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Linear Equations and Functions Quiz

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#1

What is the slope-intercept form of a linear equation?

y = mx + b
Explanation

Standard form with slope and y-intercept

#2

What does the 'm' represent in the slope-intercept form of a linear equation?

slope
Explanation

Rate of change of the line

#3

What is the slope of a horizontal line?

0
Explanation

No change in y for any change in x

#4

In a linear function, what does the coefficient of the independent variable represent?

Slope
Explanation

Rate of change of the function

#5

Which of the following is the graph of a linear inequality in two variables?

A line
Explanation

Shaded area of satisfying points

#6

Which of the following is a solution to the equation 2x + 3 = 11?

x = 5
Explanation

Value that satisfies the equation

#7

What is the point-slope form of a linear equation?

y - y1 = m(x - x1)
Explanation

Formula using a point and slope

#8

What is the standard form of a linear equation?

ax + by = c
Explanation

General form of a linear equation

#9

Which of the following is the solution to the equation 3(x - 4) = 15?

x = 8
Explanation

Value that satisfies the equation

#10

What is the point of intersection of two lines on a graph?

Solution
Explanation

Common point for both lines

#11

Which of the following represents a vertical line in a graph?

x = -4
Explanation

Vertical lines have undefined slope

#12

What is the solution to the system of linear equations: 2x + 3y = 10 and 4x - y = 5?

(x = 2, y = 2)
Explanation

Intersection point of the two lines

#13

Which of the following represents a parallel line to the equation y = 3x + 2?

y = 3x - 2
Explanation

Has the same slope but different y-intercept

#14

Which of the following represents a perpendicular line to the equation y = 2x + 3?

y = -1/2x + 3
Explanation

Slope is negative reciprocal

#15

What is the solution to the system of linear equations: 3x - y = 7 and x + 2y = 5?

(x = 2, y = 1)
Explanation

Intersection point of the two lines

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