Benchmark 2 Study Guide Part 1 2024

Front

What is the solution to the equation: The sum of a number, n, and 2 is multiplied by -3 and the result is 9?

Back

The number is -5.

Front

In the equation y = -30x, what is the constant of proportionality?

Back

The constant of proportionality is -30.

Front

In the equation 5(x + 7) = 70, what does the variable x represent?

Back

The variable x represents the number of nails in 1 kit.

Front

If it takes 12 gallons of gas to drive 276 miles, how many miles can be driven with 21 gallons of gas?

Back

You can drive 483 miles with 21 gallons of gas.

Front

What is the value of x in the equation 5(x + 7) = 70?

Back

The value of x is 7.

Front

Define 'constant of proportionality'.

Back

The constant of proportionality is the constant value of the ratio of two proportional quantities, often represented as k in the equation y = kx.

Front

What is a variable in an equation?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions and equations.

Front

Explain the concept of 'solving an equation'.

Back

Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

What is the formula to find the total number of items in kits if each kit contains a fixed number of items?

Back

The total number of items can be found using the formula: Total = Number of kits × Items per kit.