AnswersAG Q4 Keystone Algebra 1 Block 25-26 DDiamondEstimating Solutions of Systems

Estimating Solutions of Systems Answers

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The system of equations and y = –x + 3 is shown on the graph below. According to the graph, what is the solution to this system of equations?

Question illustration
A
(4, –1)
B
(–1, 4)
C
(4, 1)
D
(1, 4)
2
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The equations , , , and are shown on the graph below. Which system of equations has a solution of approximately (–0.6, 0.8)?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
3

The system of equations y = –2x + 1 and y = x + 5 is shown on the graph below. Which statement is true about the solution to the system of equations?

Question illustration
A
The x-value is between –1 and –2, and the y-value is between 3 and 4.
B
The x-value is between 3 and 4 , and the y-value is between –1 and –2.
C
The x-value is between 1 and 2, and the y-value is between –3 and –4.
D
The x-value is between –3 and –4, and the y-value is between 1 and 2.
4

The system of equations and is shown on the graph below. What is a reasonable estimate for the solution?

Question illustration
A
(1 and three-fourths, 2 and one-half)
Option A
B
(2 and one-half, 1 and three-fourths)
Option B
C
(1 and one-third, 2 and one-half)
Option C
D
(2 and one-half, 1 and one-third)
Option D
5

The equations , , , and are shown on the graph below. Which system of equations has a solution of approximately (1.8, –0.9)?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
6

The system of equations and is shown on the graph below. Which statement is true about the solution to the system of equations?

Question illustration
A
The x-value is between 2 and 3, and the y-value is between –4 and –5.
B
The x-value is between –4 and –5, and the y-value is between 2 and 3.
C
The x-value is between –2 and –3, and the y-value is between 4 and 5.
D
The x-value is between 4 and 5, and the y-value is between –2 and –3.
7

The system of equations and is shown on the graph below. What is a reasonable estimate for the solution?

Question illustration
A
(1, negative three-fourths)
Option A
B
(Negative three-fourths, 1)
Option B
C
(Negative 1, three-fourths)
Option C
D
(Three-fourths, negative 1)
Option D
8

The equations , , , and are shown on the graph below. Which is the approximate solution for the system of equations and ?

Question illustration
A
(–0.3, 2.1)
B
(–0.3, –2.1)
C
(0.9, –1.8)
D
(0.9, 1.8)
9

Which system of equations shows a solution of (–3.5, 4)?

A
On a coordinate plane, 2 lines intersect at (negative 3.5, 4).
Option A
B
On a coordinate plane, 2 lines intersect at (negative 3.5, negative 4).
Option B
C
On a coordinate plane, 2 lines intersect at (3.5, negative 4).
Option C
D
On a coordinate plane, 2 lines intersect at (3.5, 4).
Option D
10

The equations , , , and are shown on the graph below. Which is the approximate solution for the system of equations and ?

Question illustration
A
(–2.3, 0.5)
B
(–2.5, 1)
C
(–2.3, –0.5)
D
(–2.5, –1)

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