ALGEBRA 1B REVIEW

SYSTEMS

100

FIND THE SYSTEM OF EQUATIONS Y = X - 1 Y = -X +5

3,2

200

FIND THE SYSTEM OF EQUATIONS Y = 2X + 6 X = Y - 3

-3, 0

300

FIND THE SYSTEM OF EQUATIONS X + 2Y = 2 -X + 3Y = 13

-4, 3

400

FIND THE SYSTEM OF EQUATIONS X + Y = -3 5X + 7Y = -9

-6,3

500

FIND THE SYSTEM OF EQUATIONS 8X - 3Y = 61 2X - 5Y = -23

11, 9

EXPONENTS

100

SIMPLIFY 5^3(5^4)

5^7

200

SIMPLIFY (-2X)^3

-8X^3

300

7^0

1

400

SIMPLIFY Y^-10

1/Y^10

500

2.4 X 10^-5/6 X 10^-8

4 X 10^2

POLYNOMIALS

100

(6X^2 + 7) + (X^2 - 9)

7X^2 - 2

200

(X^2 + 4X + 2)(X + 7)

X^3 + 11X^2 + 30X +14

300

FACTOR X^2 + 5X - 36

(X -4)(X +9)

400

SOLVE FOR X Z^2 -13Z +24 = -12

4 AND 9

500

FACTOR COMPLETELY 12Y^2 - 27

3(2Y - 3)(2Y + 3)

QUADRATICS

100

FIND THE AXIS OF SYMMETRY X = -B/2A Y = X^2 + 4X + 4

X = -2

200

FIND THE VERTEX AND AXIS OF SYMMETRY Y = 3X^2 + 12X + 8

X = -2 -2, -4

300

SOLVE FOR X 2X^2 - 20 = 78

-7 AND +7

400

SOLVE FOR X 2X^2 - 5X + 2 =0

.5 AND 2

500

SOLVE FOR X 2X^2 + 3X -20 = 0

-4 AND 2.5

RATIONALS/RADICALS

100

SIMPLIFY THE SQUARE ROOT OF 98

7 RADICAL 2

200

3(RADICAL 4X +1) -2 = 25

20

300

FIND THE DISTANCE BETWEEN THE TWO POINTS (2, 8) (7, -4)

13

400

SIMPLIFY (X^2 + 3X -10)/(2X -4) TIMES (5X)/ (X^2 +2X - 15) (2X -4)

(5X)/(2X -6)

500

3/U + 2 TIMES 4/2U + 1

10U + 11/(U +2)(2U +1)