Practice TSI problems

Front

A map is drawn to scale in which 1/2 inch on the map represents 10 miles. How do you calculate the distance in inches represented by x miles?

Back

The distance in inches is calculated as x/20.

Front

What does the equation (n/3)+6=5 represent in words?

Back

It represents 'Six more than 1/3 a number n equals 5'.

Front

If x+y=12 and x=2y, how do you find the value of x?

Back

Substituting x=2y into x+y=12 gives 2y+y=12, leading to y=4 and x=8.

Front

What is the result of (2r/3s) multiplied by (9s/4r^2)?

Back

The result is 3/2r.

Front

How do you factor the expression x^2-3x-18?

Back

It factors to (x-6)(x+3).

Front

What is the scale factor if 1/2 inch represents 10 miles?

Back

The scale factor is 20 miles per inch.

Front

How do you express 'a number n divided by 3 plus 6 equals 5' in equation form?

Back

The equation is (n/3)+6=5.

Front

What is the solution for x in the equation 2x + 3 = 11?

Back

The solution is x = 4.

Front

What is the equivalent expression for 3(x + 4)?

Back

The equivalent expression is 3x + 12.

Front

How do you solve the equation 5x - 2 = 3x + 6?

Back

By isolating x, you find x = 4.