1.
Three times Geoff’s age plus 3 is Myrka’s age. Myrka is 48.What is Geoff’s age?
Correct Answer
A. 15
Explanation
The given information states that three times Geoff's age plus 3 is equal to Myrka's age. Since Myrka's age is given as 48, we can set up the equation 3x + 3 = 48, where x represents Geoff's age. Solving this equation, we subtract 3 from both sides and divide by 3 to find that x = 15. Therefore, Geoff's age is 15.
2.
In the basketball game, Rachael scored 6 points less than twice the number of points Trina scored. Trina scored 9 points. How many points did Rachael score?
Correct Answer
B. 12 points
Explanation
Rachael scored 6 points less than twice the number of points Trina scored. Since Trina scored 9 points, twice the number of points Trina scored is 2*9=18 points. Therefore, Rachael scored 6 points less than 18 points, which is 18-6=12 points.
3.
9 + n = –2
Correct Answer
A. -11
Explanation
To find the value of n, we need to isolate it on one side of the equation. We can do this by subtracting 9 from both sides of the equation. This gives us n = -2 - 9, which simplifies to n = -11. Therefore, the correct answer is -11.
4.
14 = y – 10
Correct Answer
D. I. 24
Explanation
The equation is 14 = y - 10. To solve for y, we need to isolate it on one side of the equation. Adding 10 to both sides, we get y = 24. Therefore, the correct answer is I. 24.
5.
5 = x + 3
Correct Answer
C. C. 2
Explanation
The equation 5 = x + 3 can be solved by subtracting 3 from both sides to isolate the variable x. This gives us x = 5 - 3, which simplifies to x = 2. Therefore, the correct answer is C. 2.
6.
t - 26 = -21
Correct Answer
C. H. 5
Explanation
The equation t - 26 = -21 can be solved by adding 26 to both sides of the equation. This will eliminate the -26 on the left side, leaving t alone. When we add 26 to -21, we get 5. Therefore, the value of t is 5.
7.
84 = 7d
Correct Answer
B. B. 12
Explanation
The equation 84 = 7d can be solved by dividing both sides of the equation by 7. This gives us d = 12. Therefore, the value of d that satisfies the equation is 12, making option B the correct answer.
8.
6z = 12
Correct Answer
A. F. 2
Explanation
The correct answer is F. 2. To solve the equation 6z = 12, we need to isolate the variable z. We can do this by dividing both sides of the equation by 6. This will give us z = 2, meaning that the value of z that satisfies the equation is 2.
9.
Correct Answer
A. A.
10.
Correct Answer
D. I.
11.
Correct Answer
A. A.
12.
Correct Answer
D. I.
13.
13. -8x + 3 = -29
Correct Answer
B. B. 4
Explanation
To solve the equation -8x + 3 = -29, we need to isolate the variable x. First, we subtract 3 from both sides to get -8x = -32. Then, we divide both sides by -8 to solve for x. This gives us x = 4. Therefore, the correct answer is B. 4.
14.
3x + 1 = -11
Correct Answer
C. H. -4
Explanation
To solve the equation 3x + 1 = -11, we need to isolate the variable x. First, we subtract 1 from both sides of the equation to get 3x = -12. Then, we divide both sides by 3 to find x = -4. Therefore, the correct answer is H. -4.
15.
Correct Answer
C. C.
16.
0.3a = 6
Correct Answer
D. I. 20
Explanation
To solve the equation 0.3a = 6, we need to isolate the variable a. We can do this by dividing both sides of the equation by 0.3. This gives us a = 6/0.3, which simplifies to a = 20. Therefore, the correct answer is I. 20.
17.
What is the solution of x + 6 < 5?
Correct Answer
C. C. x < -1
Explanation
The solution to the inequality x + 6 < 5 is x < -1. To find this solution, we subtract 6 from both sides of the inequality, resulting in x < -1. This means that any value of x that is less than -1 will satisfy the inequality.
18.
Correct Answer
B. G.
19.
Correct Answer
A. A.
20.
Correct Answer
A. F.