Study sets matching "algebra solving equations"

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Study sets matching "algebra solving equations"

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
27 terms
ALGEBRA: CHAPTER 2 - SOLVING EQUATIONS
Equivalent equations
Addition property of equality
Subtraction property of equality
Isolate
Equations that have the same solution.
Adding the same number to each side of an equation produces a…
Subtracting the same number from each side of an equation pro…
Using properties of equality and inverse operations to get a…
Equivalent equations
Equations that have the same solution.
Addition property of equality
Adding the same number to each side of an equation produces a…
6 terms
Solving Equations - Algebra
Equation
Variable
Solution
Operation
A mathematical sentence that has an equal sign.
A letter used to represent one or more numbers,
A value or values we can put in place of a variable (such as…
A mathematical process. The most popular are add, subtract, m…
Equation
A mathematical sentence that has an equal sign.
Variable
A letter used to represent one or more numbers,
Algebra 2 solving equations
What is the opposite of addition
What is the opposite of division
What do you do first: 2x - 5 = 7
What do you do first: a/-4 + 8 = 32
subtraction
multiplication
add 5
subtract 8
What is the opposite of addition
subtraction
What is the opposite of division
multiplication
20 terms
Algebra Review: Solving Equations #8
x = 4
x = -3
x = 0
x = 1/3
7x + 8 = 36
-3x - 11 = -2
4x - 13 = -13
6x - 4 = -2
x = 4
7x + 8 = 36
x = -3
-3x - 11 = -2
12 terms
Algebra 1 Solving Equations
-18
119
7
-19
-5x = 90
x/17 = 7
-13 = x - 20
16 + x = -3
-18
-5x = 90
119
x/17 = 7
12 terms
Algebra Unit 2 Solving Equations
Equivalent Equations
Addition Property of Equality
Subtraction Property of Equality
Isolate
Equations that have the same solution
The property that states that if you add the same number to b…
The property that states that if you subtract the same number…
Using properties of equality and inverse operations to get a…
Equivalent Equations
Equations that have the same solution
Addition Property of Equality
The property that states that if you add the same number to b…
8 terms
Algebra - solving linear equations
solve an equation
equivalent equations
linear equation
linear equation with two variables
find values that satisfy the equation
two equations that have the same solutions
one or more variables in which each term in the equation is e…
solved by an ordered pair; (x,y)
solve an equation
find values that satisfy the equation
equivalent equations
two equations that have the same solutions
35 terms
Algebra Chapter 1 Solving Equations
deductive reasoning
variable
expression
equation
reasoning by making logical steps to arrive at a conclusion
a symbol representing an unknown quantity
a math representation with numbers or variables using add, su…
a math representation with two expressions that are equal to…
deductive reasoning
reasoning by making logical steps to arrive at a conclusion
variable
a symbol representing an unknown quantity
20 terms
Solving Algebra Equations
0
2
3
4
0
2
23 terms
solving equations pre-algebra
Addition Property of Equality
Additive Inverse Property
Additive Identity Property
Multiplication Property of Equality
You can add/subtract the same number to both sides of the equ…
opposites add to be zero
the sum of any number and zero is that number
You can multiply/divide the same number to both sides of the…
Addition Property of Equality
You can add/subtract the same number to both sides of the equ…
Additive Inverse Property
opposites add to be zero
23 terms
solving equations pre-algebra
Addition Property of Equality
Additive Inverse Property
Additive Identity Property
Multiplication Property of Equality
You can add/subtract the same number to both sides of the equ…
opposites add to be zero
the sum of any number and zero is that number
You can multiply/divide the same number to both sides of the…
Addition Property of Equality
You can add/subtract the same number to both sides of the equ…
Additive Inverse Property
opposites add to be zero
12 terms
Solving Polynomial Equations Algebraically
Solve, finding all complex roots.... 27x³…
Solve, finding all complex roots.... x³+8=0
Solve, finding all complex roots.... 27x³…
Solve, finding all complex roots.... x⁴-2…
Solve, finding all complex roots.... 27x³…
Solve, finding all complex roots.... x³+8=0
10 terms
Algebra I Solving Linear Equations
Inverse Operations
Equivalent Equations
Identity
Ratio
Two operations that undo each other.
Equations that have the same solutions.
An equation that is true for all values of the variable.
A comparison of two numbers using division.
Inverse Operations
Two operations that undo each other.
Equivalent Equations
Equations that have the same solutions.
ALGEBRA II Solving Equations
An isosceles triangle has two sides of…
Three times a number, x, increased by…
Five times a number decreased by nine…
When 122 is decreased by five times a…
3x-6=45
3x+4=5x
5x - 9 = 2x + 23
17
An isosceles triangle has two sides of…
3x-6=45
Three times a number, x, increased by…
3x+4=5x
10 terms
Solving Algebraic Equations 1
x - 5 = 6
21 + x = 30
3x = 21
30/x = 5
x = 11
x = 9
x = 7
x = 6
x - 5 = 6
x = 11
21 + x = 30
x = 9
Solving Algebra Equations
0
2
3
4
0
2
11 terms
Steps for solving algebraic equations
Step 1.
Step. 2
Step. 3
Step. 4
eliminate parentheses or grouping symbols.
eliminate fractions/decimals if there are many in the problem
combine like terms on the same side of the equation
if there variables in both sides of the equation, move the va…
Step 1.
eliminate parentheses or grouping symbols.
Step. 2
eliminate fractions/decimals if there are many in the problem
Steps for solving algebraic equations
Step 1.
Step. 2
Step. 3
Step. 4
eliminate parentheses or grouping symbols.
eliminate fractions/decimals if there are many in the problem
combine like terms on the same side of the equation
if there variables in both sides of the equation, move the va…
Step 1.
eliminate parentheses or grouping symbols.
Step. 2
eliminate fractions/decimals if there are many in the problem
11 terms
Algebra II Solving Systems of equations
linear equations in 2 variables
Solution of a system of 2 linear equat…
Substitution method
Linear Combination/Elimination method
consists of two linear equations in two variable
an ordered pair (x,y) that satisfies each equation of the sys…
1. Solve 1 of the equation for a variable. 2. Substitute the…
1. Multiply 1 or both of the equations by a constant to obtai…
linear equations in 2 variables
consists of two linear equations in two variable
Solution of a system of 2 linear equat…
an ordered pair (x,y) that satisfies each equation of the sys…
Solving Algebra Equations
0
1
2
-2
0
1
16 terms
Solving equations: Algebra 1 Review
x = 36
x = 11
x = 13
x = 25
2(2x + 1) = 146
5(x + 1) = 60
3x + 4 - 13 = 30
2x + x - 69 = 6
x = 36
2(2x + 1) = 146
x = 11
5(x + 1) = 60
15 terms
Solving Equations-PreAlgebra
3
0
-2
2
-2 = 4 - 2x
7 = 3y + 7
5x - 3 = -13
4 = ½ m + 3
3
-2 = 4 - 2x
0
7 = 3y + 7
5 terms
Solving Algebraic Equations
Solve for x:... X + 24 = 60
Solve for y:... y - 15 = 89
Solve for x:... x - 18 = 92
Solve for x:... 6x = 72
x = 36
y = 114
x = 110
x = 12
Solve for x:... X + 24 = 60
x = 36
Solve for y:... y - 15 = 89
y = 114
11 terms
Algebra: Solving Linear Equations
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
a+b=b+a
a x b = b x a
(a + b) + c = a + (b + c)
(a x b) x c = a x (b x c)
Commutative property of addition
a+b=b+a
Commutative property of multiplication
a x b = b x a
Solving Algebraic Equations
2X + 5 = 15
X/3 - 7 = 5
Whatever you do to one side of the equ…
Inverse operations
First subtract 5 from both sides of equation to get 2X = 10,…
First add 7 to both sides of the equation to get X/3 = 12, th…
You must do to the other side of the equation
operations that undo each other: addition is the inverse of s…
2X + 5 = 15
First subtract 5 from both sides of equation to get 2X = 10,…
X/3 - 7 = 5
First add 7 to both sides of the equation to get X/3 = 12, th…
28 terms
Solving Equations practice pre-algebra
x ÷ 7 = 5
11 = x + 7
8 + x = 19
4 = x + 2
x = 35
x = 4
x = 11
x = 2
x ÷ 7 = 5
x = 35
11 = x + 7
x = 4
Algebra- Solving Equations
Identity
Equation
Multiplication property of equality
Inductive reasoning
An equation that is true for all values of the variable
A number sentence that uses the equal sign (=) to show that t…
Both sides of an equation can be multiplied by the same nonze…
Making conclusions based on observed patterns
Identity
An equation that is true for all values of the variable
Equation
A number sentence that uses the equal sign (=) to show that t…
12 terms
ALGEBRA II Solving Equations
An isosceles triangle has two sides of…
Three times a number, x, increased by…
Five times a number decreased by nine…
When 122 is decreased by five times a…
18.5 cm
3x+4=5x
5x - 9 = 2x + 23
17
An isosceles triangle has two sides of…
18.5 cm
Three times a number, x, increased by…
3x+4=5x
22 terms
Pre-Algebra Ch. 2 solving equations vocabulary
Addition Property of Equality
Additive Inverse Property
Additive Identity Property
Multiplication Property of Equality
You can add/subtract the same number to both sides of the equ…
opposites add to be zero
the sum of any number and zero is that number
You can multiply/divide the same number to both sides of the…
Addition Property of Equality
You can add/subtract the same number to both sides of the equ…
Additive Inverse Property
opposites add to be zero
14 terms
algebra solving equations
cummunative
identity of addition
associative
identity of multiplication
a+b=b+a ex/ 5+3=3+5
a+0=a ex/ 5+0=5
a+b+c=a+(b+c)
a•1=a
cummunative
a+b=b+a ex/ 5+3=3+5
identity of addition
a+0=a ex/ 5+0=5
Solving Algebraic Equations
7 + x = 15
x + 23 = 64
8 + x = 16
x - 2 = 10
x=8
x=41
x=8
x=12
7 + x = 15
x=8
x + 23 = 64
x=41
5 terms
Solving Algebraic Equations
First Step
Second Step
Third Step
Fourth Step
Should I distribute? (yes/no)
Should I combine like terms? (yes/no)
Move all variables to one side of the equation (use inverse o…
Move all numbers to the other side of the equation (use inver…
First Step
Should I distribute? (yes/no)
Second Step
Should I combine like terms? (yes/no)
Solving Systems of Equations Algebraically
Solve the following system using elimi…
Solve the following system using elimi…
Solve the following system using elimi…
Solve the following system using subst…
(6, 1)
(1, -1)
(-3, 2_
(5, 1)
Solve the following system using elimi…
(6, 1)
Solve the following system using elimi…
(1, -1)
13 terms
Solving Systems of Equations Algebraically
Solves each system of equations.... 4x +…
Find the approximate solution of the g…
Megan exercises every morning for 40 m…
All 28 members in Crestview High Schoo…
(3.96, -1.3) (B)
(3.36, -1.99) (A)
25 min aerobics... 15 min stretching (D)
18 members rented skis... 10 members rented snowboards (C)
Solves each system of equations.... 4x +…
(3.96, -1.3) (B)
Find the approximate solution of the g…
(3.36, -1.99) (A)
40 terms
Algebra Equation Solving
2x - 10 = 16
8 = 8v - 4(v +8)
-13 = 5(1 + 4m) - 2m
a - 2 + 3 = -2
x = 13
10 = v
1 = m
a = -3
2x - 10 = 16
x = 13
8 = 8v - 4(v +8)
10 = v
5 terms
Algebra (SOLVING EQUATIONS)
One-Step Equations ... EQUATION... e.g. x+3=5
Two-Step Equations ... EQUATION ... e.g. 2x-…
Equations with Brackets... EQUATION ... e.g.…
Collect like terms and solve ... EQUATION…
One-Step Equations... WORKING... x+3=5... x=5-3 (-3)... x=2
Two-Step Equations... WORKING... 2x-4=10... 2x=10+4 (+4)... 2x=14... x=14…
Equations with Brackets... WORKING... 3(x+1)=12... 3x + 3=12... 3x=12-3…
Collect like terms and solve... WORKING... 2x+3x+4=8... 5x+4=8... 5x=8-…
One-Step Equations ... EQUATION... e.g. x+3=5
One-Step Equations... WORKING... x+3=5... x=5-3 (-3)... x=2
Two-Step Equations ... EQUATION ... e.g. 2x-…
Two-Step Equations... WORKING... 2x-4=10... 2x=10+4 (+4)... 2x=14... x=14…
Algebraic Expressions/Solving Equations
Variable
Algebraic expression/ variable express…
Evaluate
Term
is a symbol
an expression that contains one or more variables
Substituting numbers
is a number, variable, or the product of a number and one or…
Variable
is a symbol
Algebraic expression/ variable express…
an expression that contains one or more variables
13 terms
Solving Equations-PreAlgebra
3
0
-2
2
-2 = 4 - 2x
7 = 3y + 7
5x - 3 = -13
4 = ½ m + 3
3
-2 = 4 - 2x
0
7 = 3y + 7
26 terms
Algebra Review: Solving Equations #2
x = 35
x = 10
x = 11
x = 20
x / 7 = 5
17 = x + 7
8 + x = 19
24 = x + 4
x = 35
x / 7 = 5
x = 10
17 = x + 7
Algebra Review on Solving Equations
(x-2)/3 = x/5
3x + 8 = -2(x - 5)
5x - 13 + 4x = 16
(2x)/7 = (x - 3)/5
5
0.4
3.22
-7
(x-2)/3 = x/5
5
3x + 8 = -2(x - 5)
0.4
12 terms
Solving Algebraic Equations
7 + x = 15
x + 23 = 64
8 + x = 16
x - 2 = 10
x=8
x=41
x=8
x=12
7 + x = 15
x=8
x + 23 = 64
x=41
Solving equations: Algebra 1 Review
x = 36
x = 11
x = 13
x = 25
2(2x + 1) = 146
5(x + 1) = 60
3x + 4 - 13 = 30
2x + x - 69 = 6
x = 36
2(2x + 1) = 146
x = 11
5(x + 1) = 60
18 terms
Algebra 2 - Solving Quadratic Equations
x = -5; x = -7
x = -11; x = 7
x = -3; x = -4
x = 5; x = -6
x² + 12x + 35 = 0
x² + 4x - 77 = 0
x² + 7x + 12 = 0
x² + x - 30 = 0
x = -5; x = -7
x² + 12x + 35 = 0
x = -11; x = 7
x² + 4x - 77 = 0
18 terms
Algebra Review: Solving Equations #4
x = -12
x = -13
x = -14
x = -6
10x = -120
4 = x + 17
-21 = x - 7
50 = -5(-4 + x)
x = -12
10x = -120
x = -13
4 = x + 17
Solving Algebraic Equations - 1 step
7 + x = 15
x + 23 = 64
8 + x = 16
x - 2 = 10
x=8
x=41
x=8
x=12
7 + x = 15
x=8
x + 23 = 64
x=41
12 terms
Solving Linear Equations Algebra 1 Review
-12
-13
-14
-6
10x = -120
4 = x + 17
-21 = x - 7
50 = -5(-4 + x)
-12
10x = -120
-13
4 = x + 17
18 terms
Algebra Review: Solving Equations #3
x = 36
x = 11
x = 13
x = 25
2(2x + 1) = 146
5(x + 1) = 60
3x + 4 - 13 = 30
2x + x - 69 = 6
x = 36
2(2x + 1) = 146
x = 11
5(x + 1) = 60
15 terms
Algebra 1 solving equations vocabulary
Addition Property of Equality
Additive Inverse
Additive Identity
Multiplication Property of Equality
You can add/subtract the same number to both sides of the equ…
opposites add to be zero
the sum of any number and zero is that number
You can multiply/divide the same number to both sides of the…
Addition Property of Equality
You can add/subtract the same number to both sides of the equ…
Additive Inverse
opposites add to be zero
15 terms
Solving equations: Algebra 1 Review
x = 36
x = 11
x = 13
x = 25
2(2x + 1) = 146
5(x + 1) = 60
3x + 4 - 13 = 30
2x + x - 69 = 6
x = 36
2(2x + 1) = 146
x = 11
5(x + 1) = 60
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