reasoning w/linear equations

Question 1

What is the standard form of a linear equation?

Answer 1

Ax + By = C, where A, B, and C are constants.

Question 2

True or False: The graph of a linear equation is always a straight line.

Answer 2

True

Question 3

Fill in the blank: A linear equation has a degree of ____.

Answer 3

1

Question 4

What does the slope-intercept form of a linear equation look like?

Answer 4

y = mx + b, where m is the slope and b is the y-intercept.

Question 5

Multiple Choice: What is the slope of the line represented by the equation y = 3x + 2?

Answer 5

3

Question 6

What is the y-intercept of the line given by the equation y = -2x + 5?

Answer 6

5

Question 7

True or False: Two linear equations can intersect at more than one point.

Answer 7

False

Question 8

What is the solution to the linear equation 2x + 3 = 7?

Answer 8

x = 2

Question 9

Fill in the blank: The point where a line crosses the x-axis is called the ____.

Answer 9

x-intercept

Question 10

Multiple Choice: Which of the following represents a linear equation?

Answer 10

y = 4x + 1

Question 11

3(x+1)-x = 9

Answer 11

All 3 of those statements in the first flashcard’s image are equivalent. All of the steps in this side of the flashcard’s image involve equivalence preserving.

Question 12

How would we manipulate this equation (5x=6x) to maintain its truth and isolation the variable x ?

Answer 12