Algebra Review Test 3

Solve

100

3 - 4/x = 5/x

Multiply everything by x to get rid of the x

3x-4=5

3x=9

x=3

200

3(0.06x-1)=3(0.04x + 0.7)

Distributive Property then multiply everything by 100 to get rid of decimals

18x-300=12x+210

x=85

300

8(x+0.6) = 3(x - 4.7)+0.9

Distributive Property then multiply everything by 10 to get rid of the decimals

80x + 48= 30x - 141 + 9

x= -180/50 = -18/5 = -3.6

400

1/5x - 3 = 1.8

Multiply everything by 5 to get rid of the fraction.

x - 15 = 9

x=24

500

3/4x + 2/3 = 1.2

Find the common denominator of 4 and 3 

Multiply everything by the common denominator (12) then multiply everything by 10 to get rid of the decimal

90x+80=144

x=64/90 = 0.71

Identify the Quadrant

100

(2,1)

Quadrant 1

200

(1, -2)

Quadrant IV

300

(-2, -1)

Quadrant III

400

(-1, 2)

Quadrant II

500

( 0 , 0 )

Origin

Scientific Notation

100

354,000

3.54 x 10⁵

200

98,000

9.8 x 10⁴

300

25,600,000

2.56 x 10⁷

400

7.9 x 10^-4

0.00079

500

1.1 x 10^-7

0.00000011

Solve Rational Exponents

100

9 ^1/2

square root of 9 = 3

200

8 ^1/3

Cube root of 8 = 2

300

24 ^1/3

2 cube root of 3

400

36 ^2/3

6 cube root of 6

500

54^2/3

9 cube root of 4

Solve 2 Variable Equations

100

y = x - 2    when x = 5    

y = 5 - 2

y = 3

200

y = 2x + 3   when x = 5

y = 2(5) + 3

y = 13

300

y = 3(x + 1)   when x = 5

y = 3(5+1)

y=3(6)

y=18

400

y = -x + 1    when x = 3

y = -3 + 1

y = -2

500

y = -x + 1   when x = (-1)

y = -(-1) + 1

y = 1 + 1

y=2