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2x = 10
x=5
x - 1 = 10
x = 11
x/4 = 5
x=20
x + 5 = 10
x=5
True or False:
The inverse of a decimal number is a whole number.
False!
x/2 + 1 = 10
Subtract 1 from both sides:
x/2 = 10 - 1
x/2 = 9
Multiply both sides by 2 to isolate x:
x = 18
2x - 1 = 9
Add 1 to both sides:
2x = 9 + 1
2x = 10
Divide both sides by 2 to isolate x:
x = 10 / 2
x = 5
x/6 + 2 = 8
Subtract 2 from both sides:
x/6 = 8 - 2
x/6 = 6
Multiply both sides by 6 to isolate x:
x = 6 * 6
x = 36
x/7 - 3 = 12
Add 3 to both sides:
x/7 = 12 + 3
x/7 = 15
Multiply both sides by 7 to isolate x:
x = 15 * 7
x = 105
True or False:
7x can also be written as 7 times x.
True!
3(2x - 1) = 15
Distribute 3 on the left side:
6x - 3 = 15
Add 3 to both sides:
6x = 15 + 3
6x = 18
Divide both sides by 6 to isolate x:
x = 18 / 6
x = 3
2(4x - 3) = 18
Distribute 2 on the left side:
8x - 6 = 18
Add 6 to both sides:
8x = 18 + 6
8x = 24
Divide both sides by 8 to isolate x:
x = 24 / 8
x = 3
5(2x + 1) = 45
Distribute 5 on the left side:
10x + 5 = 45
Subtract 5 from both sides:
10x = 45 - 5
10x = 40
Divide both sides by 10 to isolate x:
x = 40 / 10
x = 4
2(6x - 2) = 20
Distribute 2 on the left side:
12x - 4 = 20
Add 4 to both sides:
12x = 20 + 4
12x = 24
Divide both sides by 12 to isolate x:
x = 24 / 12
x = 2
True or False:
Algebra equations and algebra expressions are the same thing.
False!
4x + 5 = 2x - 1
Subtract 2x from both sides:
2x + 5 = -1
Subtract 5 from both sides:
2x = -6
Divide both sides by 2 to isolate x:
x = -6 / 2
x = -3
2x - 1 = 4x - 3
Add 3 to both sides:
2x + 2 = 4x
Subtract 2x from both sides:
2 = 2x
Divide both sides by 2 to isolate x:
x = 2 / 2
x = 1
5x + 2 = 3x + 7
Subtract 3x from both sides:
2x + 2 = 7
Subtract 2 from both sides:
2x = 5
Divide both sides by 2 to isolate x:
x = 5 / 2
3x + 6 = 7x - 5
Subtract 3x from both sides:
6 = 4x - 5
Add 5 to both sides:
11 = 4x
Divide both sides by 4 to isolate x:
x = 11 / 4
Nourah is participating in a prize draw where she can win triple the number of tickets she currently has, plus two extra tickets. If the total number of tickets she can have is 17, how many does she have now?
1. Start with the equation: 3x + 2 = 17.
2. Subtract 2 from both sides of the equation to isolate the term with x on the left side:
3x + 2 - 2 = 17 - 2
3x = 15.
3. Now, you need to solve for x by dividing both sides of the equation by 3:
3x / 3 = 15 / 3
x = 5.
She has 5 tickets.
2(5x + 4) = 4(2x + 3)
Apply the distributive property on both sides:
10x + 8 = 8x + 12
Subtract 8x from both sides:
10x - 8x + 8 = 12
Combine like terms:
2x + 8 = 12
Subtract 8 from both sides:
2x = 4
Divide both sides by 2 to isolate x:
x = 4 / 2
x = 2
2(4x - 3) = 3(2x + 1)
Apply the distributive property on both sides:
8x - 6 = 6x + 3
Subtract 6x from both sides:
2x - 6 = 3
Add 6 to both sides:
2x = 9
Divide both sides by 2 to isolate x:
x = 9 / 2
2(6x - 2) = 5(2x + 1)
Apply the distributive property on both sides:
12x - 4 = 10x + 5
Subtract 10x from both sides:
12x - 10x - 4 = 5
Combine like terms:
2x - 4 = 5
Add 4 to both sides:
2x = 9
Divide both sides by 2 to isolate x:
x = 9 / 2
5(4x + 5) = 4(2x + 4)
Apply the distributive property on both sides:
20x + 25 = 8x + 16
Subtract 8x from both sides:
20x - 8x + 25 = 16
Combine like terms:
12x + 25 = 16
Subtract 25 from both sides:
12x = -9
Divide both sides by
x = -9/12
Solve this question and CHECK YOUR WORK!
2(6x - 2) = 20
Distribute 2 on the left side:
12x - 4 = 20
Add 4 to both sides:
12x = 20 + 4
12x = 24
Divide both sides by 12 to isolate x:
x = 24 / 12
x = 2
Checking: 2(6*2 - 2) = 2(12 - 2) = 2(10) = 20 (Correct)