Math 7 Q2 Benchmark Review (2024-25)

Front

What is the constant of proportionality in the context of a puppy gaining weight?

Back

The constant of proportionality is the rate at which the puppy gains weight, which is 3 pounds per month.

Front

How do you calculate the price per pound of candy if Ronald bought 2 ½ pounds for $14.33?

Back

To find the price per pound, divide the total cost by the weight: $14.33 ÷ 2.5 = $5.73.

Front

If Mr. Clark has $140 and buys a model airplane for $65 and paint jars for $8.50 each, how do you find the greatest number of paint jars he can buy?

Back

First, subtract the cost of the airplane from the total: $140 - $65 = $75. Then divide the remaining money by the cost of each paint jar: $75 ÷ $8.50 = 8 jars.

Front

What does the inequality 7n - 1 > 76 represent?

Back

This inequality shows that when you solve for n, it represents all values of n that make the statement true, which can be graphed.

Front

How many matchbox cars would each of Roger's friends have if he keeps 117 cars and divides the rest among 8 friends?

Back

Roger has 253 - 117 = 136 cars left. Dividing 136 by 8 gives each friend 17 cars.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

Define the term 'inequality' in mathematics.

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What is the formula to find the unit price of an item?

Back

The unit price is found by dividing the total price by the quantity of the item.

Front

Explain how to solve the inequality 7n - 1 > 76 step by step.

Back

1. Add 1 to both sides: 7n > 77. 2. Divide both sides by 7: n > 11.

Front

What is the significance of rounding in calculations?

Back

Rounding helps simplify numbers to make them easier to work with, especially in financial contexts.