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20 questions
The goal of solving linear equations is to: (Pick 2)
Move the constant
Find the value of the variable that makes the statement true
Find the coefficient
Combine like terms
Isolate the variable
What do you call the number being multiplied by the variable (the number in front of a variable)?
Constant
Coefficient
Variable
Equation
Expression
What is the difference between an equation and an expression?
Algebraic expressions DO NOT have variables, but equations do
Algebraic expressions DO NOT have an equal sign and equations do
Expressions and equations are not different, they mean the same thing
Algebraic expressions HAVE an equal sign and equations do not
What are the TWO basic rules for solving algebraic equations? (That means pick 2 answers)
What you do on one side you must do to the other (keep balanced)
Negative signs can be ignored
Always use the opposite/inverse operations to solve
You must start on the left side of the equation
What would be the inverse operation for the problem below?
-8p = 24
Add 8 to both sides
Subtract 24 from both sides
Divide both sides by -8
Divide both sides by 8
What would be the first step to solving the following equation?
-12 + j = 90
Subtract 90 from both sides
Add 12 on both sides
Subtract 12 on both sides
Divide both sides by -12
What would be the SECOND step in solving the equation below?
5x+7 =−12
Subtract 7 from both sides
Add 12 to both sides
Multiply by 5 on both sides
Divide by 5 on both sides
What is the FIRST step in solving the following equation?
-15 = -10 + 5w
Subtract 5 from both sides
add 10 to both sides
subtract 10 from both sides
add 15 to both sides
Divide by 5 on both sides
What are the steps to solving 5y - 6 = 24?
Add 6 to both sides and then divide both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Add 6 to both sides and multiply both sides by 5
Subtract 6 from both sides then divide both sides by 5
Subtract 5 from both sides then divide both sides by -6
In the equation -4p = 20, the variable, p, is being multiplied by -4. What step would you take to isolate the variable?
Add 4 to both sides
Divide by 4 on both sides
Divide by -4 on both sides
Subtract 20 on both sides
9 + g = 12
g = 3
g = 21
g = -3
g = 4/3
Solve
k - 17 = -21
k = -38
k = 4
k = -4
k = 38
Find the value of h that makes the statement true.
6h = -42
h = -48
h = 7
h = -7
h = -252
h = -36
Solve this equation for n.
8n=6
n = -3/4
n = 3/4
n = -48
n = 48
Solve this algebraic equation.
3p + 7 = 19
p = -4
p = 9
p = 4
p = 8.67
Find the value of b that makes this statement true.
23b=210
b = 140
b = 315
b = -140
b = -315
Solve the following equation for h.
5h+13=17
h = 150
h = 20
h = 6
h = 4/5
Find the value of m that makes the equation true.
2m+6=−13
m = -32
m = -20
m = -38
m = -17
Solve the following algebraic equation for e.
3.2e + 2.6 = -23
e = 6.375
e = 8
e = -8
e = -6.375
What would be your first step to solving the following equation?
3(x−5)=15
Distribute to remove parenthesis
Add 5 to both sides
Subtract 3 from both sides
Subtract 15 from both sides
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