MATH BOWL PRACTICE 1

Front

What is the formula to calculate the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

Find the slope of the line that passes through the points (-3, -4) and (7, 6).

Back

1

Front

What is the product of (3x + 2)(2x + 4)?

Back

6x² + 16x + 8

Front

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

Back

9x - y = -5

Front

If Olivia completed 85% of the Math questions and has 6 questions left, how do you find the total number of questions?

Back

Let total questions be x. Then, 0.85x = x - 6, solving gives x = 40.

Front

What are the slope (m) and y-intercept (b) of the equation y = 2x - 4?

Back

m = 2 and b = -4

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert the slope-intercept form (y = mx + b) to standard form?

Back

Rearrange to Ax + By = C.

Front

What does the y-intercept represent in a linear equation?

Back

The point where the line crosses the y-axis (x=0).

Front

What is the significance of a slope of 0 in a linear equation?

Back

The line is horizontal, indicating no change in y as x changes.