List of practice Questions

Alice has a puppy and a kitten. The puppy weighs 4 pounds and grows at a rate of 1 pound per month. The kitten weighs 2 pounds and grows at a rate of 2 pounds per month. Compare after the given months:
Quantity A: Weight of the puppy after 8 months
Quantity B: Weight of the kitten after 7 months.

If \( m \) and \( n \) are both odd integers, which of the following is not necessarily odd?

Which of the following inequalities is represented by the number line shown below?

\[ -2 \leq x \leq 5 \]

Product X costs $ 27 to manufacture at the rate of 50 per hour. Production can only be increased in groups of 10 units per hour. For each such increase, the production cost increases 30% of its previous amount. If the output is to be doubled, for how much must each unit be sold to make at least a 25% profit?

In a bowl containing 10 marbles, 5 are blue and 5 are pink. If 2 marbles are picked randomly, what is the probability that the 2 marbles will not both be pink?

The average of four numbers is 25. The average of three of these numbers is 20.
Quantity A: The value of the fourth number
Quantity B: 35

\(x\) and \(y\) are non-zero integers. Compare the following: \[ \text{Quantity A: } (x - y)^2 \quad \quad \text{Quantity B: } (x + y)^2 \]

Simplify the following: \[ \sqrt{125} + \sqrt{245} - \sqrt{80} \]

Simplify: \[ \sqrt{250} - \sqrt{10} \]

There are \(3,500\) people in group A and \(5,000\) people in group B. The percentage of people owning minivans is 22% in group A and 15% in group B.

The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?

Find the square root of the following decimal: \(0.004\).

Let \(Z\) represent a sequence of numbers \((z_1, z_2, z_3, \dots)\) wherein each term is defined as seven less than three times the preceding term. If \(z_3 + z_5 = 142\), what is the first term in the sequence?

Evaluate: \(0.4835 \times 10^2\)

Evaluate: \[ y = 3^{13} - 9^5 (127)^{-3} \]

Solve for \(x\): \[ 2^{x+1} = 128 \]

Evaluate: \[ 0.0075 \div 0.0126 \]

A five-year bond is opened with $ 5000 at an interest rate of 2.5%, compounded annually. Find the approximate total after 5 years.

In a four-digit positive integer \(y\), the thousand's digit is three times the unit's digit. Compare the unit's digit of \(y\) (Quantity A) with 4 (Quantity B).

Choose the answer which best simplifies the expression below: \[ 2a14 - y - 38 + a \]

For the quantities below, \( x<y \) and \( x \) and \( y \) are both integers. Quantity A: \( x^5 y^3 \)
Quantity B: \( x^4 y^4 \)

Solve the inequality: \[ 6(x - 1)<7(3 - x) \]

\( h(x) = \frac{28x + 4}{x - 4} \). For which of the following values of \(x\) is the function undefined?

If \( 4xs = v \), \( v = ks \), and \( sv \neq 0 \), which of the following is equal to \(k\)?