Grade 8th Math STAAR Practice Test

Front

What is the relationship expressed by the equation y = (x/4) - 6?

Back

The value of y is 6 less than the quotient of x and 4.

Front

How do you calculate the balance of an investment account with compound interest?

Back

Use the formula A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years the money is invested.

Front

What does the inequality 2x + 18 < 3x + 11 represent in a real-world context?

Back

It represents a situation where one person is making items at a different rate than another, and we want to find out when one will surpass the other.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How can you determine if a set of side lengths can form a right triangle?

Back

Use the Pythagorean theorem: check if a² + b² = c², where c is the longest side.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes: positive slope means the line rises, negative slope means it falls.