# Writing algebraic equations and inequalities

Absolute Value Equations Worksheets These Equations and Inequalities Worksheets will produce absolute value problems with monomials and polynomials expressions. You will find guidance on using inequalities to represent real-world problems here towards the foot of the page. The Information above this point will not be sent to your printer Name: He plans to buy as many books as he can.

How many books can he afford without spending more than his gift voucher amount?

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What is the maximum number of miles they will be able to travel in the cab? What is the least number of days he must work to get enough money for his holiday? Jennifer is planning a holiday. Up to how many nights can she afford in the hotel? Jill has a job offer. How many plants does she need to sell to make the commission offer the best paying option?

If he pays the same amount each month, what is the minimum he must pay off each month to manage this? Joel is looking at costs for using a gym. Chantelle has signed up for hockey. What is the maximum number of ice-times that Chantelle can go to. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm.

## Definition of Inequality

Its length is 6 cm. What is its width? Graph the solution set of the inequality and interpret it in the context of the problem. Write an inequality for the number of sales you need to make, and describe the solutions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.• Students will write algebraic equations and inequalities from real-world situations. • Students will create a situation or word problem matching an equation • Students will solve multi-step linear equations and inequalities with rational coefficients (variables on one side) that require combining like terms.