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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 5001. |
Solve the following equation: 6y - 20 = 2y - 4 |
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Answer» Solve the following equation: 6y - 20 = 2y - 4 Solution: |
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| 5002. |
How to determine whether f(x)= x3+ 5x + 1 is an even function? |
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Answer» To determinewhether f(x)= x3+ 5x + 1 is an even function, we will check iff(-x)= (-x)3+ 5(-x) + 1 is equivalent to f(x)= x3+ 5x + 1. Functions are very important concepts that are extensively used in calculus and algebra. There are many types of functions, among which even and odd functions are included. Let's see how to determine if a function is even or not. |
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| 5003. |
Find an Equation of the Line Passing through the given Points. (1, 1), (8, −3). |
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Answer» The Equation of the Line Passing through the given Points(1, 1), (8, −3) is 4x + 7y = 11. We will be using the concept of the Point-Slope Form of a lineto solve this. |
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| 5004. |
Find an equation of the line that passes through the point (7, 2) and has the indicated slope -3. |
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Answer» The equation in slope-intercept form of the line through the point P(7, 2) with slope -3 is given asy = -3x + 23. We will use the concept of the point-slope form of a straight line to find the equation. |
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| 5005. |
How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? |
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Answer» How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? Solution: |
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| 5006. |
What is the f of x over the g of x when f(x) = 6x³ -19x² + 16x -4 and g(x) = x -2? |
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Answer» What is the f of x over the g of x when f(x) = 6x³ -19x² + 16x -4 and g(x) = x -2? Solution: |
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| 5007. |
Estimate the Area under the Graph of f(x) = 1/x from x = 1 to x = 2. |
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Answer» The Area under the Graph of f(x) = 1/x from x = 1 to x = 2 is 0.693 We will be using the area under the curve formula to solve this. |
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| 5008. |
What is the formula for the surface area of a cylinder? |
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Answer» The surface area of a cylinder is 2πr(r+h). The surface area of any 3-d object is the total area of all of its surfaces. |
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| 5009. |
What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x minus 1 over x plus 5? |
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Answer» What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x minus 1 over x plus 5? Solution: |
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| 5010. |
A.Both can have two solutions. B.Both can be solved by graphing. C.Both have solutions at the points of intersection. D.Both can be solved by substitution. |
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Answer» Options that are correct We will use the concept of linear equations and quadratic equations to find in which ways linear equations and quadratic equations are similar. |
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| 5011. |
In which of the following ways are linear systems similar to quadratic. Select all that apply. |
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Answer» Options that are correct We will use the concept of linear equations and quadratic equations to find in which ways linear equations and quadratic equations are similar. |
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| 5012. |
Evaluate the function rule for the given value,f(x) = 3x for x = –5 |
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Answer» The function value of f(x) for x = -5 is f(-5) = -15 We will substitute the value of x in f(x) and find the function value |
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| 5013. |
Find the fifth root of 243(cos 300° + i sin 300°). |
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Answer» Find the fifth root of 243(cos 300° + i sin 300°). Solution: |
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| 5014. |
What is the smallest unit of measurement in the metric system? |
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Answer» What is the smallest unit of measurement in the metric system? Solution: |
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| 5015. |
Use an algebraic equation to find the measure of each angle that is represented in terms of x. |
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Answer» Use an algebraic equation to find the measure of each angle that is represented in terms of x.
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| 5016. |
What is 1/8 in decimal form? |
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Answer» 1/8 in decimal form is 0.125. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint |
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| 5017. |
Find the cube roots of 27(cos 279° + i sin 279°). |
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Answer» Find the cube roots of 27(cos 279° + i sin 279°). Solution: |
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| 5018. |
What is halfof 3? |
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Answer» Half of 3is 3/2 as a fraction and 1.5 as a decimal. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 5019. |
How to find the value of cos 120° degree? |
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Answer» The value of cos 120 degrees is -1/2. Cosine is one of the most important functions of trigonometrywhich deals with the relationship between the angles and the sides of a right-angled triangle. |
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| 5020. |
What is the logarithmic form of the equation e2x ≈ 1732? |
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Answer» What is the logarithmic form of the equation e2x ≈ 1732? Solution: |
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| 5021. |
Explain The Relation Between Liter, dm3, and mL |
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Answer» The relation between Liter, dm3 and mL is 1 litre = 1dm3 = 1000 ml , Litre, decimeter cube (dm3), and milliliter (ml) are units of Volume. |
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| 5022. |
Which equation represents the axis of symmetry of the function y = -2x2 + 4x - 6? y = 1, x = 1, x = 3, x = -3 |
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Answer» Which equation represents the axis of symmetry of the function y = -2x2 + 4x - 6? Solution: |
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| 5023. |
What is 20% of 10? |
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Answer» 20% of 10 is 2. A percentis a ratio of a number expressed out of100. |
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| 5024. |
A swimming pool has the dimensions of 10 meters, 5 meters, and 1 meter. What is the pool's volume? |
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Answer» A swimming pool has the dimensions of 10 meters, 5 meters, and 1 meter. What is the pool's volume? Solution: |
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| 5025. |
How to turn an improper fraction into a proper fraction? |
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Answer» We cannot convert an improper fraction into a proper fraction Proper fractions are the ones that have a numerator smaller than the denominator. Improper fractions are the ones that have a numerator greater than the denominator. |
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| 5026. |
What is 5.4 as a fraction?? |
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Answer» 5.4 as a fraction is 27/5. We will be using the concept offractions.A fraction is denoted as x/y, where x and y are whole numbers and y is not equal to 0. |
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| 5027. |
What is the sum of the geometric sequence -3, 18, -108, ... if there are 8 terms? |
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Answer» What is the sum of the geometric sequence-3, 18,-108, ... if there are 8 terms? Solution: |
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| 5028. |
What is20 of 10? |
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Answer» 20 of 10is 200. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 5029. |
What is 0.015625 as a fraction? |
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Answer» 0.015625 as a fraction is 1/64. We will be going to use the concept offractions. A fraction is always denoted as p/q. |
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| 5030. |
What is the angle of rotation of the minute hand of a clock moving from 6:10 to 7:00? |
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Answer» What is the angle of rotation of the minute hand of a clock moving from 6:10 to 7:00? Solution: |
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| 5031. |
What is the measure of angle AFE? 79°, 81°, 91°, 99° |
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Answer» What is the measure of angle AFE?
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| 5032. |
Find an equation of the line with the given slope of -7 that passes through the point (-3, -4) |
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Answer» The equationof the linein slope-intercept form passing through the point P(-3, -4) with slope -7 is given as y = -7x- 25. We will use the concept of the point-slope form of a straight line to find the equation. |
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| 5033. |
How do you expand (x - 1)3using binomial expansion? |
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Answer» The value of (x - 1)3 is x3- 3x2+ 3x – 1. Thebinomial theoremorbinomial expansionexpressesthe algebraic expansion of powers of a binomial. |
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| 5034. |
What is 1/ 2 of 2 /3 in a fraction? |
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Answer» The value of 1/2 of 2/3 in terms of a fraction is 1/3. Fractionsrepresent equal parts of a whole quantity. |
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| 5035. |
Sides AB and BC and Median AD of a triangle ABC are proportional to sides PQ andPR and median PM of triangle PQR. Prove triangle ABC ~ triangle PQR. |
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Answer» IfΔABC and ΔPQR in which AB, BC, and median AD of ΔABC are proportional to sides PQ, QR, and median PM of ΔPQR thenΔABC ∼ ΔPQR. The proof of the statement is based on similarity in triangles. |
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| 5036. |
What is the difference between a yard and a meter? |
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Answer» The difference between meter and yard is that the meter is a SI unit of lengthand a yard is a unit of length. Also, 1 meter is about 1.09 yards. Both meter and yard are the units of measurementand are used to measure length, distance, height, etc. |
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| 5037. |
What is 3.5 as a Fraction? |
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Answer» 3.5 as a fraction is 7/2. Fractions represent any quantity as a part of the whole. |
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| 5038. |
Find the coordinates of the point equidistant from point A(1, 2), B(3, -4), and C(5, -6)? |
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Answer» The coordinates of the point equidistant from point A(1, 2), B(3, -4), and C(5, -6) are P(11, 2). We will be using thedistance formula for finding thecoordinates of the point. |
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| 5039. |
What is 20% of 120? |
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Answer» 20% of 120 is 24. A percentis a ratio of a number expressed out of100. |
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| 5040. |
What is the quotient (72y3 + 12y2 - 30y) ÷ 6y? |
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Answer» What is the quotient (72y3 + 12y2 - 30y) ÷ 6y? Solution: |
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| 5041. |
What is the result when 2x3- 9x2+ 11x - 6 is divided by x - 3? |
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Answer» What is the result when 2x3- 9x2+ 11x - 6 is divided by x - 3? Solution: |
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| 5042. |
3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property? |
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Answer» 3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property? Solution: |
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| 5043. |
What is the Equation in Point-Slope Form of the Line Passing through (0, 6) and (1, 3)? |
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Answer» The Equation in Point-Slope Form of the Line Passing through (0, 6) and (1, 3) isy = -3x + 6 We will be using the concept of the Point-Slope Form of a lineto solve this. |
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| 5044. |
Calculate the return on sales for a business that has net income of $25,000 and sales of $60,000. |
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Answer» Calculate the return on sales for a business that has net income of $25,000 and sales of $60,000. Solution: |
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| 5045. |
Given the equation x - 4 =√2x, solve for x and identify if it is an extraneous solution. |
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Answer» Given the equation x - 4 =√2x, solve for x and identify if it is an extraneous solution. Solution: |
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| 5046. |
What is 18% as a Fraction in Simplest Form? |
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Answer» 18% can be represented as 9/50in fractional form. Fractions are numbers that have two parts- a numerator and a denominator. They have many applications and are very useful in calculations. |
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| 5047. |
Consider the following. x = sin 1/2 θ , y = cos 1/2 θ , -π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve |
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Answer» Consider the following. x = sin 1/2 θ , y = cos 1/2 θ , −π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve Solution: |
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| 5048. |
What is the Equation in Point-Slope Form of the Line Passing through (4, 0) and (2, 6)? |
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Answer» The Equation in Point-Slope Form of the Line Passing through (4, 0) and (2, 6) is3x + y = 12. To find the required equation of the line, we will usethe Point-Slope Form of a line. |
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| 5049. |
In the formula for yearly compounding, a = p(1 + r)n, n represents __________. |
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Answer» In the formula for yearly compounding, a = p(1 + r)n, n represents the number of compounding periods. Compounding is different fromsimple interest since compounding comes into effect on the previous interest along with the principal amount. |
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| 5050. |
How do you know if a number is divisible by 3 |
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Answer» Anumber is divisible by 3 ifthe sum of all its digits isdivisible by 3. You can easily tell if a number isdivisible by 3by performing the divisibility test of 3on the number. |
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