A variable is a letter, for example x, y or z, that represents an unspecified number.
6 + x = 12
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
If you would like to know the price Jay can pay the manufacturer for the blow up bed, you can calculate this using the following steps:
100% + 40% = 140%
140% of x is $299
140% * x = 299
140/100 * x = 299 /*100/140
x = 299 * 100 / 140
x = $213.6
40% of $213.6 = 40% * 213.6 = 40/100 * 213.6 = 85.44
$213.6 + $85.44 = $299
The correct result would be $213.6.
x + y = 52
x = y - 18
Adding,
2x + y = 52 + y - 18
2x = 34
x = 17
y = x + 18 = 35
Check: x+y = 17+35 = 52, good
Answer: 17 and 35
He’s 1.5 away from his original starting
Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.
Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.
Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.
Have an awesome day! :)