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10 questions
Which of the following are basic rules used for solving algebraic equations?
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
16 =11k
The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?
Divide both sides by 11
Multiply both sides by 11.
Add 11 to both sides.
Subtract 11 to both sides.
Solve for y in the following equation:
y ÷ 3 = 12
36
-36
4
-4
Solve for z in the following equation:
z - 33 = 147
z= 114
z = 177
z = 180
No Solution
Solve for h in the following equation:
0 = 4h
h = 0
g = 1
h = 1
g = 0
Which equations has w = 8 as the solution? (can be more than one equation)
8w= 64
16w = 240
8 - w = 16
48 ÷ w = 6
Solve for p in the following equation:
4p = 16
p = 12
p = 64
p = 3
p = 4
Solve for x in the following equation:
−4x = 9
13
36
-36
9−4
Solve for the variable (a) in the following equation:
32 = -8a
4
-4
40
24
In the equation
x + 7 = 12
7 is being added to the variable, x.
How should you show your work to isolate the variable and solve the equation?
Subtract 7 from both sides. The solution is x = 5.
Add 7 to both sides.
The solution is x = 19.
Multiply both sides by 7 The solution is x = 84.
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