(Practice) Unit 3 Test

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2(length + width).

Front

If a racket originally priced at $125 is sold for $100, what is the discount?

Back

The discount is $125 - $100 = $25.

Front

How do you solve for the width of a rectangle if the perimeter is 53 meters and the length is 2.3 meters longer than the width?

Back

Let w be the width. The equation is 2(w + (w + 2.3)) = 53. Solving gives w = 12.1 meters.

Front

What is an inequality?

Back

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

Front

How do you write an inequality for Jamie's lunch budget if he has $40 and lunch costs $7 per person?

Back

The inequality is 7p ≤ 40, which simplifies to p ≤ 5.

Front

What is the total cost equation for Maria's veterinary appointments if she pays $150 for tests and $30 per appointment?

Back

The equation is t = 30a + 150, where t is the total cost and a is the number of appointments.

Front

What does it mean to find an equivalent expression in algebra?

Back

Finding an equivalent expression means rewriting an expression in a different form that has the same value.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you simplify the expression 4y(2 + y) - (3y + 3)?

Back

Using the distributive property: 4y(2) + 4y(y) - 3y - 3 = 8y + 4y^2 - 3y - 3 = 4y^2 + 5y - 3.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.