Mr. B Int Alg Sem 1 Finals Review

Solving Equations

100

2x - 7 = 13

x = 10

200

1/3 x + 4 = 11

x = 21

300

2 (3x - 1) = 10

x = 2 

400

1/2 (8x - 6) + 2x = 18

x = 3 

500

3x - 14 + x = 2x + 10

x = 12

Solving Inequalities

100

3x < 9

x<3

200

-5x > 15

x< -3

300

3x - 7 > x +7 

x>7

400

-2 (x - 5) - 2x > 4

x  < 3/2

500

1/3 (-9x +3) > 2x + 16

x< -3

Expressions

100

Evaluate 2x + 8 when x = -2

4

200

Simplify 1/2x - 8 + 3/2x - 2 + y

2x +y - 10

300

Evaluate when x= 1, y = 4, and z = -3 

xyz + x 

-11

400

Simplify

2x - (x + 9) + 11 - 3x 

-2x + 2

500

Write an expressions with more than one variable and the distributive property 

various

Systems of Equations

100

x = -2 

2x - y = 6

(-2, -10)

200

2x - 3y = 11

-2x  + y = -17

(10,3)

300

y = 2x -3 

2y + 3x = 22

(4,5)

400

2x +5y = 15

x - 10y = -5

(5,1)

500

At a store you buy bananas and apples. Bananas are .50 cents, apples are 2 dollars.  In total you buy 10 pieces of fruit. You spend 14 dollars. How many of each fruit did you buy?

6 apples, 4 bananas

Equations of Lines

100

given y = -3x + 7  find the slope and y int

slope = -3 

y int = 7

200

Find slope and y int

4x + 2y = -16

M = -2

Y-int= -8

300

Write an equation in slope int for a line with a slope of -1/2 that passes through the point (-2, 6) 

y = -1/2x + 7

400

Write an equation for a line parallel to 

2x - y = 18

Any line with a slope of 2

500

Write an equation for a line perpendicular to y = -3x + 4, that passes through (6, -4) 

y = 1/3x - 6