Math test
activity 1: Solve for the unknown. Show your complete solution
1.) 40x - 24 = 56
2.) 7y + 46 = 81
3.) 16a = 4a + 60
4.) 8x = 2x + 60
5.) x - 1 = 12
Extra:
5b + 6 = 41
please answer it.
activity 1: Solve for the unknown. Show your complete solution
1.) 40x - 24 = 56
2.) 7y + 46 = 81
3.) 16a = 4a + 60
4.) 8x = 2x + 60
5.) x - 1 = 12
Extra:
5b + 6 = 41
please answer it.
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Answer with step by step solution and checking:
1.) 40x - 24 = 56
40x = 56 + 24
40x = 80
40x ÷ 40 = 80 ÷ 40
x = 2
checking: x = 2
40x - 24 = 56
40(2) - 24 = 56
80 - 24 = 56
56 = 56
2.) 7y + 46 = 81
7y = 81 - 46
7y = 35
7y ÷ 7 = 35 ÷ 7
y = 5
checking: y = 5
7y + 46 = 81
7(5) + 46 = 81
35 + 46 = 81
81 = 81
3.) 16a = 4a + 60
16a - 4a = 60
12a = 60
12a ÷ 12 = 60 ÷ 12
a = 5
checking: a = 5
16a = 4a + 60
16(5) = 4(5) + 60
80 = 20 + 60
80 = 80
4.) 8x = 2x + 60
8x - 2x = 60
6x = 60
6x ÷ 6 = 60 ÷ 6
x = 10
checking: x = 10
8x = 2x + 60
8(10) = 2(10) + 60
80 = 20 + 60
80 = 80
5.) x - 1 = 12
x = 12 + 1
x = 13
checking: x = 13
x - 1 = 12
13 - 1 = 12
12 = 12
EXTRA.)
5b + 6 = 41
5b = 41 - 6
5b = 35
5b ÷ 5 = 35 ÷ 5
b = 7
checking: b = 7
5b + 6 = 41
5(7) + 6 = 41
35 + 6 = 41
41 = 41
Step by step solution but with step by step explanation:
1.) 40x - 24 = 56
let's move the constant to the right side but change the sign (negative to positive or positive to negative " - to + or + to -")
40x = 56 + 24
Add them
40x = 80
this is not the final answer, the last step is to divide the both side by the coefficient (the Number with a letter or 40x but remove the letter x)
40x ÷ 40 = 80 ÷ 40
divide them, but when your dividing the coefficient (with letter or "40x") and the constant (without letter or "40") the answer is 1x right? no its x because x means 1
x = 2
and done that's the final answer
2.) 7y + 46 = 81
again, let's the constant to the right side but change the sign
7y = 81 - 46
subtract them
7y = 35
again it's not the final answer, use the last step.
7y ÷ 7 = 35 ÷ 7
now divide them
y = 5
and done!
3.) 16a = 4a + 60
look at the letter next to 16 and 4, they have the same letter! before, when the constant is from the left side, we move it from the right side and changed the sign because you can't calculate constant with coefficient, but this problem is different, now let's move the coefficient to the left side and change the sign
16a - 4a = 60
subtract them (by the way, you can calculate coefficient to coefficient only if they had the same letters next to them)
12a = 60
you know the last step right? divide the both sides by the coefficient but remove the letter
12a ÷ 12 = 60 ÷ 12
Divide them
a = 5
that's the final answer
4.) 8x = 2x + 60
same as the no. 3, you know the step right?
8x - 2x = 60
subtract them
6x = 60
divide the both sides by the coefficient but remove the letter
6x ÷ 6 = 60 ÷ 6
divide them
x = 10
the final answer!
5.) x - 1 = 12
you know the step right? move the constant to the right but change the sign
x = 12 + 1
add them
x = 13
finish!
EXTRA.)
5b + 6 = 41
OK you already know the step, move the constant to the right side but change the sign
5b = 41 - 6
subtract them
5b = 35
again you already know the last step, divide the both sides by the coefficient but remove the letter
5b ÷ 5 = 35 ÷ 5
divide them
b = 7
do you have more questions? ask it in the comments