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Ch. 1 Linear and Absolute Value Equations Flashcards | StudBud
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Ch. 1 Linear and Absolute Value Equations
Ch. 1 Linear and Absolute Value Equations
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Use algebraic properties when solving linear and absolute value equations.
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1
identity
An equation that has no solution.
A mathematical sentence that compares quantities.
An equation that is true for all values of the variable.
A mathematical sentence that has no solution.
2
Distance Formula
C = 5/9 (F - 32)
d = rt
V = 4/3 (πr3)
I = Prt
3
Multiplication Property of Equality
If a=b, then a - c = b - c.
If a=b, then a + c = b + c.
If a=b, then a/c = b/c.
If a=b, then ac = bc.
4
1/2 (10 + 12m) = 1/3 (12m + 15)
Extraneous solution.
One solution.
No solution.
Infinite solutions.
5
Simple Interest
V = 4/3 (πr3)
C = 5/9 (F - 32)
d = rt
I = Prt
6
Simple Interest: A=P+\Pr t. Solve for t.
r\left(\frac{A}{P}-1\right)
\frac{A-P}{PR}=t
\frac{A-P}{r}=t
\frac{A-1}{\Pr}=t
7
Temperature Formula
V=4/3 (πr3)
d=rt
C=5∕9 (F -32)
I = Prt
8
literal equation
An equation with two or more variables.
An equation with only one variable.
A multiplication equation.
An equation with no variables.
9
Subtraction Property of Equality
If a=b, then a + c = b + c.
If a=b, then a - c = b - c.
If a=b, then a/c = b/c.
If a=b, then ac = bc.
10
A
theorem
is a proven statement about a general mathematical concept.
False
True
11
equivalent equations
Expressions that are equal.
Expressions that don't have the same solution.
Equations that don't have the same solution.
Equations that have the same solution.
12
Division Property of Equality
If a=b, then a + c = b +c.
If a=b, then a/c = b/c.
If a=b, then ac =bc.
If a=b, then a - c = b - c.
13
A
conjecture
is an unproven statement about a general mathematical concept.
False
True
14
Rule
A proven statement about a general mathematical concept.
A solution that must be rejected because it does not satisfy the equation.
An unproven statement about a general mathematical concept.
An equation that has two or more variables.
15
Addition Property of Equality
If a=b, then a - c = b - c.
If a=b, then ac = bc.
If a=b, then a/c = b/c
If a=b, then a + c = b + c.
16
6(4x + 12) = 8(3x - 14)
One solution.
No solution.
Extraneous solution.
Infinite solutions
17
Inverse Operations
Two operations that undo each other, such as addition and subtraction.
Two operations that equal each other.
Operations that are the same.
The reciprocal of a number.
18
equation
A statement with two expressions that are not equal.
A statement containing numbers.
A statement with symbols.
A statement that has two expressions are equal.
19
16f + 24 = 8(2f + 3)
Extraneous solution.
No solution.
Infinite solution.
One solution.
20
|20x| = |4x + 16|
x = -1; x = 2/3
x = 3/2; x = -1
x = 1; x = -2/3
x = -3/2; x = -1
