ACT Word Problems

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It is often expressed as 'a:b'.

Front

How do you find the total number of students given a ratio?

Back

To find the total number of students given a ratio, you can set up an equation based on the ratio parts and the total. For example, if the ratio of juniors to seniors is 3:4 and the total is 210, you can let 3x be juniors and 4x be seniors, then solve for x.

Front

What is the formula for finding the fraction of a group?

Back

Front

What does it mean for a number to be divisible by another number?

Back

A number is divisible by another number if, when divided, it results in a whole number with no remainder.

Front

What are the factors of a number?

Back

Factors of a number are integers that can be multiplied together to produce that number. For example, the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Front

How do you determine if a number is a factor of a product?

Back

To determine if a number is a factor of a product, check if the product can be divided by that number without leaving a remainder.

Front

What is the process for solving a word problem involving money transactions?

Back

To solve a word problem involving money transactions, identify the amounts given and received, set up an equation to represent the total amount before transactions, and solve for the unknown.

Front

How do you calculate the rate of a machine processing items?

Back

Front

What is the formula for calculating the total output of a machine over a period of time?

Back

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations, often denoted by letters such as x, y, or z.