Unit 4: One Step Equations with Rational Numbers

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the same operation on both sides of the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you solve the equation \( \frac{1}{3}a = \frac{7}{9} \)?

Back

Multiply both sides by 3 to isolate 'a': \( a = \frac{7}{9} \times 3 = \frac{7}{3} \).

Front

What is the first step to solve the equation \( x - 2.6 = -4.6 \)?

Back

Add 2.6 to both sides of the equation to isolate 'x': \( x = -4.6 + 2.6 \).

Front

How can you represent a situation with an equation?

Back

You can represent a situation with an equation by identifying the quantities involved and expressing their relationships using variables and constants.

Front

What is the equation to find how much money Cicely received if she had $22.50 and now has $32?

Back

The equation is \( x + 22.50 = 32 \), where 'x' is the amount of money received.

Front

How do you determine the amount Andrew needs to save for an iPOD costing $145 if he has saved $55?

Back

The equation is \( x + 55 = 145 \), where 'x' is the amount he still needs to save.

Front

What is the equation to find how many rolls of masking tape Emma can buy with $5.75 if each roll costs $1.15?

Back

The equation is \( 1.15x = 5.75 \), where 'x' is the number of rolls.