Higher Advancement 2023

Solving Equations

100

9 + 4f -7z

If f=6 and z=5

-2

200

8(9d + 6) -4b

If d=8 and b=3

612

300

8(4a - 4) -1 = 14 - 8a

Solve for a 

1 7/40

400

4(-8x + 5) = 30x - 26

Solve for x

23/31

500

x/8 * x/9 = 1

Solve for x

+6squareroot of 2
-6squareroot of 2

Solving Inequalities

100

-2(x + 3) < 10

x > -8

200

4r + 3 > 2r + 11

r > 4

300

-2(x + 2) > 4 - x

x < -8

400

3 - 2(n - 4) > -1

n < 6

500

3(y + 5) < 2(y +1)

y < -13

Systems of Equations - Elimination

100

x + 2y = 6
x - y = 3

(4,1)

200

3x + 5y = 17
2x + y = 9

(4,1)

300

2x + 5y = 8
4x + 10y = 16

Infinite Solutions

400

2x + 2y = 18
x + 3y = 17

(5,4)

500

6x + y = 18
5x + 2y = 22

(2,6)

Systems of Equations - Substitution

100

y = -3x - 3
y = -3

(0,-3)

200

3x + 2y = -15
2x = -18

(-9,6)

300

y = 13/4x + 7
y = 3/4x - 9

(-6 2/5, -13 4/5)

400

4x + 8y = 20
-4x + 2y =-30

(7,-1)

500

-5x + 9y = -12
3x + 2y = 22

(6,2)

Systems of Equations - Graphing

100

X + Y = 3
Y = X + 5

(-1, 4)

200

Y = -2x + 2

Y = 1/3x - 5

(3 , -4)

300

y = 4x +10
y = 1/3x + 1

(-2 5/11 , 2/11)

400

-x + 3y = 6
4x + 3y = -9

(-3 ,1)

500

-2x + 3y = -9
x + y = 2

(3 ,-1)