TSI Review End of 6

Front

What is the formula to calculate the average of a set of numbers?

Back

The average is calculated by dividing the sum of all numbers by the count of numbers. Formula: \( \text{Average} = \frac{\text{Sum of all numbers}}{\text{Count of numbers}} \)

Front

If a student scores 88, 92, and 86 on three tests, how do you find the minimum score needed on the fourth test to achieve an average of 90?

Back

Let the fourth score be x. Set up the equation: \( \frac{88 + 92 + 86 + x}{4} \geq 90 \). Solve for x to find that x must be at least 94.

Front

Define consecutive integers. How do you express three consecutive odd integers starting from x?

Back

Consecutive odd integers can be expressed as: x, x+2, x+4.

Front

What is the perimeter of a rectangle and how is it calculated?

Back

The perimeter P of a rectangle is calculated as: \( P = 2(L + w) \), where L is the length and w is the width.

Front

If the length of a rectangle is 18 feet longer than its width, how can you express the length in terms of width?

Back

If w is the width, then the length L can be expressed as: \( L = w + 18 \).

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is calculated as: \( A = L \times w \), where L is the length and w is the width.

Front

How do you solve a linear equation like \( 3t - 7 = 5t \)?

Back

Rearrange the equation: \( 3t - 5t = 7 \) leads to \( -2t = 7 \), thus \( t = -\frac{7}{2} \) or \( t = -3.5 \).

Front

What does it mean for a solution to be an inequality?

Back

An inequality shows the relationship between two expressions that are not necessarily equal, using symbols like >, <, ≥, or ≤.

Front

How do you graph an inequality like \( 3x - 4 \leq 2x - 9 \)?

Back

First, solve for x: \( 3x - 2x \leq -9 + 4 \) leads to \( x \leq -5 \). Graph this on a number line with a closed circle at -5.

Front

What is the significance of the minimum score needed to achieve a certain average?

Back

It helps in understanding the impact of future performance on overall results and setting goals for improvement.