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## Graphs to Linear Equations - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=1, Mode=simple

Write the equation that represents this line. Examples: y=3x/4, x=2, y=1, y=2x

 1.   Equation: 2.   Equation:

### Complexity=1, Mode=y=mx+b

Write the equation in y = mx + b format.

 1.   Equation: 2.   Equation:

### Complexity=2, Mode=y=mx+b

Write the equation in y = mx + b format.

 1.   Equation: 2.   Equation:

### Complexity=1, Mode=simple

Write the equation that represents this line. Examples: y=3x/4, x=2, y=1, y=2x

1

Equation:
Solution
The slope is 1/1
2

Equation:
Solution
Vertical lines have infinite slope, and are expressed in the form x=[x-intercept].

### Complexity=1, Mode=y=mx+b

Write the equation in y = mx + b format.

1

Equation:
Solution
The slope is 1
The y intercept is -1
Plugging this into y=mx+b results in y = x - 1
2

Equation:
Solution
The slope is 1
The y intercept is 5
Plugging this into y=mx+b results in y = x + 5

### Complexity=2, Mode=y=mx+b

Write the equation in y = mx + b format.

1

Equation:
Solution
The slope is 4/3
The y intercept is 4
Plugging this into y=mx+b results in