Algebra Questions: Practice Test! Quiz

To solve the equation 7g - 14 = 63, we need to isolate the variable g. To do this, we can start by adding 14 to both sides of the equation to eliminate the -14 term. This gives us 7g = 77. Next, we divide both sides of the equation by 7 to solve for g. This simplifies to g = 11, which is the correct answer.

The given equation is -58 = -29h/2. To solve for h, we need to isolate h by multiplying both sides of the equation by 2. This gives us -116 = -29h. Dividing both sides by -29, we find that h = 4. Therefore, the correct answer is 2.

To solve the equation 18 - (-f) = 91, we need to simplify the expression on the left side. The double negative cancels out, so it becomes 18 + f = 91. To isolate the variable f, we subtract 18 from both sides of the equation, resulting in f = 73. Therefore, the correct answer is 73.

To solve the equation 5t-9=-3t+7, we need to isolate the variable t. We can do this by combining like terms on both sides of the equation. Adding 3t to both sides gives us 8t-9=7. Then, adding 9 to both sides gives us 8t=16. Finally, dividing both sides by 8 gives us t=2. Therefore, the solution to the equation is t=2.

The equation for the problem is x + 5 = 42.

The equation 142 + d = 97 can be solved by isolating the variable d. To do this, we can subtract 142 from both sides of the equation. This gives us d = 97 - 142. Simplifying further, we have d = -45. Therefore, the answer is -45 or negative 45.

To solve the equation -11 = 7 + 3c, we need to isolate the variable c. First, we subtract 7 from both sides of the equation, which gives us -18 = 3c. Then, we divide both sides by 3 to solve for c. This yields -6 = c. Therefore, the correct answer is -6.

The percent of change is calculated by finding the difference between the new price and the original price, dividing it by the original price, and then multiplying by 100. In this case, the difference is -5 dollars (new price minus original price) and the original price is 10 dollars. So, the percent of change is (-5/10) * 100 = -50%. This negative sign indicates a decrease in price, which is why the correct answer is -50%.

The equation given is 2m + 5 = 5(m - 7) - 3m. To solve it, we need to simplify both sides of the equation. Distributing the 5 on the right side gives us 5m - 35 - 3m. Combining like terms, we have 2m + 5 = 2m - 35. By subtracting 2m from both sides, we get 5 = -35. This equation is not possible since 5 cannot equal -35. Therefore, there is no solution to the given equation.

Add 4 to both sides: This cancels out the -4 on the left side, leading to:

2x - 4 + 4 = 10 + 4

2x = 14

Divide both sides by 2: This isolates x on the left side, resulting in:

2x / 2 = 14 / 2

x = 7

The given equation states that the sum of twice the value of r and three times the value of s is equal to thirteen. By rearranging the terms, we can write the equation as 2r + 13s = 13. This equation represents the relationship between the variables r and s, where their values can be determined to satisfy the equation.

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