Solving Equations Test Review 24-25

Front

What is the equation to represent Scott's car bill if he charges $35 plus $7 per hour for a total of $63?

Back

7x + 35 = 63

Front

If Scott bought jeans for $35 and shirts for $7 each, how can we express the total cost if he spent $63?

Back

Let x be the number of shirts. The equation is 7x + 35 = 63.

Front

What does it mean when an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

How do you solve the equation ax - b = c for x?

Back

x = (c + b) / a

Front

What is the first step to solve the equation 5(2 + x) = 45 + 5x?

Back

Distribute the 5 on the left side: 10 + 5x = 45 + 5x.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term represents the fixed amount in the equation that does not change with the variable.

Front

How can you determine if an equation is linear?

Back

An equation is linear if it can be written in the form ax + b = c, where a, b, and c are constants.

Front

What is the process of isolating a variable in an equation?

Back

It involves rearranging the equation to get the variable on one side and the constants on the other.

Front

What does it mean to 'solve for x' in an equation?

Back

It means to find the value of x that makes the equation true.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.