Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you solve the equation 2x + 6 = 30?

Back

To solve for x, subtract 6 from both sides to get 2x = 24, then divide by 2 to find x = 12.

Front

What is the solution to the inequality -3x + 4 ≥ -7?

Back

To solve, subtract 4 from both sides to get -3x ≥ -11, then divide by -3 (remember to flip the inequality) to find x ≤ \frac{11}{3}.

Front

What does the variable 'c' represent in the equation c = 12.50s - 25?

Back

In this equation, 'c' represents the total cost after applying a $25 discount on the total cost of 's' shirts, each costing $12.50.

Front

How do you find the total cost C in the equation C = 55h + p?

Back

To find the total cost C, multiply the number of hours h by the hourly rate of $55, then add the cost of parts p.

Front

What is the first step in solving the equation 7h - 5 = 9?

Back

The first step is to add 5 to both sides to isolate the term with h, resulting in 7h = 14.

Front

What is the value of h if 7h - 5 = 9?

Back

After solving, h = 2.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 3x + 5 ≤ 8?

Back

To solve, subtract 5 from both sides to get 3x ≤ 3, then divide by 3 to find x ≤ 1.