Algebra

SAT linear inequalities practice questions

Solve inequalities, write them from word problems that say at least or at most, and check which points satisfy an inequality or a system of them.

Practice linear inequalities 85 questions, no account needed.

The usual trap

Flip the inequality sign when you multiply or divide by a negative number. And read the words closely: at least means ≥, not >.

Full skill name: Linear inequalities in one or two variables

Try three questions

Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.

  1. 01Question 1

    Easy

    Which of the following describes all values of x for which x/4 + 3 ≤ 9?

  2. 02Question 2

    Medium

    A store sells notebooks for $3 each and pens for $2 each. A customer has $30 to spend and wants to buy at least 4 notebooks. If x is the number of notebooks and y is the number of pens, which system represents these constraints?

  3. 03Question 3

    Hard

    A store buys an item at a wholesale cost of c dollars, where c > 0. The store marks up the wholesale cost by 40% to get the marked price and then sells the item at 15% off the marked price. The store's profit on the item is the selling price minus the wholesale cost. The store wants its profit on the item to be at most $57. Which of the following inequalities describes all possible values of c?

Keep going

Start a set in this skill. Every answer comes with an explanation.

Practice linear inequalities

85 questions in the bank: 19 Easy, 44 Medium, 22 Hard.

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