Advanced Algebra 1 Review Quiz

The question asks for the amount by which the temperature needs to increase to reach 14. The given answer options all indicate an increase of 26 degrees, which is the correct answer.

To find 7% of a number, we can multiply the number by 0.07. In this case, if we multiply 1300 by 0.07, we get 91. Therefore, 7% of 1300 is indeed 91.

To simplify the given expression, we can start by distributing the -2 to both terms inside the parentheses. This gives us -2 * 7h and -2 * -1, which simplifies to -14h and +2, respectively. Then, we can combine like terms by adding the -14h and +2. This gives us the final simplified expression of -14h + 2. Therefore, the correct answer is -14h + 2.

The equation given is a simple linear equation with one variable, T. By combining the fractions and multiplying both sides of the equation by the least common denominator, we can simplify the equation to 27T/180 = 129. By cross-multiplying and solving for T, we get T = 860.

The given equation is a linear equation in terms of k. To solve for k, we need to isolate it on one side of the equation. By subtracting 4k from both sides, we get 39 = 3k + 6. Then, by subtracting 6 from both sides, we get 33 = 3k. Finally, by dividing both sides by 3, we find that k = 11. Therefore, the answer is k = 11, and it is also correct to say that 11 = k.

The given equation states that when subtracting 0.32s from 53.84, it is equal to subtracting 0.18s from 48.17. To find the value of s, we can solve for it by isolating the variable. By subtracting 48.17 from both sides of the equation and combining like terms, we get -0.32s + 0.18s = 53.84 - 48.17. Simplifying further, we have -0.14s = 5.67. To solve for s, we divide both sides of the equation by -0.14, resulting in s = 5.67 / -0.14 = 40.5. Therefore, the correct answer is s = 40.5, and we can also express it as 40.5 = s.

To simplify the expression 8x - (3x - 7), we need to distribute the negative sign to both terms inside the parentheses. This gives us 8x - 3x + 7. Combining like terms, we get 5x + 7. Therefore, the simplified expression is 5x + 7.

The equation k/4 - k/6 = 0.5 can be solved by finding a common denominator for the fractions. The common denominator is 12. Multiplying both sides of the equation by 12, we get 3k - 2k = 6. Simplifying, we have k = 6. Therefore, the answer is k = 6, which is equivalent to 6 = k.

The given equation states that 0.3n + 7 + -7 is greater than or equal to 70 + -7. By simplifying the equation, we can cancel out the +7 and -7 terms on both sides. This leaves us with 0.3n is greater than or equal to 70. By dividing both sides of the equation by 0.3, we find that n is greater than or equal to 210.

The sale price of the dishwasher can be found by subtracting the discount from the original price. In this case, the discount is 15% of $320, which is $48. Subtracting $48 from $320 gives us a sale price of $272.

The opposite of a fraction is obtained by changing the sign of the numerator or the denominator, or both. In this case, the given fraction is 2/9. To find its opposite, we change the sign of either the numerator or the denominator, or both. Changing the sign of the numerator gives -2/9, which is the opposite of 2/9.

A customer would save $64.20 by buying the TV on sale. This means that the sale price of the TV is $64.20 less than the original price, including tax. Therefore, if the customer purchases the TV on sale, they would pay $64.20 less than they would if they bought it at the original price.

The equation x/6 + 17/36 - x/4 = -7 can be solved by finding a common denominator for the fractions and combining like terms. After simplifying the equation, we can solve for x by isolating it on one side. The solutions are x = 269/3 and x ≈ 89.67.

The given answer states that x is less than or equal to -18 and -18 is greater than or equal to x. This means that x can take any value that is less than or equal to -18, and -18 can take any value that is greater than or equal to x. Therefore, the answer is correct as it satisfies the original inequality -7x ≥ 126.

The tax rate is given as .07 or 7%. This means that for every dollar of taxable income, 7 cents or 7% will be paid as tax.

The discount rate can be calculated by finding the difference between the original price and the sale price, which in this case is $400 - $340 = $60. The tax on the reduced price is $23.80, so the total cost with tax is $363.80. To find the discount rate, we divide the discount amount ($60) by the total cost with tax ($363.80) and multiply by 100 to get a percentage. Therefore, the discount rate is ($60 / $363.80) * 100 = 16.47%, which can be approximated to 15%.

The probability of selecting the ace of spades is 1 out of 52 because there is only one ace of spades in a standard deck of 52 cards. The probability of selecting a 5 is 1 out of 13 because there are four 5s in a deck of 52 cards. The probability of selecting a 5 or a 9 is 2 out of 13 because there are four 5s and four 9s in a deck of 52 cards.