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How much do you know about algebra? Would you like answers to questions about algebra? Algebra is the study of mathematical symbols and rules pertaining to the use of these symbols. Algebra is notoriously difficult even with the best of teachers, but you can take this practice test to ensure that you are prepared for the real exam. If you need to ask algebra questions, this is the quiz that has the answers.
Questions and Answers
1.
The sum of twice r and three times s is identical to thirteen.
A.
2r+13s=13
B.
2(r+3s)=13
Correct Answer
A. 2r+13s=13
Explanation 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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2.
Solve:
142+d=97
Correct Answer -45 negative 45
Explanation 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.
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3.
Write an equation for the problem below:
a number increased by 5 is equal to 42
(use x as your variable)
Correct Answer x+5=42 x +5=42 x + 5=42 x+ 5=42 x + 5 = 42
Explanation The equation for the problem is x + 5 = 42.
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4.
Solve:18-(-f)=91
Correct Answer 73
Explanation 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.
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5.
Solve:b=-117
Correct Answer -77
6.
-58=-29h
Correct Answer 2
Explanation 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.
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7.
Solve:-11=7+3c
Correct Answer -6
Explanation 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.
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8.
Solve:7g-14=63
Correct Answer 11
Explanation 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.
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9.
Solve:2m+5=5(m-7)-3m
A.
M=1
B.
M=0
C.
M=All Reals
D.
No Solution
Correct Answer
D. No Solution
Explanation 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.
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10.
Solve:5t-9=-3t+7
Correct Answer 2
Explanation 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.
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11.
What is the solution to the equation 2x - 4 = 10?
Correct Answer x = 7, 7
Explanation 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
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12.
A pizza store is having a sale on a large pizza. The original price is 10 dollars. The new price is 5 dollars. What is the percent of change?
A.
+50%
B.
-50%
C.
-10%
D.
+10%
Correct Answer
B. -50%
Explanation 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%.
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