Solving One-Step Equations and Verifying Solutions

What is an equation?

• A mathematical statement that shows the equality of two expressions

• A collection of numbers and variables without an equal sign

• A mathematical operation involving addition or subtraction

• A formula used to calculate the area of a shape

What is the purpose of using inverse operations in solving equations?

• To isolate the variable on one side of the equation

• To multiply the constants

• To eliminate the variable from the equation

• To simplify the equation further

What is the first step in verifying the solution of an equation?

• Multiply the equation by the solution

• Replace the variable with the solution in the equation

• Subtract the solution from the equation

• Divide the equation by the solution

If you have an equation 'x + 8 = -22', what operation would you use to solve for x?

• Subtraction

• Multiplication

• Division

• Addition

How do you solve an equation with a fraction coefficient?

• By multiplying both sides by the reciprocal

• By dividing both sides by the reciprocal

• By subtracting the reciprocal from both sides

• By adding the reciprocal to both sides

In the equation '12x = 108', what operation is used to isolate x?

• Multiplication

• Addition

• Division

• Subtraction

If 'x - 7.6 = 1.4', what is the value of x?

• 5.4

• 9

• 6.8

• 8.2

How much money does Alex have if Michael has $78, which is $20 more than Alex?

• $20

• $58

• $98

• $78

What is the cost of each box of Girl Scout cookies if Travis bought 5 boxes for a total of $25.50?

• $5.10

• $5.50

• $5.00

• $4.90

What is the solution to the equation '3x = -9'?

• -3

• 6

• -6

• 3