ACT Math Practice Test 3

The correct answer is (D). To solve this problem, choose an even integer for $x$ and an odd integer for $y$ and evaluate each of the answer choices.

Set $x = 0$ and $y = 1 →$ only $x + y + 2$ will evaluate to an odd integer.

The correct answer is (A). 35% of 15% of a number is $0.35 \ast 0.15$ of that number:

$0.35 \ast 0.15 \ast x = 0.0525x$

The correct answer is (D). This question is really asking for the perimeter of the field. Add up all of the sides to find the perimeter:

$125 + 125 + 200 + 200 = 650$

or

$(125 \ast 2) + (200 \ast 2) = 650$

The correct answer is (B). Evaluate the expression to find the most simplified form. First evaluate the coefficients:

$4 * 2 * \frac{1}{3} * \frac{1}{4}= \frac{2}{3}$

$x*x^2=x^3$

$y * y^2 * y^2 = y^5$

$z * z^3 * z = z^5$

Combine each of these terms to get answer choice (B).

The correct answer is (B). To find $y$, substitute 3 for $x$ in the equation:

$y = \dfrac{(13 \ast 3 - 5 \ast 3) + 12}{4}$

$y = \dfrac{(39 - 15) + 12}{4}$

$y = \dfrac{24 + 12}{4}$

$y = \dfrac{36}{4}$

$y = 9$

The correct answer is (D). We are told $A \lt -1$ ($A$ is less than $-1$).

Let's choose a value of $A$ that satisfies this condition:

$A = -2$

We know that $B$ is the reciprocal of $A$:

$B = \frac{1}{A} = \frac{1}{-2} = -\frac{1}{2}$

Since $B = -\frac{1}{2}$, only answer (D) is valid.

The correct answer is (B). Consider the given information: the initial contract fee is a one time price that will be added to the number of magazines, $m$, times the cost per magazine:

$9.99m + 24.99$

The correct answer is (A). To find the percentage of a number, we multiply:

$7\%$ of $7 \frac{1}{7}$

$7\% \ast 7 \frac {1}{7}$ (Some calculators will let you type this in directly and provide the answer)

$0.07 \ast 7 \frac{1}{7}$

$0.07 \ast \dfrac{50}{7}$

$0.07 \ast 7.1429$ $(50 ÷ 7 ≈ 7.1429)$

$0.50$

Alternate approach:

$7\% \ast 7 \frac{1}{7}$

$\dfrac{7}{100} \ast \dfrac{50}{7} → \dfrac{1}{2} \ast \dfrac{1}{1} $ $ = \dfrac{1}{2}$

$0.50$ is the decimal representation of $\dfrac{1}{2}$.

The correct answer is (D). The circumference of a circle is the distance around defined by: $π \ast \text{diameter}$.

The diameter in this case can be found through the difference between the $x$ values:

$3 − (−3) = 6$, so $\pi \ast 6$ is the circumference.

The correct answer is (D). To find the total number of combinations, we multiply the total number of options for each meal available:

$4 \ast 5 \ast 3 = 60$