Algebra and Equation Review

Expanding Brackets

100

Expand 8(x + 7)

8x + 56

200

Expand 10(8 - y)

80 - 10y

300

Expand and simplify 6(k+5) +3k

6k + 30 + 3k

=9k + 30

400

Expand 3a(2a + b - 3)

6a² + 3ab - 9a

500

Expand & simplify (2a - 1)²

(2a - 1)(2a - 1)

=4a² - 2a - 2a + 1

=4a² - 4a + 1

One Step Equations

100

d - 5 = 150

What is 155?

200

-4 = r + 10

What is - 14?

300

-90y = 360

What is -4?

400

y/7.5 = 23

y=23 x 7.5

y=172.5

500

x²-2=38

x= + or - square root of 40

Two Step Equations

100

5c + 40 = 100

What is 12?

200

-3b - 5 = 1

What is b = -2?

300

x/4 + 3 = 7

What is x = 16?

400

500g + 800 = 3300

What is g = 5?

500

 Z+65

______ =1

  73

Z=8

Simplifying Expressions

100

Simplify 4 x a x b x a x 3

12a²b

200

Simplify 12a - 3b + 4a + 9b

16a + 6b

300

Simplify

6ab² - 8b²a + a²b +5a²b - 4

-2ab² + 6a²b - 4

400

Simplify 56ab/7b

8a

500

12xy²/-9x³y

-4y/3x²

Substitution

100

Evaluate 2x + y if x = 2, y = 6

2(2)+6

=4+6

=10

200

Evaluate 5x + y + 8 if x = 3 and y = 4

5(3)+4+8

=15+4+8

=27

300

Evaluate 3p² + t if p = 4 and t = 5

3(4)²+5

=3(16)+5

=48+5

=53

400

Evaluate 10 - (2xy + y) if x = 3 and y = 4

10-(2x3x4+7)

=10-(24+7)

=10-31

=-21

500

Evaluate 6(x-y)²+3 if x = 3 and y = - 4

6(3--4)²+3

=6(7)²+3

=6(49)+3

=294+3

=297