Equations And Inequalities Quiz

1. 14= n+12

2

4

12

14

The equation 14 = n + 12 implies that n is 2. This can be found by subtracting 12 from both sides of the equation, resulting in n = 2. Therefore, the correct answer is 2.

Explanation

The equation 14 = n + 12 implies that n is 2. This can be found by subtracting 12 from both sides of the equation, resulting in n = 2. Therefore, the correct answer is 2.

2. 8n=64

8

16

32

64

The equation 8n = 64 can be solved by dividing both sides of the equation by 8. This will give us n = 8, which means that when 8 is multiplied by 8, the result is 64. Therefore, the correct answer is 8.

Explanation

The equation 8n = 64 can be solved by dividing both sides of the equation by 8. This will give us n = 8, which means that when 8 is multiplied by 8, the result is 64. Therefore, the correct answer is 8.

3. 10=5r

2

3

4

5

The equation 10 = 5r can be solved for r by dividing both sides of the equation by 5. This gives us r = 2, which means that the value of r that satisfies the equation is 2. Therefore, the correct answer is 2.

Explanation

The equation 10 = 5r can be solved for r by dividing both sides of the equation by 5. This gives us r = 2, which means that the value of r that satisfies the equation is 2. Therefore, the correct answer is 2.

4. 15=10-r

-5

5

10

15

The given equation is 15=10-r. To solve for r, we need to isolate it on one side of the equation. Subtracting 10 from both sides, we get 5=r. Therefore, the value of r is 5.

Explanation

The given equation is 15=10-r. To solve for r, we need to isolate it on one side of the equation. Subtracting 10 from both sides, we get 5=r. Therefore, the value of r is 5.

5. 6x>-18

X

X>-3

X>3

The correct answer is x>-3 because when we divide both sides of the inequality by 6, the inequality sign remains the same. Therefore, x is greater than -3.

Explanation

The correct answer is x>-3 because when we divide both sides of the inequality by 6, the inequality sign remains the same. Therefore, x is greater than -3.

6. -7x>-56

X

X>7

X

not-available-via-ai

Explanation

not-available-via-ai

7. 2x<-30

X

X>-15

The given answer, x > -15, is correct because the original inequality states that 2x is less than -30. Dividing both sides of the inequality by 2 gives x -15. This means that x is any value greater than -15, which satisfies the original inequality.

Explanation

The given answer, x > -15, is correct because the original inequality states that 2x is less than -30. Dividing both sides of the inequality by 2 gives x -15. This means that x is any value greater than -15, which satisfies the original inequality.

8. 12x-5<-29

X

X>2

X

not-available-via-ai

Explanation

not-available-via-ai