Solving Linear Equations for Year 9 and 10

What is the first step in solving the equation 5a - 2 = 28?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 2 from both sides

• Add 2 to both sides

After isolating the variable 'a' in the equation 5a - 2 = 28, what is the value of 'a'?

• 6

• 5

• 4

• 7

In the equation 9x - 7 = 3x + 11, what is the first step to isolate the variable terms?

• Subtract 3x from both sides

• Add 7 to both sides

• Add 3x to both sides

• Subtract 7 from both sides

What is the value of 'x' in the equation 9x - 7 = 3x + 11?

• 4

• 1

• 3

• 2

When expanding the brackets in the equation 6(x + 2) = 8(x + 1), what is the resulting equation?

• 6x + 2 = 8x + 8

• 6x + 12 = 8x + 8

• 6x + 12 = 8x + 1

• 6x + 2 = 8x + 1

What is the value of 'x' in the equation 6(x + 2) = 8(x + 1)?

• 1

• 4

• 2

• 3

What common denominator is used to solve the equation x/2 + x/3 = 10?

• 6

• 5

• 3

• 2

What is the simplified form of the equation x/2 + x/3 = 10 after multiplying by the common denominator?

• 6x = 30

• 6x = 60

• 5x = 30

• 5x = 60

In the equation (10 * 3) - 2(5x + 4) = 5x, what is the first step after distributing the multiplication?

• 30 - 10x - 8 = 5x

• 30 - 10x + 8 = 5x

• 30 + 10x + 8 = 5x

• 30 + 10x - 8 = 5x

What is the value of 'x' in the equation (10 * 3) - 2(5x + 4) = 5x?

• 1

• 2

• 4

• 3