Solving & Writing Equations and Inequalities

Front

What is the equation to determine the minimum number of cakes a bakery must sell to earn a profit if the daily operating cost is $1800 and the cost per cake is $10, while selling price per cake is $15?

Back

15c > 1800 + 10c

Front

Solve for x: -8x - 8 + 3x - 6 = -3x + 2

Back

x = -8

Front

What inequality can help determine how many phone calls you need to make per month so that Plan 2 is a better option if Plan 1 costs $25 plus $0.35 per call and Plan 2 costs $37 plus $0.25 per call?

Back

0.35n + 25 > 0.25n + 37

Front

Solve for w: 7w + 5 = 3w - 15

Back

w = -5

Front

What inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at company P ($3.50 per trophy + $25 engraving) is less than the total charge at Company R ($7.50 per trophy + $17 engraving)?

Back

3.5x + 25 < 7.5x + 17

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the value(s) of the variable(s) 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.