Chapters 1-3 Test Review

Front

What is the relationship between the speeds of a cheetah and a lion if the cheetah is 21 mph faster and their total speed is 117 mph?

Back

Let the lion's speed be x mph. Then, the cheetah's speed is x + 21 mph. The equation is x + (x + 21) = 117. Solving gives lion's speed = 48 mph and cheetah's speed = 69 mph.

Front

How do you round the number 5414 to the nearest tens, hundreds, and thousands?

Back

Tens: 5410, Hundreds: 5400, Thousands: 5000.

Front

What is the first step to solve the equation 16y = 3(5y - 4)?

Back

Multiply to remove parentheses: 16y = 15y - 12.

Front

Back

Multiply both sides by 8 to get n = -64.

Front

What is the result of simplifying the expression 3x - 9x?

Back

Combine like terms: 3x - 9x = -6x.

Front

Define 'like terms' in algebra.

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

What is the formula for finding the speed of an object?

Back

Speed = Distance / Time.

Front

Explain how to isolate a variable in an equation.

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to round a number?

Back

Rounding a number means adjusting it to a nearby specified value, often to make it simpler or easier to work with.

Front

What is the solution to the equation 16y = 3(5y - 4) after simplification?

Back

The solution is y = -12.