ACT Practice (1-10)

Front

What is the result of multiplying 3.234 by 0.01?

Back

0.03234

Front

If a rope is 55 feet long and one piece is 23 feet longer than the other, how do you find the length of the shorter piece?

Back

Let the length of the shorter piece be x. Then the longer piece is x + 23. The equation is x + (x + 23) = 55. Solving gives x = 16 feet.

Front

What are vertical asymptotes and how do you find them?

Back

Vertical asymptotes are lines x = a where a function approaches infinity. To find them, set the denominator of a rational function to zero and solve for x.

Front

What does it mean when an equation has infinite solutions?

Back

An equation has infinite solutions when both sides are identical, such as -10y - 6 = -10y - 6, meaning any value of y satisfies the equation.

Front

How do you calculate the cost per ounce of a product given its total cost and quantity?

Back

To find the cost per ounce, divide the total cost by the total number of ounces. For example, if 2 quarts (64 ounces) of milk costs $2.65, then cost per ounce = $2.65 / 64 = $0.04140625, rounded to $0.04.

Front

What is the formula for converting quarts to ounces?

Back

1 quart = 32 ounces. Therefore, to convert quarts to ounces, multiply the number of quarts by 32.

Front

How do you set up an equation for a word problem involving two unknowns?

Back

Identify the unknowns, assign variables, and translate the problem into an equation based on the relationships described in the problem.

Front

What is the significance of the number of solutions in a linear equation?

Back

The number of solutions indicates whether the lines represented by the equations intersect (one solution), are parallel (no solutions), or are the same line (infinite solutions).

Front

How do you determine the length of a piece of rope when given a total length and a relationship between two pieces?

Back

Set up an equation based on the total length and the relationship between the two pieces, then solve for the unknown length.

Front

What is the process for solving a simple multiplication problem involving decimals?

Back

Align the numbers by the decimal point, multiply as if they were whole numbers, and then place the decimal in the product based on the total number of decimal places in the factors.