graphing activity #1 answer key

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Unit 14: Quadratic functions & equations

About this unit.

We've seen linear and exponential functions, and now we're ready for quadratic functions. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems.

Intro to parabolas

• Parabolas intro (Opens a modal)
• Interpreting a parabola in context (Opens a modal)
• Interpret a quadratic graph (Opens a modal)
• Parabolas intro Get 3 of 4 questions to level up!
• Interpret parabolas in context Get 3 of 4 questions to level up!
• Interpret a quadratic graph Get 3 of 4 questions to level up!

Solving and graphing with factored form

• Zero product property (Opens a modal)
• Graphing quadratics in factored form (Opens a modal)
• Quadratic word problems (factored form) (Opens a modal)
• Zero product property Get 3 of 4 questions to level up!
• Graph quadratics in factored form Get 3 of 4 questions to level up!
• Quadratic word problems (factored form) Get 3 of 4 questions to level up!

Solving by taking the square root

• Solving quadratics by taking square roots (Opens a modal)
• Solving quadratics by taking square roots examples (Opens a modal)
• Quadratics by taking square roots: strategy (Opens a modal)
• Solving quadratics by taking square roots: with steps (Opens a modal)
• Solving simple quadratics review (Opens a modal)
• Quadratics by taking square roots (intro) Get 3 of 4 questions to level up!
• Quadratics by taking square roots Get 3 of 4 questions to level up!
• Quadratics by taking square roots: strategy Get 3 of 4 questions to level up!
• Quadratics by taking square roots: with steps Get 3 of 4 questions to level up!

Vertex form

• Vertex form introduction (Opens a modal)
• Graphing quadratics: vertex form (Opens a modal)
• Quadratic word problems (vertex form) (Opens a modal)
• Graph quadratics in vertex form Get 3 of 4 questions to level up!
• Quadratic word problems (vertex form) Get 3 of 4 questions to level up!

Solving quadratics by factoring

• Solving quadratics by factoring (Opens a modal)
• Solving quadratics by factoring: leading coefficient ≠ 1 (Opens a modal)
• Solving quadratics using structure (Opens a modal)
• Quadratic equations word problem: triangle dimensions (Opens a modal)
• Quadratic equations word problem: box dimensions (Opens a modal)
• Solving quadratics by factoring review (Opens a modal)
• Quadratics by factoring (intro) Get 3 of 4 questions to level up!
• Quadratics by factoring Get 3 of 4 questions to level up!
• Solve equations using structure Get 3 of 4 questions to level up!

The quadratic formula

• The quadratic formula (Opens a modal)
• Understanding the quadratic formula (Opens a modal)
• Worked example: quadratic formula (example 2) (Opens a modal)
• Worked example: quadratic formula (negative coefficients) (Opens a modal)
• Using the quadratic formula: number of solutions (Opens a modal)
• Quadratic formula review (Opens a modal)
• Discriminant review (Opens a modal)
• Quadratic formula Get 3 of 4 questions to level up!
• Number of solutions of quadratic equations Get 3 of 4 questions to level up!

Completing the square intro

• Completing the square (Opens a modal)
• Worked example: Completing the square (intro) (Opens a modal)
• Worked example: Rewriting expressions by completing the square (Opens a modal)
• Worked example: Rewriting & solving equations by completing the square (Opens a modal)
• Completing the square (intro) Get 3 of 4 questions to level up!
• Completing the square (intermediate) Get 3 of 4 questions to level up!

More on completing the square

• Solve by completing the square: Integer solutions (Opens a modal)
• Solve by completing the square: Non-integer solutions (Opens a modal)
• Worked example: completing the square (leading coefficient ≠ 1) (Opens a modal)
• Solving quadratics by completing the square: no solution (Opens a modal)
• Proof of the quadratic formula (Opens a modal)
• Solving quadratics by completing the square (Opens a modal)
• Completing the square review (Opens a modal)
• Quadratic formula proof review (Opens a modal)
• Solve equations by completing the square Get 3 of 4 questions to level up!
• Completing the square Get 3 of 4 questions to level up!

Strategizing to solve quadratic equations

• Strategy in solving quadratic equations (Opens a modal)
• Strategy in solving quadratics Get 3 of 4 questions to level up!

Quadratic standard form

• Finding the vertex of a parabola in standard form (Opens a modal)
• Graphing quadratics: standard form (Opens a modal)
• Quadratic word problem: ball (Opens a modal)
• Graph quadratics in standard form Get 3 of 4 questions to level up!
• Quadratic word problems (standard form) Get 3 of 4 questions to level up!

Features & forms of quadratic functions

• Forms & features of quadratic functions (Opens a modal)
• Worked examples: Forms & features of quadratic functions (Opens a modal)
• Vertex & axis of symmetry of a parabola (Opens a modal)
• Finding features of quadratic functions (Opens a modal)
• Interpret quadratic models: Factored form (Opens a modal)
• Interpret quadratic models: Vertex form (Opens a modal)
• Graphing quadratics review (Opens a modal)
• Creativity break: How does creativity play a role in your everyday life? (Opens a modal)
• Features of quadratic functions: strategy Get 3 of 4 questions to level up!
• Features of quadratic functions Get 3 of 4 questions to level up!
• Graph parabolas in all forms Get 3 of 4 questions to level up!
• Interpret quadratic models Get 3 of 4 questions to level up!

Comparing quadratic functions

• Comparing features of quadratic functions (Opens a modal)
• Comparing maximum points of quadratic functions (Opens a modal)
• Compare quadratic functions Get 3 of 4 questions to level up!

Transforming quadratic functions

• Intro to parabola transformations (Opens a modal)
• Shifting parabolas (Opens a modal)
• Scaling & reflecting parabolas (Opens a modal)
• Quadratic functions & equations: FAQ (Opens a modal)
• Shift parabolas Get 3 of 4 questions to level up!
• Scale & reflect parabolas Get 3 of 4 questions to level up!

Systems of Equations: Graphing #1

Students practice solving systems of linear equations using the graphing method with this eighth-grade algebra worksheet! To solve a system of linear equations by graphing, students will need to graph all equations in the system and identify where the lines intersect. This worksheet offers six systems of linear equations to help students get comfortable using the graphing method. As a warm-up, students can complete Solving Systems of Linear Equation: Graphing, which walks through an example of how to solve systems of equations by graphing.

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Graphing Linear Function Worksheets

This extensive set of pdf worksheets includes exercises on graphing linear function by plotting points on the grid. Three types of function tables, each with two levels of worksheets, require learners in grade 8 and high school to plot the points and graph the lines. The graph of a linear function is always a straight line. Use the answer keys provided to verify your responses. Employ the various download options to gain access to all our worksheets under this topic. A number of free printable worksheets are also up for grabs!

Printing Help - Please do not print worksheets with grids directly from the browser. Kindly download them and print.

Graphing Linear Function: Type 1 - Level 1

Find f(x) based on the x-coordinates provided and complete the function tables. Plot the points and graph the lines. The slopes given in level 1 worksheets are in the form of integers. Verify your graph with the answer keys provided.

• Download the set

Graphing Linear Function: Type 1 - Level 2

These pdf worksheets provide ample practice in plotting the graph of linear functions. The slopes are represented as fractions in the level 2 worksheets. For the given x-coordinates, find f(x) and complete the function tables. Plot the points and graph the linear function.

Graphing Linear Function: Type 2 - Level 1

In this section, 8th grade and high school students will have to find the missing values of x and f(x). Complete the function table, plot the points and graph the linear function. The slopes in level 1 worksheets are in the form of integers.

Graphing Linear Function: Type 2 - Level 2

Write down the missing values of x and f(x). There are nine linear functions in each worksheet with the slopes in the form of simplified fractions. Plot the coordinates and graph the lines.

Graphing Linear Function: Type 3 - Level 1

Assume your own values for x for all printable worksheets provided here. Find the range. Compute the function tables, plot the points, and graph the linear functions. The slopes provided in level 1 worksheets are represented as integers.

Graphing Linear Function: Type 3 - Level 2

The equations in the second level of worksheets have slopes in the form of fractions. Assign five values of x and find the corresponding values of f(x). Plot the points and graph the linear function. Download our easy-to-print worksheets for ample practice.

Related Worksheets

» Linear Transformation

» Graphing Quadratic Function

» Graphing Linear Equation

» Graphs

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Solve Systems of Linear Equations by Graphing (Slope-Intercept) (A)

Welcome to The Solve Systems of Linear Equations by Graphing (Slope-Intercept) (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2015-04-16 and has been viewed 78 times this week and 418 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

Teacher s can use math worksheets as test s, practice assignment s or teaching tool s (for example in group work , for scaffolding or in a learning center ). Parent s can work with their children to give them extra practice , to help them learn a new math skill or to keep their skills fresh over school breaks . Student s can use math worksheets to master a math skill through practice, in a study group or for peer tutoring .

Use the buttons below to print, open, or download the PDF version of the Solve Systems of Linear Equations by Graphing (Slope-Intercept) (A) math worksheet . The size of the PDF file is 94731 bytes . Preview images of the first and second (if there is one) pages are shown. If there are more versions of this worksheet, the other versions will be available below the preview images. For more like this, use the search bar to look for some or all of these keywords: math, algebra, linear, equation, system, graph, solve, slope-intercept .

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Free Printable Math Worksheets for Algebra 1

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• Writing variable expressions
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• Number sets
• Adding rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• The distributive property
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• Percent of change
• One-step equations
• Two-step equations
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• Absolute value equations
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Algebra Function Worksheets with Answer Keys

Feel free to download and enjoy these free worksheets on functions and relations .Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Domain and Range (Algebra 1)
• Functions vs Relations (distinguish function from relation, state domain etc..) (Algebra 2)
• Evaluating Functions (Algebra 2)
• 1 to 1 Functions (Algebra 2)
• Composition of Functions (Algebra 2)
• Inverse Functions Worksheet (Algebra 2)
• Operations With Functions (Algebra 2)
• Functions Review Worksheet (Algebra 2)

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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Slope Intercept Form Graphing Activity

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Description

Not only will this math art activity help your students practice writing and graphing equations in slope intercept form, but it will also add beautiful stained glass-styled art to your classroom! Best of all, this product includes 4 different options to help you differentiate within your math classroom and can be used for sub plans, extra credit, review, and more!

Click here to save money when you purchase this product included in the Graphing Equations Art Bundle

After graphing each set of lines, students will create a piece of art by outlining each line in black marker and coloring the sections in between each intersecting line. This will complete a graph with a stained glass look and add some beautiful color to your classroom walls when displayed.

The 4 different graphing art options include:

• Graphing Art #1 Graphing from Slope Intercept Form Equations: With this option, your students will identify the slope and y-intercept of 8 different lines and then graph them. After graphing, they will color in their graphing. This option is best for students who are just beginning to graph using slope and y-intercept and struggling with this concept.
• Graphing Art #2 Writing and Graphing Lines from Slope-Intercept Form: Students will be given the slope and y-intercept and will need to write the equation in slope-intercept form and then graph the lines. There are 10 equations to be graphed . This is a great option for students just practicing writing equations in slope-intercept form.
• Graphing Art #3 Writing and Graphing Equations from 2 Points: With this option students are given two points from a line and will need to find the slope. They will then need to write the equation in slope-intercept form. One way of doing this is to use point-slope form. With this option, there are 12 lines that need to be graphed. This option is a good challenge for those students who easily grasp the concepts of writing equations.
• Graphing Art #4 Mixed Review- Writing and Graphing Equations in Slope-Intercept Form: With this option students will practice writing equations in slope-intercept form from a variety of ways (slope and point, two points, standard form, etc.). There are 12 lines to be graphed . This is a good option for an end of unit review or to challenge students in your class.

Check out some of the great reviews of this math activity below:

• "Great review on all of the different ways to write a linear equation. I used this as a review prior to covering systems."
• "Used for sub plans for students to review slope-intercept form. I love that it has the students changing the equations and then graphing -- two skills in one! Thanks!"
• "Love doing this activity every year and covering my walls!"
• "Awesome resource to do instead of just a boring worksheet"
• "Fun artistic project. I used this as one of my centers and the kids really enjoyed being able to apply art to math! "
• "This was great. I was able to use it as extra credit with my high-level students who quickly got this concept and wanted to do more practice. Love that it included vertical lines as well, that one always seems to stump them for a minute."

You may also be interested in some of my other math activities below:

Slope Project

Real Life Math Project: Investigating Jobs, Salaries, and Budgets

Mathematician Trading Card Project

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Phonics screening check: 2024 materials

Scoring guidance, pupils' materials and answer sheet for the 2024 phonics screening check.

2024 phonics screening check: practice sheet

Ref: ISBN 978-1-83507-125-0, STA/24/8876/e

PDF , 132 KB , 2 pages

2024 phonics screening check: pupils' materials

Ref: ISBN 978-1-83507-122-9, STA/24/8873/e

PDF , 486 KB , 24 pages

2024 phonics screening check: answer sheet

PDF , 132 KB , 1 page

2024 phonics screening check: scoring guidance

Ref: ISBN 978-1-83507-124-3, STA/24/8875/e

PDF , 208 KB , 2 pages

These materials are published to help teachers and pupils become familiar with the phonics screening check, and to enable teachers to score their pupils’ performance once the check has been administered.

The 2024 phonics screening check threshold mark is 32. Teachers should check each pupil’s mark against the threshold to establish whether they have achieved the expected standard.

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