Expressions 1 3 3 Worksheets

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For each expression, tell which operation would be completed first, and why.
1. (14 + 2) - 3 + 1 The addition in the Parentheses would come first, 14 + 2
2. 12 + (1 + 24) - 5 The addition in the Parentheses would come first, 1 + 24
3. 12 - [(5 + 2) + (16 - 4)] There are two things in parentheses. 5 + 2 is first left to right.
4. 18 - (5 - 2) + {12 - [1 + (7 - 2)] - (3 + 1)} There are 3 things in parentheses. 5-2 is first.
5. 8 + (15 - 3) The subtraction in the Parentheses is first, 15 - 3
6. 34 - (5 + 35) ÷ 5 The addition in the Parentheses is first, 5 + 35
7. (62 - 4) + (9 - 7) x 3 There are two things in Parentheses, 62 - 4 is first
8. (9 + 5) - 16 ÷ 4 The addition in the Parentheses would come first, 9 + 5
9. 18 - 1 + 7 x 2 There are no Parentheses so Multiplication would be first, 7 x 2
10. 9 x 7 + (7 - 3) The subtraction in the Parentheses would come first, 7 - 3

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Free Worksheets On Algebraic Expressions

Expressions 1 3 3 Worksheets

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From Expressions Worksheets
- By HelpingWithMath.com

Related Resources

The various resources listed below are aligned to the same standard, (5OA02) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation 'add 8 and 7, then multiply by 2' as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Example/Guidance

Worksheet

  • Writing Simple Expressions - Post-assessment (10 questions)

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Write and interpret numerical expressions

  • Grouping Symbols (From Example/Guidance)
  • Order of Operations (From Example/Guidance)
  • Identifying & Adding Parentheses - Pre-assessment (From Worksheet)
  • Evaluating Expressions Worksheet - Practice (From Worksheet)
  • Evaluating Expressions - Post-assessment (10 questions) (From Worksheet)
  • Order of Operations in Expressions - Pre-assessment (From Worksheet)
  • Evaluating Expressions - Post-assessment (10 questions) (From Worksheet)
Related Topics:
Common Core for Mathematics
Common Core Lesson Plans and Worksheets Algebra I


Algebra Overview

Written Expression Worksheet

Seeing Structure in Expressions
Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
Arithmetic with Polynomials and Rational Functions
Perform arithmetic operations on polynomials
Understand the relationship between zeros and factors of polynomials
Use polynomial identities to solve problems
Rewrite rational functions
Creating Equations
Create equations that describe numbers or relationships
Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
Solve equations and inequalities in one variable
Solve systems of equations
Expressions

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From Expressions Worksheets
- By HelpingWithMath.com

Related Resources

The various resources listed below are aligned to the same standard, (5OA02) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation 'add 8 and 7, then multiply by 2' as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Example/Guidance

Worksheet

  • Writing Simple Expressions - Post-assessment (10 questions)

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Write and interpret numerical expressions

  • Grouping Symbols (From Example/Guidance)
  • Order of Operations (From Example/Guidance)
  • Identifying & Adding Parentheses - Pre-assessment (From Worksheet)
  • Evaluating Expressions Worksheet - Practice (From Worksheet)
  • Evaluating Expressions - Post-assessment (10 questions) (From Worksheet)
  • Order of Operations in Expressions - Pre-assessment (From Worksheet)
  • Evaluating Expressions - Post-assessment (10 questions) (From Worksheet)
Related Topics:
Common Core for Mathematics
Common Core Lesson Plans and Worksheets Algebra I


Algebra Overview

Written Expression Worksheet

Seeing Structure in Expressions
Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
Arithmetic with Polynomials and Rational Functions
Perform arithmetic operations on polynomials
Understand the relationship between zeros and factors of polynomials
Use polynomial identities to solve problems
Rewrite rational functions
Creating Equations
Create equations that describe numbers or relationships
Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
Solve equations and inequalities in one variable
Solve systems of equations
Represent and solve equations and inequalities graphically

Seeing Structure in Expressions

Snippetslab 1 9 2 esv. HSA-SSE.A.1
HSA-SSE.A.1a
HSA-SSE.A.1b

Interpret expressions that represent a quantity in terms of its context.
A. Interpret parts of an expression, such as terms, factors, and coefficients.
B. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P.

  • Show Worksheets/Games

HSA-SSE.A.2

Use the structure of an expression to identify ways to rewrite it. For example, see x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 - y2)(x2 + y2).

  • Show Lessons
    Difference of Squares
    Perfect Square Trinomials
    Factor by Grouping
    Factor by Trial & Error
    Factor (Area Model)
  • Show Worksheets/Games
    Algebra Worksheets
    Difference of squares 1
    Difference of squares 2
    Difference of squares 3
    Factor by grouping
    Factor quadratics 1
    Factor quadratics 2
    Linear binomials
    Factor polynomials with two variables
    Radical equations
    Factor Expressions Games

HSA-SSE.B.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

HSA-SSE.B.3a

Factor a quadratic expression to reveal the zeros of the function it defines.

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    Solving quadratics by factoring
    Solving quadratics by factoring 2
    Algebra Games

HSA-SSE.B.3b

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

  • Show Lessons
    Complete the Square (Solve Quadratics)
    Complete the Square (Min, Max)
  • Show Worksheets/Games
    Completing the square 1
    Completing the square 2
    Vertex of a parabola

HSA-SSE.B.3c

Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

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    Geometric Sequence
    Nth Term of a Geometric Sequence

HSA-SSE.B.4

Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

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    Calculate finite geometric series
    Geometric Series Word Problems

Arithmetic with Polynomials and Rational Expressions

HSA-APR.A.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

  • Show Lessons
    Add & Subtract Polynomials
    Multiply Polynomials
  • Show Worksheets/Games
    Add & Subtract Polynomials
    Multiply Binomials 1
    Multiply Binomials 2
    Multiply Polynomials

HSA-APR.B.2

Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).

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    Remainder Theorem
    Remainder Theorem

HSA-APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

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HSA-APR.C.4

Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 - y2)2 + (2xy)2 can be used to generate Pythagorean triples.

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HSA-APR.C.5

(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.

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    Binomial Theorem
    Binomial Theorem

HSA-APR.D.6

Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

  • Show Lessons
    Inspection
    Long Division
    Synthetic Division
    Computer Algebra System
    Comparing Coefficients

HSA-APR.D.7

(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

  • Show Lessons
    Simplify Rational Expressions
    Add & Subtract Rational Expressions
    Multiply & Divide Rational Expressions
  • Show Worksheets/Games
    Simplify
    Simplify
    Simplify
    Add & subtract
    Add & subtract
    Add & subtract
    Multiply & divide
    Multiply & divide
    Multiply & divide

Creating Equations

HSA-CED.A.1

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

  • Show Worksheets/Games
    Modeling with one-variable equations and inequalities
    Create Equations & Inequalities
    Words to Algebra Games

HSA-CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

  • Show Lessons
    Linear Equations
    Quadratic Equations
    Rational Functions
    Exponential Functions
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    Graph Linear Equations
    Solve Quadratic Equations
    Modeling with two-variable equations and graphs
    Equation of Line Games

HSA-CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

  • Show Worksheets/Games
    Modeling constraints with two-variable inequalities
    Systems of Equations Word Problems

HSA-CED.A.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm's law V = IR to highlight resistance R.

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    Manipulate formulas
    Solving equations in terms of a variable
    Rearrange Formulas

HSA-REI.A.1

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

  • Show Lessons
    1-Step Equations
    2-Step Equations
    Multi-Step Equations
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    Understand process for solving linear equations
    Understand process for solving quadratic equations
    Algebra Worksheets
    Equations with variables on both sides
    Algebra Games

HSA-REI.A.2

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

  • Show Worksheets/Games
    Extraneous solutions to rational equations
    Rational equations 1
    Rational equations 2
    Extraneous solutions to radical equations
    Radical Equations

HSA-REI.A.2

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

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    Multi-step linear inequalities
    Compound inequalities

HSA-REI.B.4

Solve quadratic equations in one variable.

HSA-REI.B.4a

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x -p)2 = q that has the same solutions. Derive the quadratic formula from this form.

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    Completing the square 1
    Completing the square 2

HSA-REI.B.4b

Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a + bi for real numbers a and b.

  • Show Lessons
    Solve Quadratic Equations
    Quadratic Formula
    Derive Quadratic Formula
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    Solve quadratics by taking the square root
    Solve quadratics by factoring
    Solve quadratics by factoring 2
    Using the quadratic formula
    Quadratic formula with complex solutions
    Types of solutions to quadratic equations

HSA-REI.C.5

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Lights out 3 2 0 2.

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HSA-REI.C.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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    Systems of Equations Worksheets
    Systems of equations
    Graphing systems of equations
    Systems of equations word problems

HSA-REI.C.7

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.

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HSA-REI.C.8

HSA-REI.C.9

(+) Represent a system of linear equations as a single matrix equation in a vector variable.

(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 נ3 or greater).

  • Show Lessons
    Systems of Equations & Matrices
    Row Echelon Form & Reduced Row Echelon Form
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    Writing systems of equations as matrix equations
    Solving matrix equations
    Matrix Equations

HSA-REI.D.10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

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    Interpret graphs of linear and nonlinear functions
    Graphs of Equations

HSA-REI.D.11

Explain why the x-coordinates of the points where the graphs of the equations y =f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

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    Intersection of Graphs
    Successive Approximation (Newton's Method)
    Graphs of Exponential Functions

HSA-REI.D.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

  • Show Lessons
  • Show Worksheets/Games
    Graph linear inequalities
    Graph & solve linear inequalities
    Graph systems of inequalities
    Graph & solve systems of inequalities

Worksheet 3 1 Irs

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.



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