Solve equations and inequalities

Front

What does the equation 18 + m = 45 represent in a real-world context?

Back

It represents a situation where Josh had 18 pencils and received some more (m) for Halloween, resulting in a total of 45 pencils.

Front

How do you solve the equation 2x - 3 = 1?

Back

Add 3 to both sides to get 2x = 4, then divide by 2 to find x = 2.

Front

What is the equation that represents Penelope's spending at the Texas State Fair?

Back

The equation is 0.50x + 20 = 35, where x is the number of ride tickets she buys.

Front

What does the inequality n < 6 signify?

Back

It signifies that the value of n is less than 6.

Front

How do you determine if the value x = 15 makes the inequality x + 9 > 21 true?

Back

Substitute 15 into the inequality: 15 + 9 = 24, and since 24 > 21, the statement is true.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable that make the equation true.

Front

What is the significance of the solution to an inequality?

Back

The solution to an inequality represents a range of values that satisfy the condition stated in the inequality.

Front

How can you check if your solution to an equation is correct?

Back

You can check by substituting the solution back into the original equation to see if both sides are equal.