Exploring Linear Equations in One Variable

What does the addition property of equality allow you to do?

• Add different numbers to each side of an equation

• Add the same number to both sides of an equation

• Subtract the same number from both sides of an equation

• Multiply both sides of an equation by the same number

In the equation X - 5 = 3, what should you add to both sides to isolate X?

• -3

• -5

• 5

• 3

What does the multiplication property of equality allow you to do?

• Subtract the same number from both sides of an equation

• Multiply both sides of an equation by different numbers

• Multiply both sides of an equation by the same nonzero number

• Add different numbers to each side of an equation

To solve the equation 2/3 X = 8, what should you multiply both sides by?

• 2

• 3/2

• 2/3

• 1/2

In the equation 5 - 2x = 3x + 1, what should you add to both sides to start isolating the variable?

• 5

• -3x

• -1

• 2x

After adding -3x to both sides in the equation 5 - 2x = 3x + 1, what is the next step?

• Add 5 to both sides

• Add -5 to both sides

• Multiply both sides by -1/5

• Multiply both sides by 5

What is the least common denominator for the fractions 1/2, 1/4, and 1/3?

• 3

• 6

• 12

• 4

In the equation 1/2 X + 1/4 = 1/3 X + 5/4, what should you multiply both sides by to clear the fractions?

• 4

• 3

• 6

• 12

To clear the decimals in the equation 0.35X + 0.2 = 0.15X + 0.1, what should you multiply both sides by?

• 0.01

• 0.1

• 100

• 10

After clearing the decimals in the equation 0.35X + 0.2 = 0.15X + 0.1, what is the next step?

• Multiply both sides by 10

• Add 0.2 to both sides

• Subtract 0.1 from both sides

• Add -0.15X to both sides