University:
Concordia University Wisconsin
Course:
MATH 1210 | Intermediate Algebra
Academic year:

2023
Views:

274

Pages:

8
Author:

ilikemyicons0y5

Systems of Linear Equations Lesson #8: Practice Test Numerical 1. Response Two students worked together to solve a system of equations which had integer solutions. Tara made a table of values for the first equation and Jorge made a table of values for the second equation. 1. The ordered pair (x, y) which satisfies the system of equations x-3y=8, x+4y=-13, is Tara Jorge -2-6 -3-2 0-2 -10 2 2 12 4 6 34 56 THEA Jorg 5 5 Using the students' results to determine the solution to the system, the value of x+y is 7. (Record your answer in the numerical response box from left to right) (3,4) 3+4=7 7 A. (-1.3) x-3y=8 (subtract) x+4y=-13 B. (3,-1) x-3y=8 -74-21 X-3(-3)-8 (C.) (-1,-3) y = -3 x+9=8 D. (3,1) x=-1 (-1,-3) 2. The number of solutions to the system of equations 6x-2y24, 5y=15x-64, is A zero B. one C. two D. infinite 6x-24-24 -2y=-bx124 5y=15x-64 y=3x- y=3x-12 parallel lines Numerical 2. Response Alyssa graphs the equations x-y-4 and x+2y=4. The y-coordinate, to the nearest hundredth, of the point of intersection is (Record your answer in the numerical response box from left to right) 2-4-4 x+4=y y=x+4 x+2y=4 2y=-x+4 y=x+2 2.67 graph: 12+4x=-1-33... x+2 y=2.66.... py agreement. 498 Systems of Linear Equations Lesson #8: Practice Test 3. Consider the following two systems of equations. 2 1 a) y=3x+1, y=2x-2 b) 4x+5y18, 2x+3y=1 3y=-2x+1 Solve the systems of equations using a graphing calculator and determine which one of the following statements is true. A. In system a), x+y= 29. X B. In system b), x+y= 40.5.x 1)x=-, y=-11 b) x=24.5, y=-16 C. One of the values of x is 42.5 more than the other. D. One of the values of y is 42.5 more than the other. 4. The system y=4x-8, xby+c, has an infinite number of solutions if A. b0.25 and c=-2 by = x-c B. b=0.25 and c= 2 for an infinite number of solutions the equations must be idemical 4 C. b0 and c= 0 D. b4 and c=-8 6= b=0.25 8 c8b C=8(0.25)=2 5. The graphs of y=ax+b and y=cx + d are parallel. The number of solutions to the system y=ax+b, y=cx+d is zero B. one C. two D. infinite 6. For which system of equations graphed on a grid is the point (-2,-1) a solution? A. x-2y=3, x+5y=-11 x B. 3x-3y-9, x-4y-6 x C. 2x-10y6, x+5y=-3 x x+y=-3, -2x+5y-1 replace x=-2, y=-1 in the left side of each equation to see which equation is satisfied by the point (-2,-1). A. (-2)-2(-1)=0x B. 3(-2)-3(-1)= -3 x C. 2(-2)-10(-1)=6 (-2)+5(-1)=-チメ D. (-2)+(-1)-3-2(-2)+5(-1)=-1 Systems of Linear Equations Lesson #8: Practice Test 499 7. When solving a system of equations, one of which is 4-32, a substitution which can be made is A. 1 (3+2) x= 3 2 B. 1 x=3(4y+6) 12(4)-12()=12(2) C. 1 x=(3y+24) 3x-4y=24 D 1 x=(4y+24) 3x=4y+24 X=(4+24) 8. In solving the system 3a2b14, 2a+b7 by elimination, an equation which arises could be A.-76-49 3a-26-14 29+b=7 (2) → 39-26-14 49+2b=14 (add) x+2y B. -b=7 79-28 C. Sa=21 a=4 D) 7a=28 9. If x+y=12 and x-y-2, then x+2y is equal to A. 10 x+y-12 (add) (B) 17 x-y=2 2x=14 (7)+y=12 y=5 =(7)+2(5) =17 C. 19 D. 34 x+y =12 10. If 3(x-2)+y=7 and 4x-3(y-1)16, then y is equal to A. 15 13 3x-6+y=7 3x+y = 13 3x+y=13 (24) 4x-3413 (3) B. 5 13 4x-3y+3=16 4x-34-13 12x+4y=52 (subtract) 12x-94-39 C.) 1 13y=13 D. 4

Systems of Linear Equations Practice Test

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