'22 Midterm Review Pre-Algebra

Front

What is the equation representing Kylie's car bill if Scott charges $35 for each car plus $7 per hour and the total bill is $63?

Back

Front

What does it mean if the equation 2(x + 5) = 2x + 5 has no solution?

Back

It means that the equation is an identity that is always false, indicating that there are no values of x that satisfy it.

Front

Translate the inequality: 'A number is less than or equal to 4.'

Back

Front

What is the solution to the inequality 9x - 2 > -65?

Back

x > -7.

Front

Translate the inequality: '18 less than the quotient of a number and -5 is at most -2.'

Back

Front

What is the meaning of the term 'solution set' in algebra?

Back

The solution set is the set of all values that satisfy a given equation or inequality.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values of the variable that satisfy the equation, often due to the equation being an identity.

Front

What is the first step in solving the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to isolate the term with x.

Front

How do you graph the inequality 9x - 2 > -65?

Back

First, solve for x to get x > -7, then graph a number line with an open circle at -7 and shade to the right.