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WorksheetsM2 Cat B Linear Equations
Total questions: 34
Worksheet time: 34mins
What is a linear equation?
An equation with variables raised to the power of two
An equation with only the first power of the unknown quantity
An equation with no variables
An equation with variables raised to the power of three
What is an identity in algebra?
An equation that is true for only one value of the variable
An equation that is true no matter what values are chosen
An equation that has no solution
An equation that is true for negative values only
Which of the following is an example of a linear equation?
x2 + 3 = 5
7t - 5 = 4t + 7
x3 + 2x = 5
x + y = xy
What must be done to both sides of an equation to preserve equality?
Add different values to each side
Multiply one side by a different number
Perform the same operation on both sides
Subtract different values from each side
What is the purpose of simplifying linear equations?
To make them more complex
To solve them more easily
To add more variables
To make them unsolvable
What is the value of x in the equation x + 3 = 5?
1
2
3
4
What is the definition of an arithmetical quantity?
A variable with no value
A definite value, such as 93 or 3.77
A value that changes with variables
A negative number
What is the main characteristic of linear equations?
They contain variables raised to the power of two
They contain only the first power of the unknown quantity
They have no solutions
They are always identities
What operation can be used to simplify linear equations?
Adding different values to each side
Subtracting, multiplying, or dividing the same quantity from each side
Multiplying one side by a different number
Adding variables to each side
What does the left-hand side of an equation represent?
A different value than the right-hand side
The same value as the right-hand side
A variable only
A constant only
What is the opposite of multiplication in solving equations?
Addition
Subtraction
Division
Exponentiation
What should you do to isolate the variable in an equation?
Add the variable to both sides
Subtract the variable from both sides
Manipulate/rearrange the equation until the variable is on its own on one side of the equals sign
Multiply the variable by zero
What is the result of solving the equation
x - 4 = 8
x = 4
x = 8
x = 12
x = 16
What is the opposite of division in solving equations?
Addition
Subtraction
Multiplication
Exponentiation
Find the value of x.
2x + 3 = 11
x = 4
x = 7
x = 5
x = 2
Which of the following is not a property of linear equations?
They have a constant rate of change
They can be represented by a straight line on a graph
They have at most one solution
They contain variables raised to the power of two
What is the solution to the equation 3x = 9?
x = 1
x = 2
x = 3
x = 4
What is the first step in solving the equation 2x + 5 = 15?
Subtract 5 from both sides
Add 5 to both sides
Multiply both sides by 2
Divide both sides by 2
Which of the following represents a linear equation?
y = 3x + 2
y = x2 + 3
y = 2x3 - 5
y = 4/x
What is the value of x in the equation 4x - 7 = 9?
x = 3
x = 4
x = 2
x = 5
What is the value of x in the equation 5x + 2 = 17?
x = 4
x = 5
x = 6
x = 3
Which of the following is not a linear equation?
x2 + 3x = 9
2x + 3 = 7
y = 4x - 5
3x - 2 = 0
What is the first step in solving the equation 3x - 4 = 11?
Divide both sides by 3
Subtract 4 from both sides
Multiply both sides by 3
Add 4 to both sides
What is the slope/gradient of the linear equation y = 2x + 3?
0
-2
3
2
Which of the following equations is equivalent to 4x - 8 = 0?
x = 2
x = -4
x = -2
x = 4
What is the y-intercept of the equation y = -3x + 5?
-5
3
5
-3
What is the value of x in the equation 2x - 5 = 9?
x = 7
x = 6
x = 5
x = 8
Which of the following equations is equivalent to 3x + 4 = 10?
x = 3
x = 5
x = 4
x = 2
What is the first step in solving the equation 4x + 7 = 19?
Divide both sides by 4
Add 7 to both sides
Multiply both sides by 4
Subtract 7 from both sides
What is the solution to the equation 7x - 14 = 0?
x = 1
x = 2
x = -2
x = 0
What is the y-intercept of the equation y = 4x - 7?
7
4
-4
-7
What is the solution to the equation 4x - 8 = 0?
x = 2
x = 4
x = -2
x = 0
Which of the following represents a linear equation?
y = x2 + 2x + 1
y = 3x + 2
y = 2x2 - 3x + 4
y = x3 - x
What is the first step in solving the equation 3x - 9 = 12?
Add 9 to both sides
Subtract 9 from both sides
Multiply both sides by 3
Divide both sides by 3
