Solve the following linear equation. Click Here for Help Video

Question

2y+5+3y−1=74
(1 point)
y=

Answer 1

First, combine like terms:
2y + 3y + 5 - 1 = 74
Simplify:
5y + 4 = 74
Subtract 4 from both sides:
5y = 70
Divide both sides by 5:
y = 14

Answer 2

Solve the following linear equation. Click Here for Help Video

−4(3x+2)=−68
(1 point)
x=

Answer 3

First, distribute the -4 to the terms inside the parentheses:
-12x - 8 = -68
Add 8 to both sides:
-12x = -60
Divide both sides by -12:
x = 5

Answer 4

Solve the following linear equation. Click Here for Help Video

3y−5(2y−4)=62
(1 point)
y=

Answer 5

First, distribute the -5 to the terms inside the parentheses:
3y - 10y + 20 = 62
Combine like terms:
-7y + 20 = 62
Subtract 20 from both sides:
-7y = 42
Divide both sides by -7:
y = -6

Answer 6

Evaluate: (−7)+828
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Help Video #2 if needed

(1 point)
Responses

-6
-6

0
0

-7
-7

1

Answer 7

(-7) + 828 = 821

Answer 8

Evaluate: (4)(22−(−6)−35)
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Help Video #2 if needed

(1 point)
Responses

15
15

19
19

28
28

20
20

Answer 9

(4)(22 - (-6) - 35) = (4)(22 + 6 - 35) = (4)(28 - 35) = (4)(-7) = -28

Answer 10

Which of the following is a rational number between 5 and 8?(1 point)
Responses

28−−√
square root of 28

36−−√
square root of 36

40−−√
square root of 40

80−−√

Answer 11

To determine if a number is rational, we need to check if it can be expressed as a fraction of two integers. None of the given options can be expressed as a fraction, as they all involve square roots. Therefore, there is no rational number between 5 and 8 among the given options.