
Linear Equations in the Real World
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Mathematics
8th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How can you graph a linear equation?
Plot the y-intercept on the y-axis and use the slope to find another point, then draw a straight line through the points.
Draw a curve that connects the x-intercept and y-intercept.
Use a ruler to draw a vertical line at the y-intercept.
Plot random points on the graph and connect them with a line.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of the coefficients in a linear equation?
Coefficients indicate the relationship between the variables; they show how much y changes for a unit change in x.
Coefficients are used to determine the slope of the line only.
Coefficients represent the y-intercept of the equation.
Coefficients have no significance in a linear equation.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a linear equation?
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
A linear equation is an equation that represents a curve when graphed.
A linear equation is an equation that has no solutions.
A linear equation is an equation that can only be written in the form y = b. It has no slope.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does the slope (m) represent in a linear equation?
The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x).
The slope (m) indicates the y-intercept of the line.
The slope (m) represents the maximum value of the dependent variable (y).
The slope (m) shows the distance between two points on the line.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does the y-intercept (b) represent in a linear equation?
The value of y when x is 0, representing the starting point of the line on the y-axis.
The slope of the line, indicating how steep it is.
The point where the line crosses the x-axis.
The average value of y for all x values.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the relationship between linear equations and real-world problems?
Linear equations can model real-world situations where there is a constant rate of change, such as costs, earnings, and distances.
Linear equations are only applicable in theoretical mathematics and have no real-world applications.
Linear equations can only represent static situations without any change over time.
Linear equations are used exclusively in physics and have no relevance to economics or social sciences.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you write the equation of a line given a slope and a y-intercept?
y = mx + b, where m is the slope and b is the y-intercept
y = b + mx, where b is the y-intercept and m is the slope
y = mx^2 + b, where m is the slope and b is the y-intercept
y = b - mx, where b is the y-intercept and m is the slope
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