Solving Equations Unit Review

An operation is a...

• a fixed set of rules

• a type of mathematical function

• mathematical calculation. Addition, subtraction, multiplication, or division.

Answer explanation

An operation refers to a mathematical calculation, which includes addition, subtraction, multiplication, or division. This definition aligns with the correct choice, distinguishing it from a fixed set of rules or a type of function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which one of the terms is a constant? (A number on it's own)

• -2x

• x

• 5

Answer explanation

A constant is a number on its own, without any variables. In this case, 5 is a constant, while -2x and x are not constants because they include the variable x.

Tags

CCSS.6.EE.A.2B

• 3

• 0.5

Answer explanation

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For \( \frac{2}{3} \), the reciprocal is \( \frac{3}{2} \), which is the correct answer.

The number in front of a variable is called the...

• coefficient

• number

• operation

Answer explanation

The number in front of a variable is called the coefficient. It indicates how many units of the variable are being considered, making 'coefficient' the correct term, while 'number' and 'operation' do not specifically refer to this concept.

Tags

CCSS.6.EE.A.2B

An unknown quantity in an expression or equation represented by a letter is called...

• coefficient

• variable

• constant

Answer explanation

An unknown quantity in an expression or equation represented by a letter is called a variable. Unlike coefficients and constants, which have fixed values, variables can change and represent different numbers.

Tags

CCSS.6.EE.A.2B

One or more numbers or variables joined by one or more operations is called an...

• formula

• calculation

• expression

Answer explanation

An expression is defined as one or more numbers or variables combined using operations. This distinguishes it from a formula, which typically represents a specific relationship, and a calculation, which involves evaluating an expression.

Tags

CCSS.6.EE.A.2B

An expression with an equal sign is called an...

• inequality

• formula

• equation

Answer explanation

An expression with an equal sign indicates that two values are the same, which defines an equation. In contrast, inequalities express a relationship where values are not necessarily equal.

To solve the equation so the variable is BY ITSELF on one side of the equal sign means..

• Add the variable to both sides of the equation.

• Isolate

• Multiply both sides by the same number.

Answer explanation

To solve the equation and have the variable by itself, you need to 'isolate' it. This means performing operations to get the variable on one side of the equation, separate from other terms.

Tags

CCSS.6.EE.B.7

Inverse operation means...

• The OPPOSITE operation

• An operation that adds to the result of another operation.

• An operation that multiplies the result of another operation.

Answer explanation

Inverse operation refers to the OPPOSITE operation, such as addition and subtraction or multiplication and division. This means that to undo an operation, you perform its inverse.

Tags

CCSS.HSA.REI.A.1

When we turn a sentence into a math problem that we can solve...

• translate

• transform

• magic

Answer explanation

The correct choice is 'translate' because it refers to converting a sentence into a mathematical expression, making it understandable and solvable in a mathematical context.