ACT Math Prep 2

Front

If xy = 144 and x + y = 30, what is the value of x - y?

Back

18

Front

A typical high school student consumes 67.5 pounds of sugar per year. If each track team member lowers their sugar consumption by at least 20%, what is the maximum sugar consumption for each member?

Back

54 pounds

Front

The length of a box is 3 inches less than twice its width. Write the equation for length l in terms of width w.

Back

l = 2w - 3

Front

In a construction where point F is equidistant from points D and G, what can be said about the angles ∠DEF and ∠GEF?

Back

They are equal.

Front

What is the formula for the minimum pump capacity required to pump out a mine that is D feet deep?

Back

(D^2/25) + 4D - 250 gallons per minute.

Front

If x + y = 30 and xy = 144, how can you find the values of x and y?

Back

Use the quadratic equation derived from the two equations.

Front

What is the relationship between the roots of the equation x^2 - (x + y)x + xy = 0?

Back

The roots are x and y.

Front

How do you calculate a percentage decrease?

Back

Subtract the new value from the original value, divide by the original value, and multiply by 100.

Front

What is the significance of constructing equidistant points in geometry?

Back

It helps in creating bisectors and understanding symmetry.

Front

How do you express a relationship between two variables in algebra?

Back

By forming an equation that relates the two variables.