AnswersCommon Core Algebra I A-ICSolving One-Variable Inequalities

Solving Systems of Linear Equations: Graphing Answers

10 verified answers1 views
3

How many solutions does this linear system have?y = 2x – 5 –8x – 4y = –20

A
one solution: (–2.5, 0)
B
one solution: (2.5, 0)
C
no solution
D
infinite number of solutions
5

What is the solution to the system of equations?2x – y = 7y = 2x + 3

A
(2, 3)
B
(2, 7)
C
no solution
D
infinite number of solutions
7

y=–x + 4x + 2y=–8

Question illustration
A
one solution: (8, 0)
B
one solution: (0, 8)
C
no solution
D
infinite number of solutions
11

What value of b will make the system of equations have an infinite number of solutions?y = -2x + b 4x + 2y = 8

A
2
B
8
C
4
D
-4
12

What value of b will cause the system to have an infinite number of solutions?

Question illustration
A
-6
B
-3
C
3
D
6
13

A coordinate grid with a line labeled y equals StartFraction 2 over 5 EndFraction x minus 5 passing through the points (negative 5, negative 7) and (0, negative 5)

Question illustration
A
x – y =
Option A
B
x – y =
Option B
C
x – y =
Option C
D
x – y =
Option D
14

Billy graphed the system of linear equations to find an approximate solution.y = x + y = x – 3Which points are possible approximations for this system? Select two options.

Question illustration
A
(1.9, 2.5)
B
(2.2, –1.4)
C
(2.2, –1.35)
D
(1.9, 2.2)
E
(1.9, 1.5)
15

y=–x + 4x + 2y=–8

Question illustration
A
one solution: (8, 0)
B
one solution: (0, 8)
C
no solution
D
infinite number of solutions
16

A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2)

Question illustration
A
(–3, 0)
B
(–3, 3)
C
(0, 2)
D
(3, 1)
17

A coordinate grid with one line labeled y equals 3 x plus StartFraction 3 over 4 EndFraction. The line passes through points at (negative 1, negative 2) and (0, 1).

Question illustration
A
–6x + y =
Option A
B
6x + y =
Option B
C
–6x + 2y =
Option C
D
6x + 2y =
Option D
18

How many solutions does this linear system have?y = 2x – 5 –8x – 4y = –20

A
one solution: (–2.5, 0)
B
one solution: (2.5, 0)
C
no solution
D
infinite number of solutions
19

What is the solution to the system of equations?2x – y = 7y = 2x + 3

A
(2, 3)
B
(2, 7)
C
no solution
D
infinite number of solutions
20

Which values of m and b will create a system of equations with no solution? Select two options.y = mx + b y = –2x + m = –3 and b = m = –2 and b = m = 2 and b = m = and b = m = -2 and b =

Question illustration
A
m = –3 and b =
Option A
B
m = –2 and b =
Option B
C
m = 2 and b =
Option C
D
m = and b =
Option D
E
m = -2 and b =
Option E

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