Test your basic knowledge |

SAT Math

Subjects : sat, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. If (Square Root: x-1)+5=12 - what is the value of x/2?
First - get the square root by itself on one side of the equation. Then - solve for x by squaring each side. Answer: 25
If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side.
Use the sum... If the average of 4 numbers is 7 - then the sum of those 4 numbers is 4*7 - or 28. Suppose that 3 of the numbers are 3 -5 - and 9. These 3 numbers add up to 16 of that 28 - 12 is the fourth number.
-An integer is divisible by 5 if the last digit is 5 or 0. - An integer is divisible by 10 if the last digit is 0.

2. Multiplying Expressions with Exponents that Have a Common Base
Area of a Triangle=1/29(base)(height) - The height is the perpendicular distance between the side that's chosen as the base and the opposite vertex.
Check the multiples of the larger number until you find one that's also a multiple of the smaller.
The whole number left over after division.
Add the exponents and keep the same base - x^3*x^4=x^3+4=x^7

3. What are Two Special Pythagorean Triples?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

4. PEMDAS
Put the equation into y=mx+b-- in which case b is the y-intercept.
If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side.
A rational number is a number that can be expressed as a ratio of two numbers or as a terminating or repeating decimal.
Parenthesis - Exponents - Multiplication/Division - Addition/Subtraction

5. Counting the Total Number of Possibilities for Several Events to Occur
If there are m ways one event can happen and n ways a second event can happen - then there are m*n ways for the 2 events to happen.
Put the equation into y=mx+b-- in which case b is the y-intercept.
Combine the equations so that one of the variables cancels out. 4x+3y=8 and x+y=3. Multiply equation 2 by -3... then add the two equations.
FOIL: First - Outer - Inner - Last... Combine Like Terms

6. Definition of an Integer
Just add or subtract the coefficients in front of the radicals.
'In a group of 260 boys - half of the boys are blonds.' 1/2 of 260 boys are blondes--> 130= # of blonds
Multiply 100 by .30 - then that # by .30 - then that # by .30=34.3. The answer is 34.3%
Integers are whole numbers and their opposites; they include negatives of whole numbers and zero.

7. Definition of an Irrational Number
Rewrite the number without the negative sign as the bottom of a fraction with 1 as the top.
Part=Percent x Whole
VofaC: (pie)r(2)h
Real numbers - Have locations on the number line - Cannot be expressed precisely as a fraction/decimal

8. Formula Used to Find Percent
Variables that have an inverse relationship will always have the same product. As one value gets larger - the other gets smaller. Set up and solve the equation 310=6x. Answer: 5
Average A per B= Total A/Total B so Average Speed = Total Distance/Total Time
VofaRS=lwh
Part=Percent x Whole

9. If 4(x(2)-10x+25) - then what is the value of x?
Remember that any non-zero base to the power of zero is equal to one. Set the exponent equal to zero and solve for x.
Use the units to keep things straight - Snowfall inches/hours
The value that falls in the middle of the set.
FOIL: First - Outer - Inner - Last... Combine Like Terms

10. Finding the Circumference of a Circle
Multiply and/or divide positives and negatives treat the number parts as usual - and attach a negative sign if there is an odd number of negatives
Real numbers - Have locations on the number line - Cannot be expressed precisely as a fraction/decimal
Use common multiples of 6 and 8 - and divide by 7 to find a remainder of 2. Answer: 72
2(pie)r

11. What is the positive difference between the answers to the equation 35+x(2)=12x?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

12. Finding the Median of a Set of Numbers
If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side.
Find a common denominator - then add or subtract the numerators.
Two relatively prime numbers are integers that have no common factor other than 1.
The value that falls in the middle of the set.

13. Comparing the values of two or more Fractions
Express them with a common denominator.
Cancel factors common to the numerator and denominator.
First - get the square root by itself on one side of the equation. Then - solve for x by squaring each side. Answer: 25
Multiply and/or divide positives and negatives treat the number parts as usual - and attach a negative sign if there is an odd number of negatives

14. Solving an Inequality
Use common multiples of 6 and 8 - and divide by 7 to find a remainder of 2. Answer: 72
Isolate the variable. When you multiply both sides by a negative number - you must reverse the inequality symbol.
Sum of the Angles of a Polygon: (n-2)*180 - n is the number of sides
The least common multiple of 2 -3 - and 5 is 30. Therefore - the least number of students in the class is 30+1=31.

15. Characteristics of a Square
Switch the numerator and denominator.
A(2)+b(2)=c(2)
First - substitute for the variable. Then evaluate the expression using the correct order of operations.
Rectangle with four equal sides. Perimeter: 4x the length of 1 side. area of a square is equal to one side squared.

16. Multiplying Binomials
First - substitute for the variable. Then evaluate the expression using the correct order of operations.
Average the smallest and largest number
FOIL: First - Outer - Inner - Last... Combine Like Terms
VofaRS=lwh

17. What is the slope of the line perpendicular to the line with linear equation 4x+2y=12?
Multiplying: Multiply the numbers under the different radicals. The product goes under one radical - Dividing: The quotient of more than one square root is equal to the square root of their total quotient.
Consecutive odd integers are odd integers in order in a row - such as 1 - 3 - and 5. The difference between any two consecutive odd integers is 2. Translate the question into an equation that expresses the relationship between the integers.
Ue the formula y=mx+b - and remember that the value of m is the slope of the line. The slopes of two perpendicular lines are negative reciprocals of one another.
Average A per B= Total A/Total B so Average Speed = Total Distance/Total Time

18. If 2+l6-xl=10 and x>0 - what is the value of 2x?
-An integer is divisible by 2 if the last digit is even - An integer is divisible by 4 if the last two digits form a multiple of 4.
Fraction to a Decimal: Divide the Denominator into the numerator - Decimal to a Fraction: Set the decimal over 1 and multiply the numerator and denominator by 10 raised to the number of digits to the right of the decimal point.
Get the absolute value equation by itself. Solve.
Length of an Arc: (n/360)(2pier) - n is the degree measure of the arc's central angle

19. Solving a Problem Involving Rates
Isolate the one variable on one side of the equation - leaving an expression containing the other variable on the other side of the equation.
Fraction to a Decimal: Divide the Denominator into the numerator - Decimal to a Fraction: Set the decimal over 1 and multiply the numerator and denominator by 10 raised to the number of digits to the right of the decimal point.
Use the units to keep things straight - Snowfall inches/hours
2(pie)r

20. What is the greatest of three consecutive odd integers where the sum of the third and twice the first is equal to nine more than twice the second?
Use the distributive property then combine the like terms.
-An integer is divisible by 2 if the last digit is even - An integer is divisible by 4 if the last two digits form a multiple of 4.
Consecutive odd integers are odd integers in order in a row - such as 1 - 3 - and 5. The difference between any two consecutive odd integers is 2. Translate the question into an equation that expresses the relationship between the integers.
Use the units to keep things straight - Snowfall inches/hours

21. Properties of the Interior and Exterior Angles of a Triangle
The 3 interior angles of a any triangle add up to 180 degrees. An exterior angle of a triangle is equal to the sum of the remote - that is - non-adjacent - interior angles.
The union of Set A and Set B is the set of elements that are in either or both Set A and Set B - The intersection of Set A and Set B is the set of elements common to both Set A and Set B
Sum of the Angles of a Polygon: (n-2)*180 - n is the number of sides
The sides of a 30-60-90 triangle are in a ratio of x:x(square root)3:2x.

22. What is the length of a leg of an isosceles rich triangle who's hypotenuse measures 24(square root: 2)?
Factor the expressions to factor is the difference of squares. a^2-b^2=(a+b)(a-b)
Start with 100%--> 100% + (10 percent of 100) = 110%... 110% + (20 percent of 110) = 132%.
Break down the integers into their prime factorizations - and multiply all prime factors they have in common.
x(2)+x(2)=(24square root: 2)(2)=576*2 2x(2)=1 -152 - x(2)=576 - Square Root 576= 24

23. Multiplying Fractions
Start with 100%--> 100% + (10 percent of 100) = 110%... 110% + (20 percent of 110) = 132%.
Put the number associated with the word of on top and the quantity associated with the word to on the bottom and simplify.
Multiply the numerators and multiply the denominators.
Slope=change in y/change in x

24. Expressing the Union and Intersection of Sets
The least common multiple of 2 -3 - and 5 is 30. Therefore - the least number of students in the class is 30+1=31.
They have the same shape - but not necessarily the same size. Their corresponding angles are equal and their corresponding sides are proportional.
Two relatively prime numbers are integers that have no common factor other than 1.
The union of Set A and Set B is the set of elements that are in either or both Set A and Set B - The intersection of Set A and Set B is the set of elements common to both Set A and Set B

25. Characteristics of a Rectangle
Remember that any non-zero base to the power of zero is equal to one. Set the exponent equal to zero and solve for x.
Switch the numerator and denominator.
Four-sided figure with four right angles. Perimeter: 2(length+width). Area: length*width.
Multiply the exponents - (x^3)^4=x^3*4=x^12

26. Finding the Volume of a Cylinder
VofaC: (pie)r(2)h
Consecutive odd integers are odd integers in order in a row - such as 1 - 3 - and 5. The difference between any two consecutive odd integers is 2. Translate the question into an equation that expresses the relationship between the integers.
-The Factors of integer n are the positive integers that divide into n with no remainder - The Multiples of n are the positive integers that n divides into with no remainder.
2(pie)r

27. Solving a Radical Equation
Isolate the radical expression and use the standard rules of algebra.
Set the quadratic equation equal to zero with the terms in order of decreasing exponents - and solve for the roots by factoring. Don't forget to then find the difference in the roots by subtracting them. Ans: 2
Switch the numerator and denominator.
The sides of a 30-60-90 triangle are in a ratio of x:x(square root)3:2x.

28. Dividing Fractions
(pie)r(squared)
Use the sum... If the average of 4 numbers is 7 - then the sum of those 4 numbers is 4*7 - or 28. Suppose that 3 of the numbers are 3 -5 - and 9. These 3 numbers add up to 16 of that 28 - 12 is the fourth number.
VofaC: (pie)r(2)h
Change the division sign to a multiplication sign - invert the second fraction - and multiply.

29. Determining Absolute Value of a Number
Factor out and cancel all factors the numerator and denominator have in common.
VofaC: (pie)r(2)h
Distance of the Number from Zero on the Number Line. AV is always positive. AV of 7: I7I
A rational number is a number that can be expressed as a ratio of two numbers or as a terminating or repeating decimal.

30. What Does Solving In Terms of Mean?
Isolate the one variable on one side of the equation - leaving an expression containing the other variable on the other side of the equation.
(pie)r(squared)
Average the smallest and largest number
-Increasing: Add the percent to 100 percent - convert to a decimal - and multiply - Decrease: Subtract the percent from 100 percent - convert to a decimal - and multiply.

31. If x(2)=7x+18 - what is the positive value of x?
Multiply and/or divide positives and negatives treat the number parts as usual - and attach a negative sign if there is an odd number of negatives
Rectangle with four equal sides. Perimeter: 4x the length of 1 side. area of a square is equal to one side squared.
To solve a quadratic equation - set the equation equal to zero and solve for the numbers of the expression.
Put the equation into the slope-intercept form: y=mx+b. The slope is m.

32. Finding the Area of a Circle
(pie)r(squared)
Variables that have an inverse relationship will always have the same product. As one value gets larger - the other gets smaller. Set up and solve the equation 310=6x. Answer: 5
Start with 100%--> 100% + (10 percent of 100) = 110%... 110% + (20 percent of 110) = 132%.
Average the smallest and largest number

33. Finding the LCM of Two or More Numbers

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

34. Finding the y-intercept When Given an Equation of a Line
Put the equation into y=mx+b-- in which case b is the y-intercept.
Multiply the numerators and multiply the denominators.
Area of a Triangle=1/29(base)(height) - The height is the perpendicular distance between the side that's chosen as the base and the opposite vertex.
Switch the numerator and denominator.

35. What is the Pythagorean Theorem?
Values of x the take the denominator of a faction equal to zero - thereby dividing by zero which is not possible - are not in the domain of a function. Set the denominator equal to zero and solve for x. Ans: 3
Four-sided figure with four right angles. Perimeter: 2(length+width). Area: length*width.
Factor out and cancel all factors the numerator and denominator have in common.
A(2)+b(2)=c(2)

36. Finding the Reciprocal of a Fraction
-Increasing: Add the percent to 100 percent - convert to a decimal - and multiply - Decrease: Subtract the percent from 100 percent - convert to a decimal - and multiply.
Set the quadratic equation equal to zero with the terms in order of decreasing exponents - and solve for the roots by factoring. Don't forget to then find the difference in the roots by subtracting them. Ans: 2
Switch the numerator and denominator.
Average A per B= Total A/Total B so Average Speed = Total Distance/Total Time

37. If r#t=t(r)-r(t) - then what is 4#3?
Find a common denominator - then add or subtract the numerators.
Direct Variation- y=kx - where k is constant. As x gets larger - y gets larger. If the number of units of B were to double - the number of units of A would double - Inverse Variation- xy=k - where k is a constant. As x gets larger - y gets smaller. A
Substitute r=4 and t=3 and evaluate the exponents before subtracting the expression.
Four equal acute angles and four equal obtuse angles.

38. Adding and Subtracting Polynomials
Multiplying: Multiply the numbers under the different radicals. The product goes under one radical - Dividing: The quotient of more than one square root is equal to the square root of their total quotient.
Combine like terms.
Scalene- No sides or angles are equal - Isosceles- Have two equal sides. The angles opposite the equal sides are also equal - Equilateral- All three sides and angles are equal.
Multiply the numerators and multiply the denominators.

39. If x varies directly with y - and the value of x is 12 when y is 11 - what is the value of y when x is 66?
Cancel factors common to the numerator and denominator.
Put the number associated with the word of on top and the quantity associated with the word to on the bottom and simplify.
If two values vary directly - the values increase at the same rate. Express the relationship as x/y - and use a proportion to solve.
Part=Percent x Whole

40. Counting Consecutive Integers
Use the units to keep things straight - Snowfall inches/hours
If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side.
Subtract the smallest from the largest and add 1
Put the number associated with the word of on top and the quantity associated with the word to on the bottom and simplify.

41. Properties of Similar Triangles
Get the absolute value equation by itself. Solve.
Multiply and/or divide positives and negatives treat the number parts as usual - and attach a negative sign if there is an odd number of negatives
They have the same shape - but not necessarily the same size. Their corresponding angles are equal and their corresponding sides are proportional.
The sides of a 30-60-90 triangle are in a ratio of x:x(square root)3:2x.

42. Knowing Whether the Sum - Difference - or Product of Several Numbers will be Even/Odd
Use simple numbers like 1 and 2 and see what happens.
Just add or subtract the coefficients in front of the radicals.
Multiply the whole number part by the denominator - then add the numerator. Keep the same denominator.
First - get the square root by itself on one side of the equation. Then - solve for x by squaring each side. Answer: 25

43. Finding the Volume of a Rectangular Solid
Sum of the Angles of a Polygon: (n-2)*180 - n is the number of sides
VofaRS=lwh
Get the absolute value equation by itself. Solve.
Variables that have an inverse relationship will always have the same product. As one value gets larger - the other gets smaller. Set up and solve the equation 310=6x. Answer: 5

44. Finding the Mode of a Set of Numbers
In a 30-60-90 triangle - the measure of the longer leg is 7(square root: 3) - then the length of the shorter side or shorter leg must be 7.
Rewrite the number without the negative sign as the bottom of a fraction with 1 as the top.
The value that appears the most often.
Average A per B= Total A/Total B so Average Speed = Total Distance/Total Time

45. Average Rate and How Do You Find It
First - get the base numbers to be the same. Then - set the exponents equal to each other and solve for x. Answer: 4
Set the quadratic equation equal to zero with the terms in order of decreasing exponents - and solve for the roots by factoring. Don't forget to then find the difference in the roots by subtracting them. Ans: 2
Rectangle with four equal sides. Perimeter: 4x the length of 1 side. area of a square is equal to one side squared.
Average A per B= Total A/Total B so Average Speed = Total Distance/Total Time

46. Adding and Subtracting Monomials
Divide the denominator into the numerator to get a whole number quotient with a remainder. The quotient becomes the whole number of the mixed number. Remainder becomes the numerator.
Put the equation into the slope-intercept form: y=mx+b. The slope is m.
Isolate the one variable on one side of the equation - leaving an expression containing the other variable on the other side of the equation.
Make sure that the terms to be combined have exactly the same variables. 2a+3a=(2+3)a=5a

47. Finding the Sum of the Average of a Series of Numbers
The sides of a 30-60-90 triangle are in a ratio of x:x(square root)3:2x.
Average the smallest and largest number
Multiplying: Multiply the numbers under the different radicals. The product goes under one radical - Dividing: The quotient of more than one square root is equal to the square root of their total quotient.
Sum: Average x Number of Terms

48. Convert From a Fraction to a Decimal - Vice Versa
The union of Set A and Set B is the set of elements that are in either or both Set A and Set B - The intersection of Set A and Set B is the set of elements common to both Set A and Set B
Switch the numerator and denominator.
Fraction to a Decimal: Divide the Denominator into the numerator - Decimal to a Fraction: Set the decimal over 1 and multiply the numerator and denominator by 10 raised to the number of digits to the right of the decimal point.
Subtract the exponents and keep the same base.y^13/y^8=y^13-8=y^5

49. Prime Factorization of a Number
Slope=change in y/change in x
The value that appears the most often.
To find the prime factorization of an integer - keep breaking it up into factors until all the factors are prime numbers.
-Increasing: Add the percent to 100 percent - convert to a decimal - and multiply - Decrease: Subtract the percent from 100 percent - convert to a decimal - and multiply.

50. How do you know if an integer is a multiple of 3 or 9?
2(pie)r
An integer is divisible by 3 if the sum of its digits is divisible by 3 - - An integer is divisible by 9 is the sum of its digits is divisible by 9.
Factor out the perfect squares under the radical - take their square roots - and put the result in front.
They have the same shape - but not necessarily the same size. Their corresponding angles are equal and their corresponding sides are proportional.

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Major Subjects
Tests & Exams AP CLEP DSST GRE SAT GMAT	Certifications CISSP go to https://www.isc2.org/ PMP ITIL RHCE MCTS More...	IT Skills Android Programming Data Modeling Objective C Programming Basic Python Programming Adobe Illustrator More...	Business Skills Advertising Techniques Business Accounting Basics Business Strategy Human Resource Management Marketing Basics More...
Soft Skills Body Language People Skills Public Speaking Persuasion Job Hunting And Resumes More...	Vocabulary GRE Vocab SAT Vocab TOEFL Essential Vocab Basic English Words For All Global Words You Should Know Business English More...	Languages AP German Vocab AP Latin Vocab SAT Subject Test: French Italian Survival Norwegian Survival More...	Engineering Audio Engineering Computer Science Engineering Aerospace Engineering Chemical Engineering Structural Engineering More...
Health Sciences Basic Nursing Skills Health Science Language Fundamentals Veterinary Technology Medical Language Cardiology Clinical Surgery More...	English Grammar Fundamentals Literary And Rhetorical Vocab Elements Of Style Vocab Introduction To English Major Complete Advanced Sentences Literature Homonyms More...	Math Algebra Formulas Basic Arithmetic: Measurements Metric Conversions Geometric Properties Important Math Facts Number Sense Vocab Business Math More...	Other Major Subjects Science Economics History Law Performing-arts Cooking Logic & Reasoning Trivia

Test your basic knowledge |

SAT Math

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests

Major Subjects

Tests & Exams

Certifications

IT Skills

Business Skills

Soft Skills

Vocabulary

Languages

Engineering

Health Sciences

English

Math

Other Major Subjects

Browse all subjects

Browse all tests

Most popular tests