ACT Math Practice Test 12

If x is a positive real number such that x² = 16, then x³ + √x = ?

What percent of 5 is 7?

If 7x + 5 = 2x + 9, then x = ?

If mn = k and k = x²n, and nk ≠ 0, which of the following is equal to m?

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 binder. Jordan paid $4.65 for 2 notebooks and 1 binder. What is the price of one of the notebooks?

Which of the following numbers has the digit 5 in the thousandths place?

When written in symbols, “the product of r and s, raised to the fourth power,” is represented as:

What is the fourth term in the arithmetic sequence 13, 10, 7, …?

5x³ × 2xy × 3xy² is equivalent to:

The minimum fine for driving in excess of the speed limit is $25. An additional $6 is added to the minimum fine for each mile per hour (mph) in excess of the speed limit. Rachel was issued a $103 fine for speeding in a 55-mph speed limit zone. For driving at what speed, in mph, was Rachel fined?

Justin owns 6 different dress shirts, 3 different pairs of pants, and 5 different ties. How many distinct outfits, each consisting of a shirt, a pair of pants, and a tie, can Justin make?

If g is an integer, which of the following could NOT equal g₂ ?

What is the slope of a line that passes through the origin and the point (−6, 2) ?

If g is an integer, which of the following could NOT equal g² ?

If b = a − 4, then (a − b)³ = ?

On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary’s pets?

Which of the following is a simplified form of 4x − 4y + 3x?

A partial deck of cards was found sitting out on a table. If the partial deck consists of 6 spades, 3 hearts, and 7 diamonds, what is the probability of randomly selecting a red card from this partial deck? (Note: diamonds and hearts are considered “red,” while spades and clubs are considered “black.”)

−|−16| − (−16) = ?