Lesson 17 Flashcard

Front

Solve the inequality: 2(x - 3) - 5x ≤ 9

Back

x ≥ -5

Front

If Lydia buys 1/2 pound of Breakfast tea and 2 pounds of Dark Roast coffee, how many 1-pound bags of Pumpkin Spice coffee can she buy with $65?

Back

x ≤ 3

Front

Jody has $40 and needs at least $18.25 for a scrapbook. Each sheet of paper costs $0.34. How many sheets of paper can she buy?

Back

Jody can buy at most 63 sheets of paper.

Front

Write an inequality for Lydia to find how many pounds of Pumpkin Spice coffee, p, she can buy along with 2 pounds of Dark Roast coffee, given she can spend no more than $65.

Back

10.50p + 15 ≤ 65

Front

There are 8 students on the chess team needing to raise at least $760. They still need to raise 85% of the funds. Solve the inequality 8m + 0.15(760) ≥ 760.

Back

Each student needs to raise at least $80.75.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

Define a variable in the context of an inequality problem.

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in mathematical expressions and equations.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side of the circle.