Quarantine Math

Polynomials

100

x²-7x⁵

Is this a polynomial or not? If it is, state the type and degree of the polynomial.

answer = Binomial

200

(2x-1)(-2x² +4x+5)

Answer =−4x3+10x2+6x−5

300

70x−40x⁴

Factor the expression completely

Answer =10x(7−4x3)

400

f(x) = -8x³ -x⁴ + 7x²

What is the leading coefficient of the polynomial f(x) defined below?

Leading Term = -x⁴

Leading coefficient = -1

500

f(x)=7-7x³+5x-x⁵-6x⁴

^{What is the y-intercept of the polynomial f(x) defined below? Write the y-value only.} 

Answer = 7

To find the Y-intercept, first put in standard form, and then replace all the x's with 0's.

Functions and Graphs

100

Given g(x)=5x-3, find g(-4)

answer = -23

200

Determine the value of y, if x is -5

y = (x - 4)²

Answer = y = 81

300

Determine the value of y, if x is 11. 

y = x² - 7

Answer = y = 114

400

F(x) = { -3x + 2 for x is not = -1

          { -6         for  x = -1 (-1 is here)

Answer = -6 or f(-1) = -6

500

f(x) = { (x+5)² +3 for x < -3

          { -1            for x = -3

          { -2x - 1     for x >-3 (-1 is here)

Answer = 1 or f(-1) = -2(-1) -2 = 1

Expression, Equations, & Inequalities

100

(x+2) - x/7 + x² = 57

answer = 7

200

Solve, −4x²(9x²−6x) 

Answer = -36x⁴+24x³

300

Determine the largest integer value of x in the solution of the following inequality

 3x+33x≤-11

example : Shade the values at 1 to the LEFT (open circle or closed circle)

Answer = Shade the values at -4.667 to the LEFT (closed circle)

400

Solve the following inequality for q

−9q+3(−8q−4)≤−8q+8+8

answer = q≥ -28/25

500

 x²(2x-4)

solve

Answer = 2x³-4x²

Statistics

100

If Jerry has 127 balls, 34 are green, 87 are red ,and 6 are blue. What are the chances of him picking a green ball.

Round your answer to the nearest tenth

Answer = 26.8% chance 

200

Determine whether the following is a statistical question.

Does Miranda have a college degree?

Answer = not statistical 

300

The mean of 10 numbers is 58. If one number is 40, what are the other 9?

A) 18

B) 60

C)162

Answer = b, 60

400

Is this a statistical question?

How much do the animals at Fancy Farm weigh?

Answer = Statistical question

500

Find the mean, median,mode,and range of the following numbers.

12, 14, 29, 62, 32, 58, 1, 18, -11, -3, 2, -96, 49 , 12

Answer = mean = 12.785

               mode = 12

               range = -34

               Median = 13

Forms of Linear Equations

100

What are the two forms of linear equations?

Answer = Slope intercept form and Point slope form

200

8x+6y=24

Change this into slope-intercept form

answer = y=-4/3x + 4

300

y = -1/3x - 2

state 4 points on this line

answers = 

(0,2)

(3,-3)

(6,-4)

(-3,-1)

(-6,0)

(-9,1)

(9,-5)

400

Write the equation of the line that passes through the points (-3,-2)(−3,−2) and (-4,-9)(−4,−9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer = y+2=7(x+3)

500

2x+5y= -12

4x+y= 30

Find the solution to the system of equations.

Answer = -4x-10y= 24 

                4x + y = 30