Absolute Value Equations and Inequalities Assessment Assessment Review

University:
Ball State University
Course:
GER 303 | Grammar
Academic year:

2023
Views:

0

Pages:

2
Author:

sid patel

Absolute Value Equations and Inequalities Assessment Assessment Review Basic Find the value of the variable that makes the statement true. Show all thinking. |𝑥 − 6| = 3 Basic Basic + Find the value of the variable that makes the statement true. Graph the solution and write it using inequality notation. Find the value of the variable that makes the statement true. Graph the solution and write it using inequality notation. |𝑥 − 3| ≤ 10 4|𝑥 − 5| − 1 > 23 | |𝑥 + 4| = 9 Intermediate Write the inequality that models the statement. Then solve the inequality and graph its solutions. “The set of all numbers at least four units away from negative 6.” NAME 12 𝑥 |>2 2|𝑥 + 1| + 7 ≤ 19 Intermediate If a can of Sprite is within 0.25 oz of 16 oz then it is allowed to go on the market. Write an inequality that models this situation. Then, solve the inequality and graph its solutions. Intermediate + Kendall solved the inequality below algebraically. Did she solve it correctly? If yes, how do you know? If not, what was her mistake? What should she have done differently? 2|𝑥 + 1| > 4 2|𝑥 + 1| <− 4 𝑥 + 1 <− 2 𝑥 + 1 <− 2 −1 −1 𝑥 <− 3 𝑥+ 𝑥+ − 𝑥> 2|𝑥 + 1| > 4 1>2 1>2 1 −1 1 Advanced Create an inequality that has the following solutions. You are allowed to use the numbers -9 to 9 exactly once. Prove that your inequality matches the solutions by showing all work/thinking. Advanced Let A, B, C, D, and E represent any number and x represent the variable. Solve the inequality for x and show what the solution would look like on a number line. 𝐴|| 4𝑥−𝐵 𝐶 Advanced + Using the numbers -9 to 9, create inequalities that meet the following criteria. Prove that your inequality works in meeting the criteria. An inequality where the solution is − 3 > 𝑥 > 3. | − 𝐸 > 2𝐷 | An inequality where the solution is in between -4 and 10.

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