Write the Equation (do not solve)
The sum of 5 and the quotient of a number and 2 equals 11.
(x/2) + 5 = 11
-4(2+3b) + 5b = 13
b = -3
(1/5) + (2/5)x = 3
x = 7
-13 + 2m = 5(1 + 4m)
x = -1
Clara lends half her collection of formal outfits to her sister, Susan. Clara then buys four more outfits. If she has 12 outfits now, how many outfits did Clara had initially?
16 outfits
12 less than a number times 3 is 20.
3x - 12 = 20
2x - 3(2x - 3) + 4 = 33
x = -5
(3/4) + (1/3)x = 1
x = 3/4
-11 - 5a = 6(5a + 4)
a = -1
Angle A and angle B are complementary angles, meaning they total 90 degrees. If angle A is x+4 and angle B is 3x+2, then what is the value of x?
x = 21
19 more than the product of 8 and a number is equal to the product of the same number and 5.
8x + 19 = 5x
-5x + 3(x+1) - 4x = 45
x = -7
(1/8)x + (1/2) = (1/4)
x = -2
10 - 2(-9x + 4) = 12x - 34
x = -6
A = lw
The area of a rectangle is 30in2. Find the value of x if the length of the rectangle is 6x+28 inches and the width is 3 inches.
x = -3
25 minus triple a number is equal to the sum of the same number and 16.
25 - 3x = x +16
5(a+3) + 6(a+1) + 8a = 40
a = 1
x + (1/3) = (1/6)x - (1/2)
x = -1
18 - 5(3x - 1) = 20 - 15x + 11 - 6
no solution
A triangle has three angles of 2x+20, x+10, and 2x-5. If the sum of all three angles in a triangle totals 180 degrees, then what is the value of x?
x = 31
14 less than the quotient of a number and 9 is equal to the product of 5 and the same number minus 10.
(x/9) - 14 = 5x - 10
3(2x+2) - 4(x-5) - 20 = -18
x = -12
-5 + (2/3)x = -7 + (4/6)x + 2
infinitely many solutions
1 - 10n +3(8 + 8n) = 1 - 6(n - 4)
n = 0
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
110 pages