Basic Math Questions and Answers

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is perpendicular to line m? -4 undefined zero

Rachel spent $24.15 on vegetables. She bought 2 lbs of onions, 3 lbs of carrots, and 1 1/2 lbs of mushrooms. If the onions cost $3.69 per lb, and the carrots cost $ 4.29 per lb, what is the price per lb of mushrooms? a. $2.60 b. $2.25 c. $2.80 d. $3.10

Solve the inequality. -3x - 5 ≥ 7 A. x ≤ 4 B. x ≥ 4 C. x ≤ -4 D. x ≥ -4

A party room costs $50 plus $6 per person. To reserve a party room, you must spend at least $98. Which inequality could help you figure out how many people you should invite so that you spend at least $98? A. 56p < 98 B. B. 50+ 6p ≥ 98 C. 50+ 6p ≤ 98 D. 50-6p ≤ 98

A car rental company offers two plans for renting a car. Plan A: 35 dollars per day and 10 cents per mile Plan B: 65 dollars per day with free unlimited mileage How many miles would you need to drive in one day for plan B to save you money? Enter the exact answer as an inequality using the variable m to represent the number of miles.

The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

f(x) = √3x g(x) = √48x Find (f g)(x). Assume x ≥ 0. A. (f.g)(x) = 12√x B. (f g)(x) = √51x C. (f.g)(x) = 12x D. (f.g)(x) = 72x

John lives in Vermont and Julie lives in Florida. One January day, it was 52°F in Florida and -9°F in Vermont. What was the difference in temperatures?

Solve 3x + 3 = 21. A. x = 6 and x = -8 B. x= -6 and x = -8 C. x= 6 and x = -6 D. x=-6 and x = 8

Solve the triangle BQK where b=3.43, q = 6.51, and Q = 90°. Which of the following statements are true about BQK? There is at least one correct response. Choose all correct responses. Rounded to the nearest degree, the measure of angle K = 53° The perimeter of BQK is approximately 17.3 The perimeter of BQK is approximately 15.47 Rounded to the nearest degree, the measure of angle B = 32° None of these statements are true about AABQK

Which of the following is a validation of congruency between two polygons? if by applying only rotation you can make them coincide if by applying only translation you can make them coincide if by applying rigid motions you can make them coincide if by applying dilation you can make them equal

Define the sets A, B and C as: A = {-7, 4, 0, 3} B = {-7, 0, 4, 6} C = {-5, 4, 0, 2, 4, 6} List all values of a that satisfy each statement. - x is in A and x is in B: x is in A or x is in C: x is not in B and is in C:

A school board wants to implement a new lunch program, but wants to know how the students feel about it. Which sample is the best predictor of how the students feel? A. Select 7th graders at random. B. Select the first 10 students that show up to lunch. C. Ask the other members of the school board. D. Select random students from every grade.

a. When 50.19 and 50.67 are multiplied, the answer should have Enter the answer, using the correct number of significant figures: 50.19 x 50.67 = b. When 50.19 and 50.67 are summed, the answer should have Enter the answer, using the correct number of decimal places: 50.19 +50.67: =

Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average? 15 points 2 points 3 points 4 points

a. When 28.40 and 27.6 are divided, the answer should have ____ Enter the answer, using the correct number of significant figures: 28.40/27.6 = b. When 27.6 is subtracted from 28.40, the answer should have ___ Enter the answer, using the correct number of decimal places: 28.40 27.6 =

The number 1.464163 rounded to 4 significant figures is: The number 418.308 rounded to 3 significant figures is: The number 43.94754 rounded to 5 significant figures is:

f(x) = 3x + 8. Find the inverse of f(x). A. f ¹ (x) = 3x - 8 B. ƒ ¹ (x) = x - 3 / 8 c. f ¹ (x) = x - 3 / 3 D. f¹(x)= 8 - 3x

You want to solve the following system of equations by addition. What should you do first, so that one variable is eliminated when you add the equations? -2x+4y=10 3x-2y=-7 A. Multiply the top equation by -3. B. Multiply the top equation by 3 and the bottom equation by -2. C. Multiply the top equation by 2 and the bottom equation by 3. D. Multiply the bottom equation by 2.

Amy is thinking of a number that is 2 times the value of Jake's number. Amy's number is also 2 more than 3 times the value of Jake's number. What is Amy's number? Write and solve a system of equations to answer the question. A. -2 B. -4 C. 4 D. 2

Solve 4|x + 5| + 8 = 24. A. x = -1 and x = 9 B. x = -1 and x = -9 C. x = 1 and x = -9 D. = 1 and x = -1

Which of these is a factor in this expression? 7z^4 - 5+10 (y³+5) A. 10 (y³ + 5) B. −5+10 (y³ + 5) c. (y³ + 5) D. 7z^4 - 5

The expression below is the factorization of which of the following trinomials? (2x+7)(x+5) A. 2x²+2x+35 B. 2x² +10x+35 C. 2x² +12x+35 D. 2x² +17x+35

You know that this statement is true: If A is true then B is true. Which of the following statements might also be true? If B is false then A is false If A is false then B is true If A is false then B is false If A is true then B is false

Construct a polynomial of degree two that has the numbers-2, 4 as its zeros and has y intercept 12. The result is an expression in the form y-Ax² + Bx+C. Which one of the following statement(s) is(are) true? There may be more than one correct answer. (x-2) is a factor A=1.5 A=-1.5 When x=-3, y=-11.5

Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 8 + 9/x f'(x)= f(1) = f(2)= f(3) =

The negation of the statement "Sophie is wearing white shoes" is: Maria is wearing white shoes Sophie is wearing shoes Sophie is not wearing shoes Sophie is not wearing white shoes Sophie is wearing black shoes

The number 38.99011 rounded to 3 significant figures is: The number 347.0067 rounded to 5 significant figures is: The number 3533.620 rounded to 3 significant figures is:

Using the discriminant, how many real solutions does the following quadratic equation have? x^2+6x+10=0 A. Three real solutions B. Two real solutions C. One real solution D. No real solutions

Solve |x + 6| = 8. A. x = -2 and x = 14 B. x =2 and x = -14 C. x = 2 and x = -2 D. x = 2 and x = -14

a. When 15.039 and 11.523 are divided, the answer should have ________ Enter the answer, using the correct number of significant figures: 15.039/11.523 = b. When 11.523 is subtracted from 15.039, the answer should have _____ Enter the answer, using the correct number of decimal places: 15.039 11.523 =.

The number of hours worked, x, and the total dollars earned, y, have a strong positive relationship. Explain what it means to have a strong positive relationship in this situation.

Which of the following is the result of the equation below after completing the square and factoring? A. (x-5/2)² = 9/4 B. (x+5/2)² = 9/4 C. (x+5)² = 41/4 D. (x+5/2)² = 41/4

Which of the following numbers must be added to complete the square in the equation below? x^2+22x-50 A. 50 B. 121 C. 11 D. 22

An isometry is a transformation that preserves direction orientation distance

Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000. Which function calculates his monthly earnings (E) as a function of m, his monthly sales? E(m) = 2,000+ 0.15(m-20,000) E(m) = 2,000+ 0.15(m + 20,000) E(m) = 2,000+ 15(m -20,000) E(m) = 2,000 + 15(m + 20,000)

What would be the best first step in solving this system? y = x² + 3x - 4 2x+y = 17 A. Substitute for x in the first equation. B. Isolate x in the second equation. C. Substitute for y in the second equation. D. Isolate x2 in the first equation.

Which expression is the simplest form of - (3x³ + x²) + 2 (x³ − 4x²)? A.-x³-9x² B. 5x³ - 8x² C. - x³ - 3x² D. 5x³ - 7x²

Use the four-step process to find f'(x) and then find f′(1), f'(2), and f'(3). f(x) = 9 + 5/x

The graph of the reciprocal parent function, f(x) = 1/x, is shifted 4 units up nand 3 units to the left to create the graph of g(x). What function is g(x)? A. g(x) = 1/x+4 +3 B. g(x)= 1/x-4 +3 c. g(x)= 1/x-3 +4 D. g(x) = 1/x+3 + 4

A construction company is analyzing which of its older projects need renovation. Building B was built two years before building C. Building D was built two years before building B. The product of building B's age and building D's age is at least 195. If x represents the age of building C, which inequality represents this situation? A x^2 + 8x + 16 ≥ 195 B. x^2 +6x + 8 ≥ 195 C. x^2 + 4x + 4 ≥ 195 D. x^2 +42 ≥195

For - 12 ≤ x ≤ 15 the function f is defined by f(x) = x²(x + 6)² On which two intervals is the function increasing (enter intervals in ascending order)? Find the interval on which the function is positive: x = Where does the function achieve its minimum? x =

Solve 4 x + 6 = 32. A. x = 14 and x = -2 B. x= -14 and x = −2 C. x= -14 and x = 2 D. x = 14 and x = -14

Solve - 6 + 8 = 15. A. x= 13 and x = -1 B. x= 13 and x = -13 C. x= -13 and x = -1 D. x= -13 and x = 1

Solve 6x - 2y = 10 for y. A. y = 3x - 10 B. y = 3x - 5 C. y = -6x + 10 D. y = 6x + 5

The owner of a baseball stadium found that he sells an average of 586 tickets to each game when he charges an average of $59 per ticket. In addition, he found that with every $6 increase in ticket price, the average number of tickets sold decreases by an average of 4. Which of the following functions describes the baseball stadium's profit in terms of x, the number of $6 increases over $59? A. P(x) = $59-$3,752x - $24x² B. P(x) = $34,574 + $3,516x C. P(x) = $34,574 + $3,280x- $24x² D. P(x) = $59+ $3,280x

What is the result when this equation is solved for y? 4x² + 10x - 2y = 6 A. y = -2x² - 5x+3 B. y = 4x² + 10x - 6 C. y = 2x² + 5x - 3 D. y=-4x² - 10x+6

What is the solution to this equation? 5(x-4)= 3x+4 A. x = -8 B. x = 12 C. x = -2 D. x = 3

An equation for the line L is: y = 3 + 5/4 (x - 12) The angle L makes with the x-axis is:

Select the correct answer. Which of the following functions is the inverse of this function? f (x) = x + 2 / 7 A. p(x)=7x - 2 B. q(x) = -x + 2 / 7 C. r (x) = 7 / x+2 D. s(x)=2x + 7