Study sets matching "algebra solving equations inequalities"

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Study sets matching "algebra solving equations inequalities"

20 terms
Algebra 1 - Unit 2 - Solving Equations and Inequalities
equation
solution of an equation
isolate the variable
inverse operations
mathematical statement that two expressions are equal
a value of the variable that makes the equation true
a variable is isolated when it appears by itself on one side…
operations that "undo" each other...for example addition and…
equation
mathematical statement that two expressions are equal
solution of an equation
a value of the variable that makes the equation true
12 terms
Algebra vocabulary -Solving Equations and Inequalities
Compound Inequality
Cross products
Formula
Identity
Consits of two distinct inequalities joined by the word "and"…
The product are crossed called Cross products
An equation that states a relationship among quantities. Type…
An equation that is true for every possible value of variable
Compound Inequality
Consits of two distinct inequalities joined by the word "and"…
Cross products
The product are crossed called Cross products
12 terms
Algebra 1: Topic 1- Solving Equations and Inequalities
Compound Inequality
Cross Products
Formula
Identity
It consists of two distinct inequalities joined by the word "…
In the proportion a/b=c/d, the products "ad" and "bc" are cal…
is an equation that states a relationship among quantities. F…
is an equation that is true for every possible value of the v…
Compound Inequality
It consists of two distinct inequalities joined by the word "…
Cross Products
In the proportion a/b=c/d, the products "ad" and "bc" are cal…
Solving Equations and Inequalities, Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
10 terms
Algebra - solving quadratic equations and linear inequalities and functions
quadratic equation
quadratic formula
solve an inequality
equivalent inequalities
ax^2 + bx + c = 0... a cannot = 0... two real solutions at most
x = -b +/- √b^2-4ac/ 2a
find all set of values of the variable that make the inequali…
two inequalities that have the same solution set
quadratic equation
ax^2 + bx + c = 0... a cannot = 0... two real solutions at most
quadratic formula
x = -b +/- √b^2-4ac/ 2a
12 terms
Topic 2: Algebra: Solve Equations and Inequalities
Addition Property of Equality
Equation
Multiplication Property of Equality
Subtraction Property of Equality
The property that states that the two sides of an equation re…
A mathematical sentence with equal values on either side of a…
The property that states that the two sides of an equation re…
The property that states that the two sides of an equation re…
Addition Property of Equality
The property that states that the two sides of an equation re…
Equation
A mathematical sentence with equal values on either side of a…
11 terms
Algebra unit 2: solving equations and inequalities
Properties of equality
Reflexive
Symmetric
Transitive
...
A = A
If a=b, then b=a
If a=b and b=c then a=c
Properties of equality
...
Reflexive
A = A
Topic 2: Algebra - Solve Equations and Inequalities
equation
Addition Property of Equality
Subtraction Property of Equlity
Multiplication Property of Equality
a mathematical sentence with equal values on either side of a…
the property that states that the two sides of an equation re…
the property that states that the two sides of an equation re…
the property that states that the two sides of an equation re…
equation
a mathematical sentence with equal values on either side of a…
Addition Property of Equality
the property that states that the two sides of an equation re…
Topic 2: Algebra: Solve Equations and Inequalities
addition property of equality
multiplication property of equality
inverse operation
inequality
If you add the same numbers to each side of an equation, both…
multiplying both sides of an equation by the same number resu…
Operations that undo each other: addition and subtraction or…
A mathematical sentence that contains less than, greater than…
addition property of equality
If you add the same numbers to each side of an equation, both…
multiplication property of equality
multiplying both sides of an equation by the same number resu…
8 terms
Topic 2: Algebra: Solve Equations and Inequalities
addition property of equality
multiplication property of equality
inverse operation
inequality
If you add the same numbers to each side of an equation, both…
multiplying both sides of an equation by the same number resu…
Operations that undo each other: addition and subtraction or…
A mathematical sentence that contains less than, greater than…
addition property of equality
If you add the same numbers to each side of an equation, both…
multiplication property of equality
multiplying both sides of an equation by the same number resu…
10 terms
PPHS Algebra 2: Section 2-1 (Solving Linear Equations and Inequalities)
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
Add the same quantity (amount) to both sides, and the equatio…
Subtract the same quantity (amount) from both sides, and the…
Multiply both sides of an equation by the same quantity (amou…
Divide both sides of an equation by the same quantity (amount…
Addition property of equality
Add the same quantity (amount) to both sides, and the equatio…
Subtraction property of equality
Subtract the same quantity (amount) from both sides, and the…
Topic 2: Algebra: Solve Equations and Inequalities
addition property of equality
multiplication property of equality
inverse operation
inequality
If you add the same numbers to each side of an equation, both…
multiplying both sides of an equation by the same number resu…
Operations that undo each other: addition and subtraction or…
A mathematical sentence that contains less than, greater than…
addition property of equality
If you add the same numbers to each side of an equation, both…
multiplication property of equality
multiplying both sides of an equation by the same number resu…
17 terms
Unit 1: Solving Linear Equations and Inequalities (Algebra IR)
equation
expression
inequality
like terms
a combination of numbers, variables, operation symbols and an…
a combination of numbers, variables, operation symbols
a combination of numbers, variables, operation symbols and an…
terms that have the same variables raised to the same exponents
equation
a combination of numbers, variables, operation symbols and an…
expression
a combination of numbers, variables, operation symbols
19 terms
Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
21 terms
Solving Equations and Inequalities, Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
20 terms
Solving Equations and Inequalities Review
x = 7
x < 5
x >5
x = 1
-2x + 6 = -8
-2x > -10
2x + 10 > 20
-2x - 6 = -8
x = 7
-2x + 6 = -8
x < 5
-2x > -10
12 terms
ALGEBRA: CHAPTER 3 - SOLVING INEQUALITIES
Solution of an inequality
Equivalent inequalities
Roster form
Set-builder notation
Any value or values of a variable in the inequality that make…
Inequalities that have the same set of solutions.
A notation for listing all of the elements in a set using set…
A notation used to describe the elements of a set.
Solution of an inequality
Any value or values of a variable in the inequality that make…
Equivalent inequalities
Inequalities that have the same set of solutions.
20 terms
Solving Inequalities & Absolute Value Equations
Graph <
Graph >
Graph ≤
Graph ≥
Graph <
Graph >
7 terms
Solving Equations & Inequalities
constant
like terms
distribute
coefficient
a term with no variable factor
terms containing the same variable and exponents
to multiply a number by all of the terms inside the parentheses
a number multiplied by a variable in a term
constant
a term with no variable factor
like terms
terms containing the same variable and exponents
SOLVING EQUATIONS & INEQUALITIES
CONSTANT
LIKE TERMS
DISTRIBUTE
COEFFICIENT
A TERM WITH NO VARIABLE FACTOR
TERMS CONTAINING THE SAME VARIABLE AND EXPONENTS
TO MULTIPLY A NUMBER BY ALL OF THE TERMS INSIDE A PARENTHESES
A NUMBER MULTIPLIED BY A VARIABLE IN A TERM
CONSTANT
A TERM WITH NO VARIABLE FACTOR
LIKE TERMS
TERMS CONTAINING THE SAME VARIABLE AND EXPONENTS
6 terms
Algebra 2: Chapter 2 Section 1: Solving Linear Equations and Inequalities
Equation
Solution Set of an Equation
Linear Equation in One Variable
Identity
Mathematical statement that two expressions are equivalent
The value or values of the variable that make the equation true
Can be written in the form ax = b, where a and b are constant…
An equation that is true for all values... Example: x = x
Equation
Mathematical statement that two expressions are equivalent
Solution Set of an Equation
The value or values of the variable that make the equation true
22 terms
Solving Equations and Inequalities
Absolute Value
Coefficients
Consecutive Integers
Elimination
How far away a value is from zero
A number attached to a variable that is multiplied
Whole numbers that go in order
To get rid of
Absolute Value
How far away a value is from zero
Coefficients
A number attached to a variable that is multiplied
20 terms
Solving Equations and Inequalities
x = 0
x = -6
x = 9
No Solution
9x - 7 = -7
2(x + 5) = -2
-9x + 1 = -80
24x - 22 = -4(1 - 6x)
x = 0
9x - 7 = -7
x = -6
2(x + 5) = -2
14 terms
Writing & Solving Equations & Inequalities
-1
no solution
all real numbers
3
Solve: 6(6v +6) - 5 = 1 + 6v
Solve: 12(2k + 11) = 12(2k + 12)
Solve: 2(2x + 3) = 6 + 4x
The perimeter of a rectangle is 42 centimeters. The length of…
-1
Solve: 6(6v +6) - 5 = 1 + 6v
no solution
Solve: 12(2k + 11) = 12(2k + 12)
Solving Equations & Inequalities
8 = 6n + 4 - 8n
-10 - 3b = 6 - 5b
4(5x + 5) = 100
8 - 4(4n - 7) = 132
n = -2
b = 8
x = 4
n = -6
8 = 6n + 4 - 8n
n = -2
-10 - 3b = 6 - 5b
b = 8
19 terms
Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
Solving Equations and Inequalities, Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
13 terms
Pre-Algebra Solving Equations
Additive Identity
Multiplicative Identity
Equivalent Numerical Expressions
Equivalent Variable Expressions
the sum of any number and zero is equal to the number
the product of any number and one is equal to the number
Expressions using only numbers that have the same solution
Expressions using variables that have the same solution
Additive Identity
the sum of any number and zero is equal to the number
Multiplicative Identity
the product of any number and one is equal to the number
20 terms
Solving Inequalities & Absolute Value Equations
Graph <
Graph >
Graph ≤
Graph ≥
Graph <
Graph >
12 terms
Unit 2 - Solving Equations and Inequalities
Equivalent Expressions
Formula
Identity
Inequality
Expressions that simplify to an equal value when numbers are…
A literal equation that states a rule for a relationship amon…
An equation that is true for all values of the variables.
The relation between two expressions that are not equal, empl…
Equivalent Expressions
Expressions that simplify to an equal value when numbers are…
Formula
A literal equation that states a rule for a relationship amon…
22 terms
Solving Equations and Inequalities Vocabulary
Additive Inverse
Coefficients
Constant
Distributive Property
Two numbers whose sum is 0. (example 3 and -3 are additive in…
A number that is multiplied by a variable.
A number that does not change.
The property that states that if you multiply a sum by a numb…
Additive Inverse
Two numbers whose sum is 0. (example 3 and -3 are additive in…
Coefficients
A number that is multiplied by a variable.
Solving Equations and Inequalities
Addition Property of equality
Addition Property of Inequality
Coefficient
Division Property of Inequality
...
...
...
...
Addition Property of equality
...
Addition Property of Inequality
...
12 terms
Solving Equations and Inequalities
x = -7
x = -11
x = 5
x = -4
-3x - 4x = 35
5x + 4 = 3x - 18
6(x - 3) = 12
7(2x + 1) = 9x -13
x = -7
-3x - 4x = 35
x = -11
5x + 4 = 3x - 18
12 terms
Solving Equations and Inequalities Vocabulary
Inequality
Less than
Greater than
Not equal to
A mathematical statement formed by placing an inequality symb…
Smaller in size, quantity, or amount; the symbol < stands for…
More than in size, quantity, or amount; the symbol > stands f…
It's when the two numbers are not equal.
Inequality
A mathematical statement formed by placing an inequality symb…
Less than
Smaller in size, quantity, or amount; the symbol < stands for…
15 terms
Solving Equations and Inequalities Review
1/4
20
-3
a = e/c + b
8m + 7 = 4m + 8
Solve for n
solve for x
Solve for a, c(a - b) = e
1/4
8m + 7 = 4m + 8
20
Solve for n
Solving Equations & Inequalities
equivalent equations
inverse operation
base of a triangle
height of a triangle
equations that have the same solution
an operation that "undoes" another operation
any side of a triangle
perpendicular distance from a base to its opposite vertex
equivalent equations
equations that have the same solution
inverse operation
an operation that "undoes" another operation
Solving Equations and Inequalities Review
x = 7
x < 5
x >5
x = 1
-2x + 6 = -8
-2x > -10
2x + 10 > 20
-2x - 6 = -8
x = 7
-2x + 6 = -8
x < 5
-2x > -10
Solving Equations and Inequalities Vocabulary
Inequality
Less than
Greater than
Not equal to
A mathematical statement formed by placing an inequality symb…
Smaller in size, quantity, or amount; the symbol < stands for…
more than in size, quantity, or amount
Two numbers are not equal.
Inequality
A mathematical statement formed by placing an inequality symb…
Less than
Smaller in size, quantity, or amount; the symbol < stands for…
16 terms
Solving Equations and Inequalities Review
x = 7
x < 5
x >5
x = 1
-2x + 6 = -8
-2x > -10
2x + 10 > 20
-2x - 6 = -8
x = 7
-2x + 6 = -8
x < 5
-2x > -10
12 terms
Solving Equations and Inequalities Vocabulary
Inequality
Less than
Greater than
Not equal to
A mathematical statement formed by placing an inequality symb…
Smaller in size, quantity, or amount; the symbol < stands for…
More than in size, quantity, or amount; the symbol > stands f…
It's when the two numbers are not equal.
Inequality
A mathematical statement formed by placing an inequality symb…
Less than
Smaller in size, quantity, or amount; the symbol < stands for…
Algebra Unit 3 Solving Inequalities
Compound Inequality
Equivalent Inequalities
Intersection
Interval Notation
Two inequalities that are joined by and or or.
Inequalities that have the same set of solutions.
The set of elements that are common in two or more sets.
A notation for describing an interval on a number line. The i…
Compound Inequality
Two inequalities that are joined by and or or.
Equivalent Inequalities
Inequalities that have the same set of solutions.
24 terms
Solving Linear Equations & Inequalities
3x + 23 = 59
2 angles of a triangle measure 48 and…
-14 = 3x - 2
-2(x + 1) + 4x + 5 simiplified
x = 12
15
x = -4
2x + 3
3x + 23 = 59
x = 12
2 angles of a triangle measure 48 and…
15
Solving Equations and Inequalities
x = 0
x = -6
x = 9
No Solution
9x - 7 = -7
2(x + 5) = -2
-9x + 1 = -80
24x - 22 = -4(1 - 6x)
x = 0
9x - 7 = -7
x = -6
2(x + 5) = -2
12 terms
Solving Equations and Inequalities Vocabulary
Inequality
Less than
Greater than
Not equal to
A mathematical statement formed by placing an inequality symb…
Smaller in size, quantity, or amount; the symbol < stands for…
More than in size, quantity, or amount; the symbol > stands f…
It's when the two numbers are not equal.
Inequality
A mathematical statement formed by placing an inequality symb…
Less than
Smaller in size, quantity, or amount; the symbol < stands for…
Solving Quadratic Equations and Inequalities
x = -5; x = -7
x = -11; x = 7
[-6, 5]
x = -2; x = 3
x² + 12x + 35 = 0
x² + 4x - 77 = 0
x² + x - 30 ≤ 0
2x² - 2x - 12 = 0
x = -5; x = -7
x² + 12x + 35 = 0
x = -11; x = 7
x² + 4x - 77 = 0
8 terms
Solving Equations and Inequalities Vocab
variable
isolate the variable
solution set
solution
a letter or symbol that represents a changeable or unknown va…
to move the variable to one side of the equation and all the…
a set of values that can make a statement true
a value you could put in place of a variable that would make…
variable
a letter or symbol that represents a changeable or unknown va…
isolate the variable
to move the variable to one side of the equation and all the…
14 terms
Solving Equations & Inequalities
equivalent numerical expressions
equivalent variable expressions
coefficient
constant term
numerical expressions that have the same value (71)
variable expressions that have the same value for all values…
the number part of a term with a variable (78)
a term that has a # but no variable (78)
equivalent numerical expressions
numerical expressions that have the same value (71)
equivalent variable expressions
variable expressions that have the same value for all values…
21 terms
Algebra 1 EOC RC3:WRITING AND SOLVING LINEAR FUNCTIONS ,EQUATIONS , AND INEQUALITIES
Domain of a function
Elimination
Independent variable
Output
all the possible x-values of a function (The domain of this s…
used to solve a system of equations by adding the two equatio…
the variable (input) that determines the dependent variable (…
the y-values (range) of a situation (6 and 6.50 are the outpu…
Domain of a function
all the possible x-values of a function (The domain of this s…
Elimination
used to solve a system of equations by adding the two equatio…
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