Linear Equations
Variables on Both Sides
What's the Number?
Potpourri
100
Solving Equations
4x + 3 = 7
x = 1
100
Solving Equations
5n - 2 = 8n - 14
n = 4
100
These three consecutive numbers add up to 42
13, 14, and 15
100
Number of solutions in this equation:
4x + 6 = 2(2x + 3)
Infinite Solutions
200
Solving Equations
4(6 + 5x) = 124
x = 5
200
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
200
These three consecutive numbers add to 132
43, 44, and 46
200
Three times a number plus four times the same number minus eight equals forty one.
This is the number.
7
300
Solving Equations
-108 = -8(x + 6) - 4
x = 7
300
Solving Equations
6(6n - 2) = 8n - 40
n = -1
300
These two consecutive even numbers add up to 26
12 and 14
300
Number of solutions in this equation:
6x - 5 = 2(3x + 4)
No Solutions
400
Solving Equations
172 = 5(4a + 6) + 2
a=7
400
Solving Equations
5x + 5 + 4x = 4 - 3x + 6
x= 5/12 or x= 0.41667
400
These two consecutive even numbers add up to 74
36 and 38
400
Six times the sum of a number and five equals sixteen times the same number.
This is the number.
3
500
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
500
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
500
These three consecutive odd numbers add up to 57
17, 19, and 21
500
On the triangle below, one leg is 5x-7 and the other leg is 2x+14. Since they are equal to each other, this is the value of one side.
28 units