Algebra Word Problems

Front

What are consecutive numbers?

Back

Consecutive numbers are numbers that follow each other in order, without any gaps. For example, 57 and 58 are consecutive numbers.

Front

How do you set up an equation for the sum of two consecutive numbers?

Back

Let the first consecutive number be x. The second consecutive number will be x + 1. The equation for their sum is: x + (x + 1) = sum.

Front

What is the first step to solve the equation p + 95 = 215?

Back

The best first step is to subtract 95 from both sides to isolate p.

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 by itself, making it easier to solve.

Front

How do you model a situation with an equation?

Back

To model a situation, identify the quantities involved and their relationships, then translate these relationships into a mathematical equation.

Front

What is the equation for 'the sum of a number and 5 is multiplied by -3 and the answer is -24'?

Back

Front

How do you solve the equation -3(x + 5) = -24?

Back

First, divide both sides by -3, then simplify to find x.

Front

What does '4 less than 3 times a number is 26' translate to in an equation?

Back

Front

How do you find a number when given an equation like 3x - 4 = 26?

Back

Add 4 to both sides, then divide by 3 to solve for x.

Front

What is the relationship between two numbers if one is 5 more than the other?

Back

If the smaller number is x, then the larger number can be expressed as x + 5.