# Rate of change and slope worksheet kuta

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English Language Arts. Foreign Language. Social Studies - History. History World History. For All Subject Areas. See All Resource Types.The examples below show how the rate of change in a linear function is represented by the slope of its graph. The formula for calculating slope is explained and illustrated. If required, you may wish to review this Coordinate Graphing Lesson before working through the examples below that show how the slope of a line represents rate of change.

The slope of a line is calculated by dividing the rise by the run. The "rise" and the "run" can be found using any two points on the line as shown in the examples below. Note: It does not matter which pair of coordinates you call X1, Y1 and which pair you call X2, Y2 as long as you use the same order when subtracting to find the rise as you do when subtracting to find the run. The slope m of the line that is generated can be given as a positive or negative number which shows its steepness and direction.

The four examples below show the slope for different linear functions.

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These functions are shown in algebraic, tabular, and graphical form. The slope of the line below is 3. The value of y increases 3 times as much as does the value of x. In both Example 1 and Example 2 above, the line slopes upward from left to right. These are positive slopes or positive rates of change. As x increases, y also increases.

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Note the difference in Examples 3 and 4 below. They show that, as x increases, y decreases. This results in a negative slope that runs downwards from left to right.

### Distance, Rate, and Time Worksheets

In the examples above the slope of line corresponds to the rate of change. The examples below show how the slope shows the rate of change using real-life examples in place of just numbers. The graph below shows the speed of a vehicle plotted against time. Look at the different slopes - both the steepness and direction. These represent the rate of change of speed otherwise known as acceleration. A - B : Starts from stationery position and increases speed up to 50 m.Test and Worksheet Generators for Math Teachers.

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KutaSoftware: Algebra 1- Finding Slope From Two Points Part 2

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For All Subject Areas. See All Resource Types. Get students out of their seats and determining rate of change and slope with this interactive scavenger hunt.

## Average Rate Of Change For Algebra 1

Students will practice determining rate of change given a table, graph, pair of coordinates, or verbal scenario. Half of the problems are strictly mathematical and half involve a real sce. MathAlgebraGraphing. ActivitiesGamesCooperative Learning. Add to cart. Wish List.Test and Worksheet Generators for Math Teachers. All worksheets created with Infinite Algebra 1.

Stop searching. Create the worksheets you need with Infinite Algebra 1. Basics Writing variable expressions Order of operations Evaluating expressions Number sets Adding rational numbers Adding and subtracting rational numbers Multiplying and dividing rational numbers The distributive property Combining like terms Percent of change. Inequalities Graphing one-variable inequalities One-step inequalities Two-step inequalities Multi-step inequalities Compound inequalities Absolute value inequalities.

Trigonometry Finding trig. Systems of Equations and Inequalities Solving systems of equations by graphing Solving systems of equations by elimination Solving systems of equations by substitution Systems of equations word problems Graphing systems of inequalities.

Statistics Visualizing data Center and spread of data Scatter plots Using statistical models. Linear Equations and Inequalities Finding slope from a graph Finding slope from two points Finding slope from an equation Graphing lines using slope-intercept form Graphing lines using standard form Writing linear equations Graphing absolute value equations Graphing linear inequalities.

Word Problems Distance-rate-time word problems Mixture word problems Work word problems Systems of equations word problems. All rights reserved.In math, distance, rate, and time are three important concepts you can use to solve many problems if you know the formula. Distance is the length of space traveled by a moving object or the length measured between two points. The rate is the speed at which an object or person travels.

Time is the measured or measurable period during which an action, process, or condition exists or continues. In distance, rate, and time problemstime is measured as the fraction in which a particular distance is traveled. Use these free, printable worksheets to help students learn and master these important math concepts. Each slide provides the student worksheet, followed by an identical worksheet that includes the answers for ease of grading.

Each worksheet provides three distance, rate, and time problems for students to solve. It is abbreviated as:. Let students know that there are many examples where you might use this formula in real life. For example, if you know the time and rate a person is traveling on a train, you can quickly calculate how far he traveled. Share Flipboard Email. Deb Russell. Math Expert. Deb Russell is a school principal and teacher with over 25 years of experience teaching mathematics at all levels.

Updated October 14, When solving distance problems, explain to students that they will use the formula:. For example, the first problem states:. The Prince David ship headed south at an average speed of 20 mph. Later the Prince Albert traveled north with an average speed of 20 mph.

After the Prince David ship had traveled for eight hours, the ships were miles apart. How many hours did the Prince David Ship Travel? Students should find that the ship traveled for six hours. The formula can also be rearranged as:. On this worksheet, students will solve problems such as:.

Two sisters Anna and Shay left the home at the same time. They headed out in opposite directions toward their destinations. Shay drove 50 mph faster than her sister Anna. Two hours later, they were mph apart from each other. The students should find that Anna's average speed was 30 mph. Ryan left home and drove to his friend's house driving 28 mph. Warren left an hour after Ryan traveling at 35 mph hoping to catch up with Ryan.

How long did Ryan drive before Warren caught up to him? Students should find that Ryan drove for five hours before Warren caught up to him. On this final worksheet, students will solve problems including:. Pam drove to the mall and back.