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Linear equations Quiz for Grade 9

10 math questions on linear equations with answers, written for Grade 9. Use it as it is, change any question, print it with an answer key, or give it online and let it grade itself.

1.
What is the slope of the line represented by the equation y = 3x + 5? (Multiple choice)
  1. 3
  2. 8
  3. -3
  4. 5
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3

The coefficient of x in y = mx + b is the slope, which is 3.
2.
Which of the following equations is linear? (Multiple choice)
  1. y = √x + 2
  2. y = 1/x + 4
  3. y = x^2 + 3
  4. y = 2x + 1
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y = 2x + 1

A linear equation has variables to the first power only and no roots or fractions.
3.
The graph of a linear equation is always a straight line. (True or false)
  1. True
  2. False
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True

By definition, linear equations graph as straight lines.
4.
In the equation y = mx + b, the letter 'b' represents the _____ of the line. (Fill in the blank)
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y-intercept

The 'b' value is the point where the line crosses the y-axis.
5.
Name the property used when you add the same number to both sides of an equation to keep it balanced. (Identification)
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Addition property of equality

This property states that adding the same value to both sides does not change the equality.
6.
If the equation 2x - 4 = 10 is solved, what is the value of x? (Multiple choice)
  1. -3
  2. 3
  3. -7
  4. 7
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7

Adding 4 to both sides gives 2x = 14, then dividing by 2 gives x = 7.
7.
The equation 0 = 0 is an example of an identity in linear equations. (True or false)
  1. True
  2. False
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True

An identity is true for all values of the variable, like 0=0.
8.
Which of the following is the solution to the equation 5x + 3 = 18? (Multiple choice)
  1. x = 2
  2. x = 5
  3. x = 4
  4. x = 3
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x = 3

Subtract 3 from both sides to get 5x = 15, then divide by 5 to get x = 3.
9.
Match each term with its meaning. (Matching type)
1. Slope
A. Value that makes the equation true
2. Y-intercept
B. Point where the line crosses the y-axis
3. Linear equation
C. Rate of change of the line
4. Solution
D. Equation of a straight line
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1 = Rate of change of the line; 2 = Point where the line crosses the y-axis; 3 = Equation of a straight line; 4 = Value that makes the equation true

These are key terms related to linear equations and their definitions.
10.
Give three methods to solve a linear equation. (Enumeration)
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Graphing, Substitution, Elimination

These are common methods used to find solutions to linear equations.