Go Math Chapter 2 Multiplication Comparisons

Front

What is a multiplication comparison?

Back

A multiplication comparison is a mathematical statement that compares two quantities using multiplication, often expressed in terms of one quantity being a certain number of times larger or smaller than another.

Front

If Emma scored 3 times as many goals as Olivia and they scored a total of 24 goals, how can we find out how many goals Olivia scored?

Back

Let Olivia's goals be x. Then Emma's goals are 3x. The equation is x + 3x = 24. Solving gives x = 6, so Olivia scored 6 goals.

Front

In a situation where one person scores 4 times as many points as another, how do you set up the equation?

Back

Let the points scored by the second person be y. Then the first person scores 4y. The total points can be expressed as y + 4y = total points.

Front

What is the first step to solve a multiplication comparison problem?

Back

Identify the total amount and the relationship between the two quantities (e.g., one is a multiple of the other).

Front

If Sam scored 3 times as many points as Alex and they scored a total of 50 points, how do you find Alex's score?

Back

Let Alex's score be y. Then Sam's score is 3y. Set up the equation: y + 3y = 50. Solving gives y = 10, so Alex scored 10 points.

Front

What does it mean if one quantity is described as 'twice' another?

Back

It means that the first quantity is equal to two times the second quantity.

Front

How do you find the individual scores if you know the total and the ratio of their scores?

Back

Set up an equation based on the ratio, express each score in terms of a variable, and solve for that variable.

Front

If Lisa scored 4 times as many goals as Maria and they scored a total of 20 goals, how many goals did Maria score?

Back

Let Maria's goals be z. Then Lisa's goals are 4z. The equation is z + 4z = 20. Solving gives z = 4, so Maria scored 4 goals.

Front

What is the relationship between multiplication and division in solving comparison problems?

Back

Multiplication can be used to express one quantity in terms of another, while division can be used to find the individual quantities when the total is known.

Front

If Julio scored 16 points and the total score was 36, how do you find Kris's score?

Back

Subtract Julio's score from the total: 36 - 16 = 20. Kris scored 20 points.