1.
Solve: x + 8 = 15
Correct Answer
A. X = 7
Explanation
The given equation, x + 8 = 15, can be solved by subtracting 8 from both sides of the equation. This gives us x = 7, which satisfies the equation and is therefore the correct answer.
2.
Solve: y - 3 = -5
Correct Answer
D. Y = -2
Explanation
The equation y - 3 = -5 can be solved by adding 3 to both sides of the equation, which gives y = -2.
3.
Solve: -2x = 88
Correct Answer
B. X = -44
Explanation
To solve the equation -2x = 88, we need to isolate the variable x. We can do this by dividing both sides of the equation by -2. This gives us x = -44. So, the correct answer is x = -44.
4.
Solve: r/5 = -9
Correct Answer
C. R = -45
Explanation
To solve the equation r/5 = -9, we can multiply both sides of the equation by 5 to isolate r. This gives us r = -45.
5.
Simplify: 3x + 4 - 8x
Correct Answer
A. -5x + 4
Explanation
The given expression is 3x + 4 - 8x. To simplify this expression, we combine like terms by adding the coefficients of x. In this case, we have 3x and -8x, which gives us -5x. The constant term 4 remains unchanged. Therefore, the simplified expression is -5x + 4.
6.
Simplify: -6(x + 5) + 2x
Correct Answer
D. -4x - 30
Explanation
The given expression can be simplified by distributing the -6 to both terms inside the parentheses. This results in -6x - 30 + 2x. Combining like terms, we get -4x - 30. Therefore, the correct answer is -4x - 30.
7.
Simplify: 7p - 5m + 6p + 3m
Correct Answer
B. 13p - 2m
Explanation
The given expression involves adding like terms. The terms 7p and 6p can be combined to give 13p. Similarly, the terms -5m and 3m can be combined to give -2m. Therefore, the simplified expression is 13p - 2m.
8.
What operation should you do first in order to solve the following equation: -9 + x = 43
Correct Answer
A. Add 9
Explanation
To solve the equation -9 + x = 43, you need to isolate the variable x. Since -9 is being added to x, the opposite operation would be to subtract 9. By subtracting 9 from both sides of the equation, you will be left with x = 52.
9.
What operation should you do first in order to solve the following equation: t/5 = 85
Correct Answer
C. Multiply by 5
Explanation
To solve the equation t/5 = 85, we need to isolate the variable t. In order to do that, we need to get rid of the division by 5. To do this, we can multiply both sides of the equation by 5. This will cancel out the division and give us t = 85 * 5, which simplifies to t = 425. Therefore, the correct operation to do first is to multiply by 5.
10.
To combine like terms, we should...
Correct Answer
A. Add & subtract them
Explanation
To combine like terms, we add and subtract them. Like terms are terms that have the same variable(s) raised to the same power(s). By adding or subtracting like terms, we can simplify an expression and combine similar terms into a single term. This helps us to simplify equations and expressions and make them easier to solve or work with.