1. is B beacuse if you do 24 – 5 • 2 first you do 5x2 you get 10 then you subtract 24-10 and get 14 B is the right answer because 2(6 + 1) you do 6+1= 7 then you times it by 2 and get 14. hope you like my answer
Answer:
1) Option B
2) Option B
3) Option B
4) Option C
5) Option C
Step-by-step explanation:
1) To find : Which expression forms an equation with the given expression?
Solution :
Expression [tex]24-5\cdot 2[/tex]
We solve it and solve the options which matches is the required expression.
[tex]24-5\cdot 2=24-10=14[/tex]
A) [tex](5+3)\cdot 2=8+2=10[/tex] Not true
B) [tex]2(6+1)=2(7)=14[/tex] True
C) [tex]5\cdot 8-2=40-2=38[/tex] Not true
D) [tex]4\cdot 9+2=36+2=38[/tex] Not true
Therefore, Option B is correct.
2) To find : Which expression forms an equation with the given expression?
Solution :
Expression [tex]6\cdot 5+18\div 3[/tex]
We solve it and solve the options which matches is the required expression.
[tex]6\cdot 5+18\div 3=30+6=36[/tex]
A) [tex](4\cdot 12\div 2)+10=24+2=28[/tex] Not true
B) [tex]2\cdot 11+(2+12)=22+14=36[/tex] True
C) [tex]4+5\cdot 10-8=4+50-8=46[/tex] Not true
D) [tex](9+4)\cdot 4- 6=13\cdot 4-6=46[/tex] Not true
Therefore, Option B is correct.
3) To find : What statement makes the open sentence [tex]3x + 9 = 24[/tex] true?
Solution :
Expression [tex]3x + 9 = 24[/tex]
We substitute the options which satisfy is the required expression.
A) x=3
[tex]3(3)+9 = 24[/tex]
[tex]18\neq 24[/tex]
Not true.
B) x=5
[tex]3(5)+9 = 24[/tex]
[tex]24=24[/tex]
True.
C) x=11
[tex]3(11)+9 = 24[/tex]
[tex]42\neq 24[/tex]
Not true.
D) x=15
[tex]3(15)+9 = 24[/tex]
[tex]54\neq 24[/tex]
Not true.
Therefore, Option B is correct.
4) To find : What statement makes the open sentence [tex]7x-7=2x+8[/tex] true?
Solution :
Expression [tex]7x-7=2x+8[/tex]
We substitute the options which satisfy is the required expression.
A) x=0
[tex]7(0)-7=2(0)+8[/tex]
[tex]-7\neq 8[/tex]
Not true.
B) x=1
[tex]7(1)-7=2(1)+8[/tex]
[tex]0\neq 10[/tex]
Not true.
C) x=3
[tex]7(3)-7=2(3)+8[/tex]
[tex]14= 14[/tex]
True.
D) x=4
[tex]7(4)-7=2(4)+8[/tex]
[tex]21\neq 16[/tex]
Not true.
Therefore, Option C is correct.
5) To find : What statement makes the open sentence [tex]2.4=6x[/tex] true?
Solution :
Expression [tex]2.4=6x[/tex]
We substitute the options which satisfy is the required expression.
A) x=4.0
[tex]2.4=6(4)[/tex]
[tex]2.4\neq 24[/tex]
Not true.
B) x=2.5
[tex]2.4=6(2.5)[/tex]
[tex]2.4\neq15[/tex]
Not true.
C) x=0.4
[tex]2.4=6(0.4)[/tex]
[tex]2.4=2.4[/tex]
True.
D) x=0.2
[tex]2.4=6(0.2)[/tex]
[tex]2.4\neq 1.2[/tex]
Not true.
Therefore, Option C is correct.
