AnswersINMT3 Integrated Math 3 Sem 1 26-27Solving One-Variable Equations with Systems

Solving One-Variable Equations with Systems Answers

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Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported by the graph?

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A
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no real solutions.
B
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has one real solution.
C
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has two real solutions.
D
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has three real solutions.
2
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Which graph can be used to find the solution(s) to x2 – 1 = x + 1?

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Option A
B
Option
Option B
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Option
Option C
D
Option
Option D
3

Which graph can be used to find the solution(s) to x2 – 1 = 3?

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Option A
B
Option
Option B
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Option
Option C
D
Option
Option D
4

Which graph can be used to find the solution(s) to x2 – 4x + 4 = 2x + 1 + x2?

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Option A
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Option B
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Option C
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Option D
5

Michael graphs the equations and y = x + 1 to solve the equation . His graph is shown below. What are the solution(s) of ?

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A
–1 and 8
B
1 and 4
C
2
D
3
6

Vivek graphs the equations and to solve the equation . His graph is shown below. What are the solutions of ?

Question illustration
A
–4 and 2
B
–4 and 1
C
0 and 4
D
1 and 4
7

What is the solution of 3x + 5 = 2x – 7?

A
the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7
B
the x-coordinates of the x-intercepts of the lines y = 3x + 5 and y = 2x – 7
C
the y-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7
D
the y-coordinates of the y-intercepts of the lines y = 3x + 5 and y = 2x – 7
8

What are the two solutions of x2 – 2x – 4 = –3x + 9?

A
the y-coordinates of the y-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
B
the x-coordinates of the x-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
C
the y-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
D
the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
9

Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below.What are the solutions of –x2 + 4x = x – 4?

Question illustration
A
–5 and 0
B
–5 and –1
C
–1 and 4
D
0 and 4
10

Which system of equations can be graphed to find the solution(s) to ?

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Option A
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Option B
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Option
Option C
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Option
Option D

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