|~| Solving Linear Equations |~|

Solve for y

100

If, x=12

Then, x+y=100

88

200

If, x=42

Then, 2x+y=203

119

300

If, x=27

Then, x+y=92

65

400

If, x=61

Then, x-2y=-6

67/2

33.5

33 1/2

500

If, x=203

Then, x-2y=169

17

Solve for x

100

If, y=9

Then, y+x=16

7

200

If, y=17

Then, y+x=32

15

300

If, y=42

Then, 42-2y=-2

22

400

If, y=109

Then, y-2y=x

-109

500

If, y=43

Then, 96-2y=x

10

Solve

100

2x+2y=26

y=9-12

x=16

200

2x+8=24

x=8

300

5x+3x+1=9x-x-5

No solution

1>-5

400

y=(-4²)⁸

y+42⁰=

-15

500

A football team scores 7 times and earns 27 points. All their points come from 6-point touchdowns and 3-point field goals.

Let t be the number of touchdowns and f be the number of field goals. The equation t+f=7 represents the number of times the team scores. The equation 6t+3f=27 represents the total number of points scored.

How many touchdowns and how many field goals does the team make?

t=2

f=5

How many Solutions?

100

3x + 5 = 3x - 5

None

Zero

200

44+8x=8(x+5)

No solution

44>40

300

Hazel has an assortment of red, blue, and green balls. 

1. The number of red balls is 2/3 the number of blue balls. 

2. The number of green balls is 1 more than 1/3 the number of blue balls. 

3. In total, she has 15 balls. 

An equation created to find the number of blue balls will have...

One solution

400

4(x+5)6=2(2x+3)

None

26>6

500

8-2(4x+6) = -4-8x

Infinitely many

0=0

Bonus

100

y+14=12

-2

200

900(6/3)²

FOR DOUBLE POINTS:

Once you find the answer, x, subtract 92 and then divide by 6:

(x-92)/6

3600

Double points:

584.666666667

300

True or false:

This equation has no solutions.

6x + 2y - 8 = 12x +4y - 16

If false, how many does it have?

False.

It has infinitely many solutions

400

y=(-19)²

x+2y=300

x= -422

500

If correct, add 500

If incorrect, subtract half of your current points

y=2¹⁰

90+2y=

2138