TSIA2 Math - TSI 2.0 Review 2 (940ish)

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(l + w), where l is the length and w is the width.

Front

If the perimeter of a rectangle is 28, what could the length and width be?

Back

Possible dimensions are l = 8, w = 6.

Front

How do you convert miles per hour to distance traveled in 90 minutes?

Back

To find the distance traveled in 90 minutes, multiply the speed (x miles per hour) by 1.5 (since 90 minutes is 1.5 hours). The formula is distance = speed × time = 1.5x.

Front

What is the relationship between the length and width of a rectangle if the length is 3 less than twice the width?

Back

The relationship can be expressed as l = 2w - 3.

Front

What is the formula for the perimeter of a rectangle in terms of width?

Back

If l = 2w - 3, then the perimeter P = 2((2w - 3) + w) = 6w - 6.

Front

Back

A factor of the expression is (x - 11).

Front

Back

To solve, isolate the square root: @@ \\sqrt{2x - 3} = 5 \\ Square both sides: 2x - 3 = 25 \\ 2x = 28 \\ x = 14@@.

Front

What is a factor in mathematics?

Back

A factor is a number or algebraic expression that divides another number or expression evenly.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

What is the definition of a rectangle?

Back

A rectangle is a quadrilateral with four right angles.