Algebra Word Problems Review

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, 15, 16, and 17 are three consecutive integers.

Front

How do you set up an equation for the sum of three consecutive integers?

Back

Let the first integer be x. The next two consecutive integers will be x+1 and x+2. The equation for their sum is: x + (x + 1) + (x + 2) = total.

Front

If the sum of three consecutive integers is 48, what is the equation to solve for the smallest integer?

Back

The equation is: 3x + 3 = 48, which simplifies to 3x = 45, so x = 15.

Front

How do you solve a word problem involving total cost?

Back

Identify the total cost, the cost per item, and set up the equation: total cost = cost per item × number of items.

Front

If Charlie paid $24 for sodas costing $3 each, how do you find the number of friends he paid for?

Back

Set up the equation: 3x = 24, where x is the number of friends. Solving gives x = 8.

Front

What is the formula to calculate the total bill including fixed and variable costs?

Back

Total bill = fixed cost + (variable cost per unit × number of units).

Front

If Darcy's cell phone bill is $65.25 with a monthly fee of $30 and $0.15 per text, how do you find the number of texts sent?

Back

Set up the equation: 30 + 0.15x = 65.25, where x is the number of texts. Solving gives x = 235.

Front

How do you find the total amount of money found if it is split evenly?

Back

If two people split an amount evenly and each gets $6, the total amount is: 2 × 6 = $12.

Front

What is the equation to represent total spending in a word problem?

Back

Identify fixed costs and variable costs, then set up the equation: fixed cost + (variable cost per item × number of items) = total spending.

Front

If Jayden spent $20 on parking and $8 per ride ticket for a total of $68, how do you write the equation?

Back

The equation is: 20 + 8x = 68, where x is the number of ride tickets.