Algebra 1A J5

Powers

700

(10x³y²)/(2xy²)

5x²

775

(2xy³)(-6x²y)²

72x⁵y⁵

850

(5x²y^-2)/((2x²y)^-1)

10x³/y

Multiply/Simplify

700

7x(x²-5)-2(6x³-4x)

-5x³-27x

775

(2x+6)(x-4)

2x^2-2x-24

850

(x²-3x+2)(2x²+5x+3)

2x³-x²+x+6

Solving Equations

700

x-2(x+3)=9

x=-15

775

(x/3)+(x/4)=(7/4)

x=3

850

(x+4)/3 - (x/7) = (x+7)/5

x=-7

Modeling

700

The sum of three consecutive even digits is 42

n+(n+2)+(n+4) = 42

775

Khun has twice as many capybaras as Monica, and Chloe has 4 more than Khun. Altogether, they have 44 capybaras.

M+(2M)+(2M+4)=44

850

Leiori has 40 total dimes and quarters. The total value is $8.65

0.10d+0.25(40-d) = 8.65

OR

0.10(q-40) +0.25q = 8.65

900

A rectangle is three times as wide as it is long. If each side length is increased by 4, the area increases by 80.

(x+4)(3x+4) - x(3x) = 80

Factoring

700

x²-5x-36

(x+4)(x-9)

775

2x³ - 2x²-24x

2x(x-4)(x+3)

850

81x²-49y²

(9x-7y)(9x+7y)

900

2x²+5x-12

(2x-3)(x+4)