Answer:
1. No
2. Yes
3. Yes
4. Yes
5. No
6. Yes
7. No
8. Yes
9. No
10. No
11. Yes
12. No
13. 8 × r = 256
Number × Number of rooms = Total rooms
14. There are twice as many flute players as there are trumpet players, so f = 2 × 5
15. Let the cost of 1 tickets = be x then the equation of total cost is:
8 × x = 208
Solve for x:
x = 208/8
x = 26
Each ticket costs $26.
16. Let the low temperature be x then the equation for high temperature is:
x + 24 = 92
Solve for x:
x = 92 – 24
Evaluate:
x = 68
The low temperature was 68°F.
17. A number is checked if it is a solution of an equation or not by substituting its value in the equation and simplifying it. If the left and right hand side of the equation are equal then the number is a solution of the equation otherwise not.
Step-by-step explanation:
1.
23 = x – 9; x = 14
23 = 14 – 9 Substitute 14 for x
23 = 5 Subtract.
14 is a not of solution of the equation 23 = x – 9
x ≠ 14
2.
n/13 = 4; n = 52
52/13 = 4 Substitute 52 for n
4 = 4 Divide
52 is a solution of n/13 = 4
n = 52
3.
14 + x = 46; x = 32
14 + 32 = 46 Substitute 32 for x
46 = 46 Add
32 is a solution of 14 + x = 46
x = 32
4.
17y = 85; y = 5
17(5) = 85 Substitute 5 for y
85 = 85 Multiply.
5 is a solution of 17y = 85
y = 5
5.
Given equation:
25 = k/5
Substitute the given value of k in the given equation:
25 = 5/5
Simplify:
25 = 1
Compare:
25 ≠ 1
Since the left and right hand side of the equation are not equal, this implies that the given value of the variable is not a solution of the given equation.
k = 5 is not a solution of the given equation.
6.
2.5n = 45
Substitute the given value of n in the given equation:
2.5(18) = 45
Simplify:
45 = 45
Since the left and right hand side of the equation are equal, this implies that the given value of the variable is a solution of the given equation.
n = 18 is a solution of the given equation.
7.
21 = m + 9; m = 11
21 = 11 + 9 Substitute 11 for m
21 = 20 Add
11 is a not of solution of the equation 21 = m + 9
m ≠ 11
8.
21 – h = 15; h = 6
21 – 6 = 15 Substitute 6 for h
15 = 15 Subtract.
6 is a solution of 21 – h = 15
h = 6
9.
d – 4 = 19
Substitute the given value of d in the given equation:
15 – 4 = 19
Simplify:
11 = 19
Compare:
11 ≠ 19
Since the left and right hand side of the equation are not equal, this implies that the given value of the variable is not a solution of the given equation.
d = 15 is not a solution of the given equation.
10.
5 + x = 47; x = 52
5 + 52 = 47 Substitute 52 for x
57 = 47 Add
52 is a not of solution of the equation 5 + x = 47
x ≠ 52
11.
w – 9 = 0; w = 9
9 – 9 = 0 Substitute 9 for w
0 = 0 Subtract.
9 is a solution of w – 9 = 0
w = 9
12.
5q = 31
Substitute the given value of q in the given equation:
5(13) = 31
Simplify:
65 = 31
Compare:
65 ≠ 31
Since the left and right hand side of the equation are not equal, this implies that the given value of the variable is not a solution of the given equation.
q = 13 is not a solution of the given equation.
13.
Solution to this example is given below
Number × Number of rooms = Total rooms
8 × r = 256
14.
There are twice as many flute players as there are trumpet players, so f = 2 × 5
15.
Let the cost of 1 tickets = be x then the equation of total cost is:
8 × x = 208
Solve for x:
x = 208/8
x = 26
Each ticket costs $26.
16.
Let the low temperature be x then the equation for high temperature is:
x + 24 = 92
Solve for x:
x = 92 – 24
Evaluate:
x = 68
The low temperature was 68°F.
17.
A number is checked if it is a solution of an equation or not by substituting its value in the equation and simplifying it. If the left and right hand side of the equation are equal then the number is a solution of the equation otherwise not.