One-step equations
Two Step Equations
Combining Like Terms
Using Distributive Property
Potpourri
100
Solve for x. x + 2 = 5
What is 3? x + 2 = 5 -2 -2 x = 3
100
Solve for x. 2x + 4 = 6
What is 1? 2x + 4 = 6 - 4 -4 2x = 2 Divide each side by 2. 2 divided by 2 = 1.
100
Solve for x. 4x + 2x = 36
What is 6? You must combine like terms first. 4x + 2x = 6x New equation is 6x = 36 Since x is being multiplied by 6, we must divide both sides by 6. 36 divided by 6 = 6
100
Solve for x. 3(x + 2) = 12
What is 2? First you must apply the distributive property by multiplying 3 to every term in the parenthesis. 3x x = 3x and 3 x 2 = 6. New equation is 3x + 6 = 12 - 6 -6 3x = 6 Since x is being multiplied by 3, we must divide both sides 3. 6 divided by 3 = 2
100
A letter that represents a number in an equation. Hint: It is the "x" in the following equation: x + 1 = 2
What is a variable?
200
13x = 26
What is 2? 13x = 26 divide 13 on both sides 13 divided by 26 = 2
200
Solve for x. 7x + 3 = 31
What is 4? 7x + 3 = 31 - 3 - 3 7x = 28 Since x is being multiplied by 7, you must divide each side by 7. 28 divided by 7 = 4
200
Solve for x. 9x - 7x - 5 = 17
What is 11? You must combine like terms first. 9x - 7x = 2x New equation is 2x - 5 = 17 +5 +5 2x = 22 Since x is being multiplied by 2, we must divide both sides by 2. 22 divided by 2 = 11
200
Solve for w. 5(w - 3) = 45
What is 12? First we must apply the distributive property by multiplying 5 by each term in the parenthesis. 5 x w = 5w. 5 x -3 = - 15. New equation: 5w - 15 = 45 +15 +15 5w = 60 Since w is being multiplied by 5, you must divide each side by 5. 60 divided by 5 = 12.
200
A number all by itself in an equation Hint: It is the 1 and 2 in the following equation. x + 1 = 2
What is a constant?
300
Solve for x. x/4 = 12
What is 48? Since x is divided by 4, we must do the opposite and multiply both sides by 4. 12 x 4 = 48
300
Solve for z. -3z - 7 = 23
What is -10? -3z - 7 = 23 +7 +7 -3z = 30 Since z is being multiplied by -3, you must divide each side by -3. 30 divided by -3 = -10
300
Solve for w. 7w - 3w + 4w = -16
What is -2? First you must combine like terms. 7w - 3w + 4w = 8w New equation is 8w = -16. Since w is being multiplied by 8, we must divide both sides by 8. -16 divided by 8 = -2.
300
Solve for w. 5(2w - 7) = 65
What is 10? First, you must apply the distributive method by multiplying 5 by each of the terms in the parethesis. 5 x 2w = 10w and 5 x -7 = -35 New equation: 10w - 35 = 65 +35 +35 10w = 100 Since w is being multiplied 10, we must divide each side by 10. 100 divided by 10 = 10.
300
It is the number that is multiplied by a variable in an equation. Hint: It is the 4 in the following equation: 4a = 16
What is a coefficient?
400
Solve for y. y + 10 = 3
What is -7? y + 10 = 3 - 10 -10 y = -7
400
Solve for x. 11 - 7x = 18
What is -1? 11 - 7x = 18 -11 -11 -7x = 7 Since x is being multiplied by -7, we must divide each side by -7. 7 divided by -7 = -1.
400
Solve for a. 4a + 5 - 3a = -27
What is -32? First we must combine like terms. 4a - 3a = a New equation. a + 5 = -27 - 5 - 5 a = -32
400
Solve for y. 6(y + 4) = 2(y + 8)
What is -2? First we must apply the distributive property TWICE. 1. 6 x y = 6y and 6 x 4 = 24 2. 2 x y = 2y and 2 x 8 = 16 New equation. 6y + 24 = 2y + 16 -2y -2y 4y + 24 = 16 - 24 = -24 4y = -8 Since y is being multiplied by 4, divide each side by 4. -8 divided by 4 = -2
400
Solve for y. 3y + 5 ______ = -5 8
What is -15? Because the entire left side of the equation is being divided by 8, we must multiply both sides of the equation by 8. New equation: 3y + 5 = -5(8) 3y + 5 = -40 - 5 - 5 3y = -45 Since y is being multiplied by 3, you must divide both sides by 3. -45 divided by 3 = -15.
500
Solve for z. -3z = 39
What is -13? Since z is being multiplied by -3, we must do the opposite and divide each side by -3. 39 divided by -3 = -13
500
Solve for x. -6 + x/3 = 3
What is 27? -6 + x/3 = 3 +6 +6 x/3 = 9 Since x is being divided by 3, we must multiply each side by 3. 9 x 3 = 27
500
Solve for m. 6m - 7 - 4m - 16 = -23
What is 0? First you must combine like terms. 6m - 4m = 2m AND -7 - 16 = -23 New equation is 2m - 23 = -23 +23 +23 2m = 0 Since m is multiplied by 2, we must divide both sides by 2. 0 divided by 2 = 0
500
Solve for w. 5(y - 3) = 8(y + 6)
What is -21? First we must apply the distributive property TWICE. 1. 5 x y = 5y and 5 x -3 = -15 2. 8 x y = 8y and 8 x 6 = 48 New equation: 5y - 15 = 8y + 48 -5y -5y - 15 = 3y + 48 - 48 - 48 - 63 = 3y Since y is being multiplied by 3, you must divide both sides by 3. -63 divided by 3 = -21
500
Solve for m. -8m - 9(5 - 3m) =12
What is 3? First, you must apply the distributive property by multiplying -9 by each term in parenthesis. -9 x 5 = -45 and -9 x -3m = 27m New equation: -8m - 45 + 27m = 12 Then, combine like terms. -8m + 27m = 19m New equation: 19m - 45 = 12 +45 +45 19m = 57 Since m is being multiplied by 19, you must divide each side by 19. 57 divided by 19 = 3.
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