Academic Grade 9 Review Test

The given expression is -17-7. To simplify this expression, we can combine the two negative numbers by adding them together. -17 + (-7) equals -24. Therefore, the answer to the expression -17-7 is -24.

The expression can be simplified by following the order of operations, which states that we should first perform any calculations within parentheses. In this case, we have 51-10x5 within parentheses. Multiplication should be done before subtraction, so we multiply 10 and 5 to get 50, and then subtract that from 51 to get 1. Next, we have 16/4 - 3. Division should be done before subtraction, so we divide 16 by 4 to get 4, and then subtract 3 to get 1. Finally, we divide the result of the first calculation (1) by the result of the second calculation (1), which gives us 1.

The given equation can be solved by following the order of operations (PEMDAS). First, we multiply 20 by 4, which gives us 80. Then, we subtract 80 from 84, resulting in 4. Finally, we add 3 to 4, giving us a final answer of 7.

The given expression is -4/3 divided by 2/-3. To simplify this expression, we can multiply the numerator and denominator of the first fraction by -3, and the numerator and denominator of the second fraction by 2. This gives us (-4/3) * (-3/2). Multiplying the numerators and denominators, we get 12/6, which simplifies to 2. Therefore, the answer is 2.

The given expression, 3(4x+5-2x), can be simplified by distributing the 3 to each term inside the parentheses. This results in 12x + 15 - 6x. Combining like terms, we get 6x - 12x - 15.

The given question requires adding the fractions 1/4 and -3/4. When adding fractions, we need to have a common denominator, which in this case is 4. Adding 1/4 and -3/4 gives us -2/4, which can be simplified to -1/2. Therefore, the correct answer is -1/2.

Substituting the given values of a, b, and c into the equation, we have 2(1/3) - 4(1/2) + (-1/8). Simplifying this expression, we get 2/3 - 2 + (-1/8). To add the fractions, we need a common denominator, which is 24. So, 2/3 can be written as 16/24. Now, we have (16/24) - 2 + (-1/8), which is equal to 16/24 - 48/24 - 3/24. Combining the fractions, we get -35/24. Therefore, the value of the expression is -35/24.

The given equation is 15.8-6m=3.8. To solve for m, we need to isolate the variable on one side of the equation. By subtracting 15.8 from both sides, we get -6m=-12. By dividing both sides by -6, we find that m=2.

The given expression simplifies to -16/25.

The given expression can be simplified as (5 * -9) / (-3 * 7). Multiplying -9 and -3 gives 27, and multiplying 5 and 7 gives 35. Therefore, the expression simplifies to 27/35. However, the given answer is 45/21. This answer is incorrect because it does not simplify to the same value as the original expression.

To find the value of 5c/2d, we substitute the given values of c and d into the expression. Therefore, 5c/2d becomes 5(1.5)/2(-2.4). Simplifying this expression, we get (-7.5)/(-4.8) which is equal to 1.5625. However, since the question asks for the value of 5c/2d and not the absolute value, the answer is -1.5625.

The given expression is a combination of two terms being subtracted. To simplify it, we can distribute the negative sign to both terms inside the parentheses. This gives us -8x - 10y - 32x + 28y. We can then combine like terms by adding the coefficients of x and y separately. This results in -40x + 18y.

To solve the equation, we need to isolate the variable y. First, we subtract 1/2 from both sides of the equation, which gives us 2y = 2/3 - 1/2. To simplify the right side, we need to find a common denominator, which is 6. So, 2/3 becomes 4/6 and 1/2 becomes 3/6. Now, we can subtract the fractions to get 2y = 4/6 - 3/6. This simplifies to 2y = 1/6. Finally, we divide both sides by 2 to solve for y, giving us y = 1/12.

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The given answer is correct because a monomial is a polynomial with only one term, which is represented by 5xy. A binomial is a polynomial with two terms, which is represented by 5x-2y. Another binomial is represented by 6x-5x, which can be simplified to x. Therefore, the given polynomials can be identified as a monomial, b binomial, and c binomial.

The given answer, 58.1 m (squared), is the correct answer for the area of a circle. The formula for calculating the area of a circle is A=(pie)r squared, where r is the radius of the circle. By plugging in the value of 58.1 m for A, we can solve for the radius of the circle.