Review lesson 11&12

solve for equations

100

3x=4x5+10

x=?

10

200

2/5=x/10

x=4

300

x-3/2=2x+1/3

x=-11

400

3x+y=-7

y=x+5

X=-3   y=2

500

2x+3y=28

-x-4y=-29

x=5   y=6

Expand

100

3(2x²-3)

6x²-9

200

a(a³-a²+2a)

a⁴-a³⁺2a²

300

5y(-4y-7)

-20y²-35y

400

2x(3x-3)

6x²-6x

500

2x(2x²+3x-2)

4x³+6x²-4x

Simplify

100

(4x+5y)-(-5x+3y)

(9x+2y)

200

(x²)³

x⁶

300

x³y/xy

x²

400

(-3x²)⁴

81x⁸

500

(a² x a³)⁴

a²⁰

expand and simplify

100

2x(3X²-2)+(x-3)

6x³-3x-3

200

2x(x-5)+3(x²+2x)

5x²-4x

300

5x(3x+2)-2y(y²-4)

15x²+10x-2y³+8y

400

3x(2x+3)-2x(x²-3)

-2x³+6x²+15x

500

2x²(-2x+3y)+y²(x²+3)

-4x³+6X²y+y²x²+3y²

word question

100

Ali buys two pencils. Each pencil costs the same. If he pays $6 in total, how much does one pencil cost?

Each pencil costs $3.

200

Sarah is 3 years older than her brother. Together, they are 21 years old. How old is Sarah?

Brother = 9 years, Sarah = 12 years

300

A rectangle has a length of (4x) and a width of (x). If the perimeter is 30 cm, what is the value of x?

Width = 3 cm, Length = 12 cm

400

John earns $4 per hour cutting grass. His sister earns $10 for helping their neighbour, but she only works once. After how many hours of cutting grass will John earn the same amount as his sister?

After 2.5 hours

500

A rectangle has a width of (3a+3) and a length of (7a-1). If the perimeter of the rectangle is 84 cm, what are the actually dimensions of the rectangle?

27cm x 15cm