ACT Word Problems

Front

What is a percentage increase?

Back

A percentage increase is a way to express how much a quantity has grown relative to its original amount, calculated as (new value - original value) / original value * 100%.

Front

How do you calculate the total weight of two objects when one object's weight is increased by a percentage?

Back

If Max's weight increases by 15%, and he now weighs 46 pounds, you can find his original weight by dividing 46 by 1.15. Then, to find Boxer's weight, add half of Max's weight increase to the original weight.

Front

What is the formula for calculating savings when buying in bulk?

Back

Savings per item = (Price per item when bought individually - Price per item when bought in bulk) / Number of items.

Front

How do you calculate the total time spent on breaks during an exam with multiple sections?

Back

Total break time = (Number of sections - 1) * Break time per section.

Front

What is the rate of processing in a recycling machine?

Back

Rate of processing = Number of items processed / Time taken. For example, if a machine processes 10 bottles in 3 minutes, the rate is 10/3 bottles per minute.

Front

How do you express a time duration in terms of a variable?

Back

If a process takes a fixed time plus a variable time, express it as Total time = Fixed time + Variable time.

Front

What is the relationship between time and quantity in a rate problem?

Back

In rate problems, the quantity processed is directly proportional to the time spent, expressed as Quantity = Rate * Time.

Front

How do you set up an equation for a word problem involving weight gain?

Back

Let the original weight be x. If one puppy gains a percentage and the other gains a fixed amount, set up the equation: New weight = Original weight + (Percentage increase * Original weight) or New weight = Original weight + Fixed amount.

Front

What is the significance of understanding unit rates in word problems?

Back

Unit rates help compare different quantities and make decisions based on cost-effectiveness or efficiency.

Front

How do you determine the best buy when comparing prices?

Back

Calculate the cost per unit for each option and compare them to find the most economical choice.