Say IT With Symbols Test: Quiz!

The given expression is 4(x + 8) - 9. To simplify this expression, we first distribute the 4 to both terms inside the parentheses: 4 * x = 4x and 4 * 8 = 32. The expression becomes 4x + 32 - 9. Finally, we combine like terms by subtracting 9 from 32, resulting in 4x + 23.

The given expression is a sum of two terms: 3x + 1 and 8x + 9. To simplify the expression, we can combine like terms. The coefficient of x in the first term is 3, and in the second term is 8. Therefore, the sum of the x terms is 3x + 8x = 11x. The constant term in the first term is 1, and in the second term is 9. Therefore, the sum of the constant terms is 1 + 9 = 10. Hence, the simplified expression is 11x + 10.

The given expression is 4(x + 8) - 9. To simplify this expression, we distribute the 4 to both terms inside the parentheses, resulting in 4x + 32. Then, we subtract 9 from this expression, giving us a final answer of 4x + 23.

The given expression is a combination of terms with variables and constants. To simplify the expression, we can combine like terms by adding the coefficients of the variables and the constants separately. In this case, the coefficients of the x terms are 3 and 8, which add up to 11. The constant terms are 1 and 9, which add up to 10. Therefore, the simplified expression is 11x + 10.

The given expression is a combination of like terms. The terms 2x and -7x can be combined to give -5x, and the terms 5y and 8y can be combined to give 13y. Therefore, the simplified expression is -5x + 13y.

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The given expression involves adding and subtracting variables. By combining like terms, we can simplify the expression. The terms with 'x' are 2x and -7x, which can be combined to give -5x. Similarly, the terms with 'y' are 5y and 8y, which can be combined to give 13y. Therefore, the simplified expression is -5x + 13y.

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The equation P = (10x + 2) - (3x + 5) represents the profit made from selling items at the concession stand. The profit is given as $60. By solving the equation, we can find the value of x, which represents the number of items sold. In this case, the value of x is 9, indicating that 9 items were sold to make a profit of $60.

The given expression -3(x + y) + 5(x - y) can be simplified by distributing the -3 and 5 to the terms inside the parentheses. This gives us -3x - 3y + 5x - 5y. Combining like terms, we get 2x - 8y. Therefore, the correct answer is 2x - 8y.

The given expression -3(x + y) + 5(x - y) can be simplified by distributing the -3 and 5 to the terms inside the parentheses. This gives us -3x - 3y + 5x - 5y. Combining like terms, we get 2x - 8y. Therefore, the correct answer is 2x - 8y.

Linear expressions are those that follow a linear pattern, meaning they have a constant rate of change. In other words, the variables in a linear expression are raised to the first power only and do not have any exponents or roots. Therefore, expressions like 3x + 2, 5y - 7, and 2z are linear because they consist of variables raised to the first power and do not include any exponents or roots. On the other hand, expressions like 4x^2 + 3 and √x - 2 are not linear because they contain variables raised to a power other than one.

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The expression x(x+11) represents the area of the model above because it is the product of the length x and the width (x+11). This is a common formula for finding the area of a rectangle, where x represents the length and (x+11) represents the width.

The equation P = I - E represents the profit. In this equation, I represents the income or revenue generated from operating the concession stand, and E represents the expenses incurred in operating the concession stand. By subtracting the expenses from the income, we get the profit. Therefore, the equation P = I - E shows the profit. The equation P = (10x + 2) - (3x + 5) is the expanded form of the profit equation, where 10x + 2 represents the income and 3x + 5 represents the expenses. Simplifying this equation further gives P = 7x - 3, which also represents the profit.