One Step Equations Practice Test

An equation is two _______________ set ______ to each other.

• answers; beside

• expressions; equal

• division problems; not equal

• addition or subtraction problems; equal

Answer explanation

An equation consists of two expressions set equal to each other, meaning they represent the same value. The correct choice 'expressions; equal' accurately describes this fundamental concept in mathematics.

Which is the coefficient?

• 9

• x

• 5

• 24

Answer explanation

In algebra, the coefficient is the numerical factor in a term. Here, '5' is the coefficient of the variable 'x' in the expression, while '9', 'x', and '24' do not serve as coefficients in this context.

What is the variable in this equation?

• 5

• x

• +

• 24

Answer explanation

In the equation, the variable is represented by 'x'. It is the unknown value we are trying to solve for, while '5' and '24' are constants and '+' is an operator.

How many terms are in this equation?

• 1

• 2

• 3

• 4

Answer explanation

The equation has three distinct terms, which can be identified as separate components. Therefore, the correct answer is 3.

What are the constant(s)?

• 5

• 5 and 9

• 9

• 9 and 24

Answer explanation

The constants in the question are 9 and 24, as they are the values that remain unchanged in the context provided. Therefore, the correct answer is '9 and 24'.

What are the expression(s) in this equation?

Answer explanation

In the equation, expressions are the mathematical components that can include numbers, variables, and operators. Identifying these helps in understanding the structure and solving the equation.

Using the representations and the scale above, which could be placed on the right side of the scale to make it balanced?

• 1 glue stick

• 2 glue sticks

• 6 glue sticks

• 3 glue sticks

Answer explanation

To balance the scale, we need to match the weight on the left. Since 3 glue sticks equal the weight needed, placing 3 glue sticks on the right side will achieve balance.

Solve for x in the equation 5x = 45

• x = 40

• x = 7

• x = 9

• x = 50

Answer explanation

To solve for x in the equation 5x = 45, divide both sides by 5. This gives x = 45 / 5, which simplifies to x = 9. Therefore, the correct answer is x = 9.

Which of the following equations best represents the scale below?

• 1 + x = 3x

• 2x = 3

• x + 1 = 3

• x + 3 = 1

Answer explanation

The equation x + 1 = 3 correctly represents the scale, indicating that when 1 is added to x, the total equals 3. This aligns with the concept of balancing the scale.

• x = -3

• x = 3

• x = -48

• x = 48

Answer explanation

To solve -x/4 = 12, multiply both sides by -4: x = -48. Thus, the correct answer is x = -48.