Equations

Mixed Bag
Factoring Polynomials.
word Problems
Wild Card
100

 2x+y=7 and x-y=-1. What is the solution?  

Answer= x=2,y=3

100

Given a line passes through the y intercept of -1, and goes through the points (1,2) and (3,8), what is the equation of the line?

 y = 3x-1

100

x^2 + 15x + 54

(x+6) (x+9)

100

If a population of a town increased from 1,200 to 1,320 people, what is the percentage increase?

 10%

100

What country is named after an ocean?

India

200

3(2x + 6 - 5x + 3) = -9x + 27

  • Simplify inside the parentheses: 3(-3x + 9) = -9x + 27

  • Distribute the 3: -9x + 27 = -9x + 27

  • This equation has infinitely many solutions because both sides are identical

200

x^2 + 15x + 54

(x+6) (x+9)

200

3y^3 - 18y^2 +27y

3y(y-3)^2

200

Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?

42 points

200

Which country has the capital of Bratislava? 

Slovakia

300

What equation can match (5,8) and (8,12)?

 y=4/3x+4/3

300

25^x2+60x+36

(5x+6)^2

300

25^x2+60x+36

(5x+6)^2

300
  1. If the average of four consecutive even numbers is 49, what are all four numbers?

46,48,50,52

300

What is the shape of Italy?

A boot

400

Equation: 3(2x + 1) + x = -39

  1. Distribute the 3: 6x + 3 + x = -39

  2. Combine like terms: 7x + 3 = -39

  3. Subtract 3 from both sides: 7x = -42

  4. Divide both sides by 7: x = -6 

400

This percentage represents a 20% increase on the number 50. What is the new number?  

60

400

3x^3 - 4x^2 -28x - 16 given that (x-4) is a factor.

(x+2)(3x+2)(x−4)

400
  1.  Given a line passes through the y intercept of -1, and goes through the points (1,2) and (3,8), what is the equation of the line?

y = 3x-1

400
How many official Disney princesses are there? 

13

500


  1. X^2xX^2  When X=4    

256

500

A sum of a number plus 18 minus 12  (x+18)

 12

500

x^2−8x+16

(x-4)^2

500

What is the area of a rectangle with length 8 cm and width 5 cm?

40 cm^2

500

 How many Naked mole rat pups are born in a single colon yearly?

12

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