Math7 Ch6 Practice Test - Form 1a

1) 84 = 7d

A. 8

B. 12

C. 77

D. 91

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.

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.

2) 6z = 12

F. 2

G. 6

H. 18

I. 72

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.

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.

3) Three times Geoff's age plus 3 is Myrka's age. Myrka is 48.What is Geoff's age?

15

17

135

153

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.

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.

4) 5 = x + 3

A. –8

B. –2

C. 2

D. 8

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.

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.

5) 13. -8x + 3 = -29

A. 256

B. 4

C. 3

D. -40

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.

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.

6) 3x + 1 = -11

F. -36

G. -30

H. -4

I. -3

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.

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.

7)

A.

B.

C.

D.

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Explanation

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8) 9 + n = –2

-11

-7

2

7

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.

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.

9)

A.

B.

C.

D.

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Explanation

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10)

F.

G.

H.

I.

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Explanation

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11) 14 = y – 10

F. –24

G. –4

H. 4

I. 24

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.

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.

12) 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?

3 points

12 points

15 points

18 points

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.

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.

13)

A.

B.

C.

D.

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Explanation

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14) What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < -1

D. x > -1

The solution to the inequality x + 6

Explanation

The solution to the inequality x + 6

15) 0.3a = 6

F. 1.8

G. 2

H. 18

I. 20

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.

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.

16) t - 26 = -21

F. -47

G. -5

H. 5

I. 47

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.

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.