Question

Determine the value of b in the equation b3 = −125.



Group of answer choices

b = −41.7

b = 5

b = 41.7

b = −5
How many solutions does the equation −2a + 2a + 7 = 8 have?

Group of answer choices

Zero

Infinitely Many

One

Two
What is the value of y in the equation 2(2y − 12) = 0?

Group of answer choices

4

8

6

7

How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?

Group of answer choices

One

Zero

Infinitely Many

Two
Multiply: 6(8 − 3c)

Group of answer choices

48 − 18c

48 − 3c

68 − 63c

14 − 9c
What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?

Group of answer choices

34

21

26

19Solve −7x − 7 = −3x + 9 for x.



Group of answer choices

x = 3

x = 4

x = −3

x = −4
Lesson 7



How many solutions does the equation 4p + 7 = 3 + 4 + 4p have?

Group of answer choices

Two

One

None

Infinitely Many

Which of these is a simplified form of the equation 6y + 4 = 8 + 2y + 2y?

Group of answer choices

6y = 8

2y = 4

10y = 12

4y = 12

Which statement is true about the equation?

fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1

Group of answer choices

It has one solution.

It has two solutions.

It has infinitely many solutions.

It has no solution.

What is the solution to the equation 1.6m − 4.8 = −1.6m?

Group of answer choices

m = 3

m = 1.5

m = 0.7

m = 0.5

Answer 1

1) b^3 = −125 → b = −5.

2) −2a + 2a + 7 = 8 → 7 = 8, contradiction → Zero solutions.

3) 2(2y − 12) = 0 → 4y − 24 = 0 → y = 6.

4) 6z − 3z − 7 = −2 + 3 → 3z − 7 = 1 → one solution (z = 8/3).

5) 6(8 − 3c) = 48 − 18c.

6) 2(4z − 9 − 7) = 166 − 46 → 8z − 32 = 120 → z = 19.

7) −7x − 7 = −3x + 9 → −7 − 9 = 4x → x = −4.

8) 4p + 7 = 3 + 4 + 4p → identity 4p+7 = 4p+7 → Infinitely Many solutions.

9) 6y + 4 = 8 + 2y + 2y → simplifies to 2y = 4.

10) 3/(4z) − 1/(4z+1) = 2/(4z+1) → no solution.

11) 1.6m − 4.8 = −1.6m → 3.2m = 4.8 → m = 1.5.