TEAS 6 Practice Test 2 Math

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1. Evaluate the expression. 102 + 3 + 84 + 27.

Explanation

B. The correct solution is 216. Use the addition algorithm. Add the numbers two at a time or all at once. The latter approach will involve two carry digits. See Lesson: Basic Addition and Subtraction.

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TEAS 6 Practice Test 2 Math - Quiz

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2. What is 96 ÷ 12?

Explanation

A. Use the division algorithm. Knowing the multiplication table well helps you recognize these numbers. See Lesson: Basic Multiplication and Division.

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3. Which sequence is in the correct order from least to greatest?

Explanation

A. The correct solution is –10, 0, 1, 8. One approach is to place the numbers on the number line and make sure they appear from left to right in the same order they appear in the answers above. Alternatively, note that negative numbers are less than positive numbers (and 0), then order the remaining numbers. See Lesson: Basic Addition and Subtraction.

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4. In a word game, a player loses 8 points when using an invalid word. If there were 65 invalid words, how many points were lost during the game?

Explanation

A. The correct solution is -520 because -8 × 65 = -520 points. See Lesson: Solving Real World Mathematical Problems.

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5. Subtract.

Explanation

C. See Lesson: Adding and Subtracting Fractions

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6. The circle graph shows the number of votes for each candidate. How many votes were cast for candidate D if there were 25,000 voters?

Explanation

C. The correct solution is 7,000 votes because 28% of 25,000 is 7,000 voters. See Lesson: Interpreting Graphics.


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7. Identify 1435 in 12-hour clock time.

Explanation

D. The correct solution is 2:35 p.m. Subtract 1200 from the time, 1435-1200 = 2: 35 p.m. See Lesson: Standards of Measure.

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8. The table shows the expenses and revenue for the first six months of a year in millions of dollars. Select the correct bar graph for this data.
Month January February March April May June
Revenue 5 4.5 6 6 6.5 7
Expenses 4 5 5.5 6 5 5.5

Explanation

C. The correct solution is C because the bar graph displays the values of the revenue and expenses correctly. See Lesson: Interpreting Graphics.

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9.

Explanation

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10. Divide. 

Explanation

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11. A mixture for a cake has various parts. Select the correct circle graph for the data.

Explanation

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12. Which fraction is the greatest? 

Explanation

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13. The temperature on Monday was -7°F, and it increased by 18°F by Tuesday afternoon. What is the temperature in F° on Tuesday afternoon?

Explanation

C. The correct solution is 11 because -7 + 18 = 11°F. See Lesson: Solving Real World Mathematical Problems.

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14. How many millimeters are in a measurement that is 4 centimeters, 3 meters, and 7 millimeters long? (Note that a centimeter is 10 millimeters and a meter is 1,000 millimeters.)

Explanation

C. The correct solution is 3,047. Place the digits in base-10 format, using the number of meters in the thousands place, the number of centimeters in the tens place, and the number of millimeters in the ones place. The measurement is 3,047 millimeters long. See Lesson: Basic Addition and Subtraction.

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15. Draw a triangle with the coordinates (-5, 0), (-1, 0), (5,3).

Explanation

A. The first two points are on the negative x-axis, and the third point is in the first quadrant. See Lesson: Similarity, Right Triangles, and Trigonometry.

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16. A diver was at 125 feet below sea level. The diver dove down another 350 feet. Where was the diver located? 

Explanation

A. The correct solution is 475 feet below sea level because -125 - 350 = -475 feet. See Lesson: Solving Real World Mathematical Problems.

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17. Multiply.

Explanation

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18. The line chart shows the number of cars sold each month. Which statement is true?

Explanation

C. The correct solution is the months with the smallest decreases all sold 5 fewer cars. There was a decline of 5 cars from January to February, June to July, and from November to December. See Lesson: Interpreting Graphics.

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19. Solve the equation for the unknown. b + 5 = -15

Explanation

B. The correct solution is -20 because 5 is subtracted from both sides of the equation. See Lesson: Equations with One Variable.

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20. Multiply. 3x2y(4xy2 - 5xy)

Explanation

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21. Which fraction is the least?

Explanation

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22. Change the following to a fraction and simplify completely. 

Explanation

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23. Apply the polynomial identity to rewrite x2+ 20x + 100.

Explanation

B. The correct solution is (x + 10)2. The expression x2+ 20x + 100 is rewritten as (x + 10)2 because the value of a is and the value of b is 10. See Lesson: Polynomials.


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24. Perform the operation. (-3x2 - 2xy + 4y2) + (5x2 + 3xy -3y2)

Explanation

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25. Solve the system of equations. x = -y - 7 -x +4y = 22

Explanation

B. The correct solution is (-10, 3).

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26. Which statement best describes a remainder in division? 

Explanation

D. When dividing whole numbers, the remainder is the portion of the dividend left over after finding the whole-number part of the quotient. The remainder is always smaller than the divisor. See Lesson: Basic Multiplication and Division.

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27. Convert 48 inches to yards.

Explanation

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28. Identify a chord of the circle.

Explanation

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29. Find the circumference in centimeters of a circle with a radius of 11 centimeters. Use 3.14 for π.

Explanation

D. The correct solution is 69.08 because C = 2πr ≈ (2)3.14(11) ≈ 69.08 centimeters. See Lesson: Circles.

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30. Simplify. (63)-1

Explanation

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31. Given the coordinates for a rectangle (-4, -1), (-9, -1), (-9,-8), and (-4,-8), find the length of each side of the rectangle.

Explanation

D. The correct solution is 5 units and 7 units. The difference between the x-coordinates is -4 - (-9) = 5 units, and the difference between the y-coordinates is -1 - (-8) = 7 units. See Lesson: Similarity, Right Triangles, and Trigonometry.

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32. Evaluate the expression.  12 ÷ 4 x 3 + 1

Explanation

C. Carefully follow the order of operations. First, multiply and divide from left to right. Then, add.

12  ÷ 4  × 3 + 1

3  × 3 + 1

9 + 1

10

See Lesson: Basic Multiplication and Division.

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33. If a company's automobile fleet includes 132 cars of brand A and 48 cars of brand B, what is the fleet's ratio of brand B to brand A?

Explanation

A. The ratio is 4:11. A ratio is like a fraction of two numbers, although in this case the answer uses colon notation. The ratio of brand B to brand A is the number of brand-B cars divided by the number of brand-A cars. Reduce to lowest terms:



See Lesson: Ratios, Proportions, and Percentages.

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34. One athlete had a salary of about 3m107 dollars per year and another athlete had a salary of about 2m106 dollars per year. How many times larger is the salary of the first athlete?

Explanation

D. The correct solution is 15 because the first athlete’s salary is about $30,000,000 and the second athlete’s salary is about $2,000,000. So, the first athlete’s salary is about 15 times larger. See Lesson: Powers, Exponents, Roots, and Radicals.

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35. If 1 out of every 250 people will contract a certain disease, what percent of people will contract it?

Explanation

B. If 1 out of every 250 contract a disease, the fraction of people is 1/250, which is equal to 0.004. Multiply by 100% to get 0.4%. See Lesson: Ratios, Proportions, and Percentages.

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36. Solve the inequality for the unknown. 

Explanation

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Evaluate the expression. 102 + 3 + 84 + 27.
What is 96 ÷ 12?
Which sequence is in the correct order from least to greatest?
In a word game, a player loses 8 points when using an invalid word. If...
Subtract.
The circle graph shows the number of votes for each candidate. How...
Identify 1435 in 12-hour clock time.
The table shows the expenses and revenue for the first six months of a...
Divide. 
A mixture for a cake has various parts. Select the correct circle...
Which fraction is the greatest? 
The temperature on Monday was -7°F, and it increased by 18°F...
How many millimeters are in a measurement that is 4 centimeters, 3...
Draw a triangle with the coordinates (-5, 0), (-1, 0), (5,3).
A diver was at 125 feet below sea level. The diver dove down another...
Multiply.
The line chart shows the number of cars sold each month. Which...
Solve the equation for the unknown. b + 5 = -15
Multiply. 3x2y(4xy2 - 5xy)
Which fraction is the least?
Change the following to a fraction and simplify completely. 
Apply the polynomial identity to rewrite x2+ 20x + 100.
Perform the operation. (-3x2 - 2xy + 4y2) + (5x2 + 3xy -3y2)
Solve the system of equations. x = -y - 7 -x +4y = 22
Which statement best describes a remainder in division? 
Convert 48 inches to yards.
Identify a chord of the circle.
Find the circumference in centimeters of a circle with a radius of 11...
Simplify. (63)-1
Given the coordinates for a rectangle (-4, -1), (-9, -1), (-9,-8), and...
Evaluate the expression.  12 ÷ 4 x 3 + 1
If a company's automobile fleet includes 132 cars of brand A and 48...
One athlete had a salary of about 3m107 dollars per year and another...
If 1 out of every 250 people will contract a certain disease, what...
Solve the inequality for the unknown. 
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