Question

1. Solve the equation using addition or subtraction.Equation:4=q+13Choices:q=4q=17q=-9q=-22.Solve the equation using addition or subtraction Equation:5.5=-2+dChoices:d=5d=7.5d=5.5d=3.53.Solve the equation using multiplication or division Equation:-7y=28Choices:y=-4y=4y=14y=354.Solve the equation using multiplication or division.Equation:-13=m/-5choices:m=13/5m=45m=65m=5/137. You have a rack that can hold 30 CDs. You can fit 7 more CDs on the rack before the rack is full. Which equation models this situation appropriately,where x represents the number of CDs?Choices:x+30=7x-7=307+30=xx+7=308.You have a rack that can hold 30 CDs. You can fit 7 more CDs on the rack before the rack is full. How many CDs are in the rack?Choices:A.13B.23C.7D.37

Answer 1

1) The given equation is : 4 = q + 13

Subtract 13 on both side;

4 - 13 = q + 13-13

-9 = q

q = -9

Answer : q = -9

2) The given equation is : 5 = -2 + d

Add 2 on both side;

5.5 + 2 = -2 + 2 + d

7.5 = d

d = 7.5

Answer : d = 7.5

3) The given equation is : -7y = 28

Divide both side of the equation by (-7);

`\begin{gathered} (-7y)/(-7)=(28)/(-7) \\ y=-4 \end{gathered}`

Answer : y = -4

4) The given equation is : -13 = m/(-5)

Multiply both side by (-5);

`\begin{gathered} -13=(m)/(-5) \\ -13*(-5)=(m)/(-5)*(-5) \\ 65=m \end{gathered}`

Answer : m = 65

5) You have a rack that can hold 30 CDs.

i.e., Total number of CDs that rack can hold = 30

You can fit 7 more CDs on the rack before the rack is full.

Extra number of Cd required to fill the rack = 7

where x represents the number of CDs

Since, x + extra CD require to fill the rack = 30

Thus, x + 7 = 30

Answer : x + 7 = 30

6) You have a rack that can hold 30 CDs.

i.e., Total number of CDs that rack can hold = 30

You can fit 7 more CDs on the rack before the rack is full.

Extra number of Cd required to fill the rack = 7

where x represents the number of CDs

Since, x + extra CD require to fill the rack = 30

Thus, x + 7 = 30

Solve the expression for x, as x represent the no of CDs in the rack;

x + 7 = 30

Subtract 7 from both side of the equation

x + 7 - 7 = 30 - 7

x = 23

Answer : 23