Intiger Comparing with Expression Worksheet

Creating an “Integer Comparing with Expression Worksheet” involves designing a set of math problems that require students to evaluate algebraic expressions and compare the results to integers. Below is a detailed description of how to create such a worksheet:

Worksheet Title: Integer Comparing with Expression Worksheet

Objective: The objective of this worksheet is to reinforce students’ understanding of evaluating algebraic expressions and comparing the results to integers. This worksheet will provide students with an opportunity to practice these skills in various contexts.

Instructions:

Part 1: Evaluating Expressions In this section, you will be evaluating algebraic expressions for specific values of variables. Follow the steps below to evaluate each expression and write down the results.

1. Expression 1: Evaluate the expression 3x + 7 for x = 4.Calculation: 3x + 7 = 3(4) + 7 = 12 + 7 = 19
2. Expression 2: Evaluate the expression 2y – 5 for y = -3.Calculation: 2y – 5 = 2(-3) – 5 = -6 – 5 = -11
3. Expression 3: Evaluate the expression 5z^2 + 3z – 2 for z = 2.Calculation: 5z^2 + 3z – 2 = 5(2)^2 + 3(2) – 2 = 5(4) + 6 – 2 = 20 + 6 – 2 = 24

   

   Intiger Comparing with Expression Worksheet

Part 2: Comparing Expressions to Integers In this section, you will compare the results obtained from Part 1 (evaluated expressions) to specific integers. Use the greater than (>) or less than (<) symbols to indicate the relationship between the values.

4. Comparison 1: Compare the result of Expression 1 to the integer 15.Calculation: 19 > 15 (Write 19 > 15)
5. Comparison 2: Compare the result of Expression 2 to the integer -10.Calculation: -11 > -10 (Write -11 > -10)
6. Comparison 3: Compare the result of Expression 3 to the integer 30.Calculation: 24 < 30 (Write 24 < 30)

Part 3: Word Problems In this section, you will encounter real-world scenarios that involve comparing expressions to integers. Translate the situations into mathematical expressions, evaluate them, and determine the relationships between the values.

7. Word Problem 1: You have saved $50 for a video game, and it costs x dollars. Write an expression to represent the cost of the video game and compare it to your savings. If your savings are greater, write “Savings > Cost,” otherwise, write “Savings < Cost.”
   • Expression: x
   • Calculation: (Use the value of x from Part 1)
8. Word Problem 2: Your school’s basketball team scored y points in the last game, while the rival team scored 75 points. Write an expression to represent the points scored by your team and compare it to the rival team’s score. If your team scored more, write “Our Team > Rival Team,” otherwise, write “Our Team < Rival Team.”
   • Expression: y
   • Calculation: (Use the value of y from Part 1)

Answer Key: Part 1:

1. 19
2. -11
3. 24

Part 2: 4. 19 > 15

5. -11 > -10
6. 24 < 30

Part 3: 7. For Word Problem 1, the answer will depend on the value of x from Part 1.

8. For Word Problem 2, the answer will depend on the value of y from Part 1.

This worksheet provides students with the opportunity to practice evaluating expressions, comparing them to integers, and applying these skills to real-world scenarios. It can be customized further based on grade level and learning objectives

Worksheet Title: Integer Comparing with Expression Worksheet

Objective: This worksheet aims to reinforce students’ understanding of comparing integers and algebraic expressions. Students will practice evaluating expressions, determining the values, and using comparison symbols (> and <) to express relationships between these values.

Worksheet Structure:

Intiger Comparing with Expression Worksheet

Part 1: Evaluating Expressions

• In this section, students will evaluate algebraic expressions by substituting specific values for variables and calculating the results. This step helps them understand how expressions work and how different values can affect the outcome.

Instructions:

1. a. If x = 3, find the value of 2x + 5. Calculation: 2x + 5 = 2(3) + 5 = 6 + 5 = 11 Explanation: By substituting x with 3, we calculated the expression to be 11.b. If y = -2, find the value of 3y – 2. Calculation: 3y – 2 = 3(-2) – 2 = -6 – 2 = -8 Explanation: By substituting y with -2, we calculated the expression to be -8.

   c. If z = 0, find the value of 4z^2 – 6. Calculation: 4z^2 – 6 = 4(0)^2 – 6 = 4(0) – 6 = -6 Explanation: By substituting z with 0, we calculated the expression to be -6.

Part 2: Comparing Expressions to Integers

• In this section, students will compare the results obtained from evaluating expressions to specific integers. They will use comparison symbols (> or <) to indicate which value is greater or if they are equal.

Instructions: 2. a. Compare the result of (a) to the integer 7. Calculation: 11 > 7 Explanation: The result of evaluating (a) is 11, which is greater than 7. So, we write 11 > 7.

b. Compare the result of (b) to the integer -5. Calculation: -8 > -5 Explanation: The result of evaluating (b) is -8, which is greater than -5. So, we write -8 > -5.

c. Compare the result of (c) to the integer -3. Calculation: -6 > -3 Explanation: The result of evaluating (c) is -6, which is greater than -3. So, we write -6 > -3.

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