Solving Linear Equations

Analyzing graphs/scenarios

Equations from various forms

Literal equations

Inequalities

Solving equations (x/y intercepts included)

100

Is this Linear?

x y

0 7

5 16

10 25

15 35

20 44

25 53

Not linear - from x = 10 --> 15 the y values do not follow the same pattern.

100

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y = -5/4x + 8

100

A = bh

Solve for h

h = A

100

2x - 8 > 16

x > 12

100

5x - 10 = 25

x = 7

200

Is this table linear?

x y

-4 13

-1 19

2 25

5 31

8 37

y = 2x + 17

200

Write the equation from the table:

x y

2 11

4 23

6 35

8 47

y = 2x + 9

200

W = 2d + n

Solve for d

d = w-n

200

4(x + 3) < -24

x < -9

200

3(4x - 2) = 34

3.333...

300

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How much gas can be bought for $58.75?

15 and 2/3

OR 15.666...

300

Create the equation from these two points:

(6,29) (10, 39)

y = 5/2x + 14

300

(1/3)bh = A

Solve for h

h = 3A

300

-2(3x + 8) >= 48

x<=10.666

300

y = 4x + 16

solve for x and y intercepts

x = -4

y = 16

400

Show increasing graph with negative y-int. What is the y value when x = 36?

420

400

What is the equation when

x-intercept = (11,0)

y - intercept = (0, -7)

y = 7/11x - 7

400

A = 2pi(r)²h + L

Solve for h

h = A-L

2pi(r)²

400

1/2 (-2x + 12) <= 18

x >= -6

400

Solve for x/y intercepts.

3x - 7y = 63

x = 21

y = -9

500

Mike buys $40 dollars of lemonade supplies. He sells the lemonade $2 per cup until he makes his money back. After he makes his money back he sells it for $1 a cup. Write the piecewise function for the two equations in this case with the appropriate "b" values

Jake would have to 20 cups so the 'changing' point would be 20.

y=2x 0<x<20

y=1x+20 20<x

500

Slope = 2/3

point = (5, 9)

y = 2/3x + 1.5

500

A²+B²=C²

Solve for B

B = sqrt(C²-A²)

500

8 < 2x < 17

Write the answer on a number line and use interval notation.

4 < x < 8.5

500

8(x + 4) - 2(x - 1) = 70 - 3x

x = 4