Solving One-Variable Equations with Systems

Question 1

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

Revolt · Accepted Answer

the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7

Question 2

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

Revolt · Accepted Answer

2

Question 3

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

Revolt · Accepted Answer

mc004-2.jpg

Question 4

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?

Revolt · Accepted Answer

The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no real solutions.

Question 5

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

Revolt · Accepted Answer

the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Question 6

Fran graphs the equations and . Her graph is shown below. Which value is a solution of ?

Revolt · Accepted Answer

mc010-5.jpg

Question 7

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

Revolt · Accepted Answer

mc018-4.jpg

Question 8

What are the two solutions of 2x2 = –x2 – 5x – 1?

Revolt · Accepted Answer

the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1

Question 9

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

Revolt · Accepted Answer

–4 and 2

Question 10

Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?

Revolt · Accepted Answer

0 and 2

Solving One-Variable Equations with Systems Answers

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