TEAS® Math Practice Test

The correct answer is (C). This can be solved with a calculator or subtraction by regrouping.

The correct answer is (D). First divide both sides by 3:

$\require{cancel} \dfrac{\cancel{3}(x − 4)}{\cancel{3}} = \dfrac{18}{3}$

$x − 4 = \dfrac{18}{3}$

$x − 4 = 6$

Then solve for $x$:

$x − 4 = 6$

$x = 6 + 4$

$x = 10$

The correct answer is (B). The above graph is known as a scatterplot, which is a plot of points on $x$ and $y$ axes. In this case, each point would have an $x$ value equal to the temperature in degrees Celsius, and a $y$ value equal to the amount of money in dollars.

The correct answer is (B). The “FOIL method” is the easiest way to remember how to multiply two-termed expressions. Multiply the First two terms, then the Outer two terms, then the Inner two terms, and then the Last two terms, then sum all four to arrive at the answer:

$15x^2 + 10x − 3x − 2$

$= 15x^2 + 7x − 2$

The correct answer is (B). Because Timmy is interrupted during each hour, he can only make four paper airplanes per hour, multiplied by 3 hours, for a total of 12 airplanes. John makes seven paper airplanes during the two hours he works without chores, for a total of 14 airplanes. 14 airplanes minus 12 airplanes equals 2.

The correct answer is (D). Given that it took 5 hours to travel 360km, we can set up a ratio equation to figure out how far the car will travel in 9 hours:

$\dfrac{360}{5} = \dfrac{x}{9}$

$72 = \dfrac{x}{9}$

$72 \ast 9 = x$

$x = 648$

The correct answer is (A). Plug in °C = 30 into the given formula and solve for °F:

$\text{°F} = (\text{°C} * \frac{9}{5} + 32)$

$\text{°F} = (30 * \frac{9}{5} + 32)$

$\text{°F} = 54 + 32$

$\text{°F} = 86$

The correct answer is (B). The sample indicates that 5 out of every 300 randomly selected toys will be faulty. Consequently, a proportion can be set up that relates the unknown number of faulty toys in the total number of toys to the ratio of faulty toys to the sample:

$\dfrac{5}{300} = \dfrac{T}{15{,}000}$

$T$ is the unknown number of faulty toys in the total. Multiply both sides by 15,000 and then divide the left side by 300 to solve for $T$:

$\dfrac{15{,}000 \ast 5}{300} = T$

$\dfrac{50 \ast 5}{1} = T = 250$

The correct answer is (B). Three comics at \$2.65 would equal a total of \$7.95. The change would equal:

$\$20 − \$7.95 = \$12.05$

The correct answer is (C). The first step is to convert the mixed fraction 7$\frac{1}{4}$ into an improper fraction. To do this:

1. Multiply the whole number by the denominator.
2. Add the answer from step 1 to the numerator.
3. Write the answer from step 2 above the denomintor.

$7 \ast 4 + 1 = 29 → \dfrac{29}{4}$

To mulitply fractions simply multiply across the top and the bottom:

$\dfrac{29}{4} \ast \dfrac{1}{18} = \dfrac{29 \ast 1}{4 \ast 18}$ $=\dfrac{29}{72}$

The correct answer is (C). 5 ÷ 8 = 0.625, which equals 62.5%. Rounding up gives us 63%.

The correct answer is (B). First, we must calculate the area of the walls Amanda wants to paint. Two of the walls are 10 x 10 and two of the walls are 10 x 15:
2 (10 x 10) = 200
2 (10 x 15) = 300
So the total square footage of the walls is 500.

If a half gallon of paint will cover 55 square feet, then each gallon will cover 110 square feet. Four gallons would only cover 440 square feet. Five gallons will cover 550 square feet, which will be enough for all 500 square feet of walls.

The correct answer is (B). The prefix “milli—” means one-thousandth. A millimeter is one-thousandth of a meter, which means there are 1,000 millimeters in 1 meter. So there must be 5,000 millimeters in 5 meters.

The correct answer is (D). If Kyra buys $n$ pairs of shoes at a cost of \$40 each, she pays \$40$n$. Since she only has \$300 to spend, \$40$n$ must be less than or equal to \$300:

$40n ≤ 300$

The correct answer is (C). Remember your order of operations:

• Complete operations within parentheses first.
• Calculate exponents.
• Then multiply and divide in order from left to right.
• Then add and subtract in order from left to right.

$2 − 8 ÷ (2^4 ÷ 2) =$
$2 − 8 ÷ (16 ÷ 2) =$
$2 − 8 ÷ 8 =$
$2 − 1 =$
$1$

The correct answer is (A). A pie chart represents percentages of a total, and would thus be the best graphic representation of a budget breakdown.

The correct answer is (B). The smallest number is the greatest negative value:
$−\frac{1}{4} (−0.25)$

The next smallest is:
$−0.2$

The largest value is:
$π (3.14)$

The correct answer is (A). When subtracting polynomials the first step is to distribute the negative sign through the parentheses. This changes the sign on each term inside the parentheses:

$7y^2 + 3xy − 9 − 2y^2 − 3xy + 5$

Arrange like terms next to each other (optional):

$7y^2 − 2y^2 + 3xy − 3xy − 9 + 5$

Combine like terms to compute the answer:

$5y^2 − 4$

The correct answer is (C). Absolute value equations can be rewritten in two ways to solve:

$2x − 5 = 19\;$ and $\;2x − 5 = −19$

Solve both:

$2x − 5 = 19$
$2x = 24$
$x = 12$

$2x − 5 = −19$
$2x = −14$
$x = −7$

The two solutions are: $−7$ $\text{and}$ $12$

The correct answer is (A). The easiest way to answer this question is to round the numbers. Let’s say the tip is \$10 and the total was \$87. \$10/$87 = approximately 11%. (A) is the closest answer to our approximation.

The correct answer is (B). First you must calculate how many hours the nurse works each week. Three 8-hour shifts plus one 12-hour shift equals 36 hours per week.
Beginning Salary = 36 x \$17.81 = \$641.16
Deductions = \$102.80 + \$24.58 + \$18.13 + \$52.15 = \$197.66
Take-Home Pay = \$641.16 − \$197.66 = \$443.50

The correct answer is (A). There are 1,000 liters in 1 kiloliter:
1,400 liters = 1.4 kiloliters.
1.4 x 220 = 308 imperial gallons

The correct answer is (B). The easiest way to make an estimate is to round each number so there is only one nonzero digit. Then you can easily add up the numbers:

$73 ≈ 70$
$66 ≈ 70$
$96 ≈ 100$
$17 ≈ 20$
$66 ≈ 70$

$70 + 70 + 100 + 20 + 70 = 330$

The correct answer is (A). To solve an inequality, simply treat the inequality symbol as if it’s an equals sign:

$5y − 8 > 32$
$5y > 40$
$y > 8$

The correct answer is (D). If there are 48 total, and 28 study French, then 20 study Spanish. The ratio of 20 to 48 can be written as a fraction and then simplified:

$\dfrac{20}{48} = \dfrac{10}{24} = \dfrac{5}{12}$

The correct answer is (C). First you must convert the fraction to a decimal by moving the decimal point 2 places to the left, which gives you 1.815. Then multiply this by 18:

$1.815 × 18 = 32.67$

The correct answer is (C). In order to convert a decimal to a percent you need to move the decimal point two places to the right and add the percent symbol.

The correct answer is (B). The cost for each adult is \$11.00 and there are 7 adults:

$7 × \$11 = \$77$

The cost for each child is \$7.00 (\$5.00 for food plus \$2.00 for the party favors) and there are 14 children:

$13 × \$7 = \$91$

$\text{Total Cost} = \$77 + \$91 = \$168$

The correct answer is (D). According to the order of operations, do what is inside the parenthesis first:

$7 × 4 + (3) + 13$

Next, move left to right, doing any multiplication or division:

$28 + 3 + 13$

Finally, move left to right, doing any addition or subtraction:

$31 + 13 = 44$

The correct answer is (C). In the Roman numeral system, M = 1000, D = 500, C = 100, L = 50, X = 10, V = 5, and I = 1. The ones, tens, hundreds and thousands must be treated as separate items. If a smaller item precedes a larger item, as in CM, it is treated as the difference of the two, so CM = 1000 − 100 = 900.

1000=M
900= CM
6=VI

The correct answer is (B). To add mixed number fractions, first convert them to improper fractions, then find a common denominator and add the numerators, placing them over the common denominator. Reduce the final fraction if necessary.

$3\dfrac{2}{5} = \dfrac{17}{5} \qquad$ $1\dfrac{4}{7} = \dfrac{11}{7}$

Now find the lowest common denominator between 5 and 7. Since they are both prime numbers, their lowest common denominator is their product, 35. We can rewrite both fractions:

$\dfrac{17}{5} = \dfrac{119}{35} \qquad$ $\dfrac{11}{7} = \dfrac{55}{35}$

Now that the denominators are the same, we can add the numerators:

$\dfrac{119 + 55}{35} = \dfrac{174}{35}$