by substitution: x + y = -1 and y = x + 5.Solve by substitution: 3x + y = 5 and 2x + 4y = -10.Solve by substitution: x - 2y = -2 and 3x + 2y = 34.Solve by substitution: y = -2x + 5 and y = (1/2)x.Solve by substitution: 4x + 2y = 4 and 6x - y = 8.Solve by substitution: 4x - 3y = 6 and 15y - 20x = -30.Solve by substitution: 5x - 2y = -10 and y = (5/2)x.The sum of two numbers is zero. One number is nine less than the other. Find the numbers.The perimeter of a rectangle is 88. The length is five more than twice the width. Find the length and the widtThe Elimination Method for solving a system of equations is based on an extension of which property?In the seven-step method for solving a system of equations by elimination, what is the first step?Adding the equations 3x + y = 5 and 2x - y = 0 together eliminates y. What is the resulting solution?Solve by elimination: x + y = 10 and x - y = 12.Solve by elimination: 3x - 2y = -2 and 5x - 6y = 10.Solve by elimination: 4x - 3y = 9 and 7x + 2y = -6.Solve by elimination: x + (1/2)y = 6 and (3/2)x + (2/3)y = 17/2.Solve by elimination: 3x + 4y = 12 and y = 3 - (3/4)x.Solve by elimination: -6x + 15y = 10 and 2x - 5y = -5.For the system 3x + 8y = 40 and 7x - 4y = -32, which method is more convenient, and why?For the system 5x + 6y = 12 and y = (2/3)x - 1, which method is more convenient, and why?The sum of two numbers is 39. Their difference is 9. Find the numbers.Joe had one medium fries and two small sodas for 620 calories on Monday, and two medium fries and one small soIn the seven-step Problem Solving Strategy for Systems of Linear Equations, what is Step 4?Devon is 26 years older than his son Cooper. The sum of their ages is 50. Find their ages.A married couple together earns $110,000 a year. The wife earns $16,000 less than twice what her husband earnsWhen Jenna spent 10 minutes on the elliptical and 20 minutes on circuit training, she burned 278 calories. WheThe sum of two numbers is 10. One number is 4 less than the other. Find the numbers.The perimeter of a rectangle is 40. The length is 4 more than the width. Find the length and width.