AnswersMathematics 8Exploring Systems of Linear Equations

Exploring Systems of Linear Equations — Quiz Answers

10 verified answers
1
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What is the solution to the system of equations?

A
open paren 4 comma negative 3 close paren
B
open paren negative 4 comma 3 close paren
C
open paren negative 3 comma 4 close paren
D
open paren 3 comma negative 4 close paren
2
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Which ordered pair is the solution to the system of linear equations negative 5 x plus y is equal to 26 and 2 x minus 7 y is equal to 16 ?

A
open paren negative 4 comma 6 close paren
B
open paren negative 4 comma negative 6 close paren
C
open paren negative 6 comma negative 4 close paren
D
open paren 6 comma negative 4 close paren
3

Which ordered pair is the solution to the system of linear equations y is equal to negative 7 x plus 2 and y is equal to 9 x minus 14 ?

A
open paren 5 comma negative 1 close paren
B
open paren negative 5 comma 1 close paren
C
open paren 1 comma negative 5 close paren
D
open paren negative 1 comma 5 close paren
4

The solution to a system of linear equations is open paren negative 3 comma negative 3 close paren Which system of linear equations has this point as its solution?

A
x minus 5 y is equal to negative 12 and 3 x plus 2 y is equal to 15
B
x minus 5 y is equal to negative 12 and 3 x plus 2 y is equal to negative 15
C
x minus 5 y is equal to 12 and 3 x plus 2 y is equal to 15
D
x minus 5 y is equal to 12 and 3 x plus 2 y is equal to negative 15
5

Tina wrote the equations 3 x minus y is equal to 9 and 4 x plus y is equal to 5 What can Tina conclude about the solution to this system of equations?

A
open paren negative 2 comma 3 close paren is a solution to the system of linear equations.
B
open paren negative 3 comma 2 close paren is a solution to the system of linear equations.
C
open paren 2 comma negative 3 close paren is a solution to the system of linear equations.
D
open paren 3 comma negative 2 close paren is a solution to the system of linear equations.
6

Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?

A
They intersect at two points.
B
They have the same slope.
C
They have the same y -intercept.
D
They intersect at one point.
7

Which ordered pair is the solution to the system of linear equations y is equal to 5 x plus 8 and y is equal to negative 4 x minus 1 ?

A
open paren negative 3 comma 1 close paren
B
open paren 3 comma negative 1 close paren
C
open paren negative 1 comma 3 close paren
D
open paren 1 comma negative 3 close paren
8

Which ordered pair is a solution to the system of linear equations 1 half x minus 3 fourths y is equal to 11 over 60 and 2 fifths x plus 1 sixth y is equal to 3 tenths ?

A
open paren 2 thirds comma 1 fifth close paren
B
open paren 1 fifth comma 2 thirds close paren
C
open paren 2 thirds comma negative 1 fifth close paren
D
open paren 1 fifth comma negative 2 thirds close paren
9

Which system of linear equations has the ordered pair open paren 4 comma negative 5 close paren as a solution?

A
5 x minus 6 y is equal to 49 and x plus 8 y is equal to negative 27
B
6 x minus y is equal to negative 29 and 8 x plus 3 y is equal to negative 17
C
2 x minus 5 y is equal to negative 30 and 7 x plus 4 y is equal to negative 19
D
3 x minus 2 y is equal to 22 and 2 x plus 9 y is equal to negative 37
10

Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is correct?

A
The system of equations does not have only one solution because the lines intersect at one point.
B
The system of equations has one solution because the lines intersect at one point.
C
The system of equations has one solution because the lines do not intersect at only one point.
D
The system of equations does not have only one solution because the lines do not intersect at only one point.

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