Algebra 1 Final Review!

Excellent Exponentials

100

Simplify (2y)³  *  (3y²)⁵

1,944y¹³

200

Simplify (3a^-2)³ / (bc^-3)³

27c⁹/a⁶b³

300

Solve the equation: 5 = 5^6x-4

x = 5/6

400

Complete a table of values using the domain {-2, -1, 0, 1, 2} for the following exponential equation. Then graph the equation.

y = 2(1/2)^x

Graph should show an exponential decay function passing through the points {(-2, 8), (-1, 4), (0, 2), (1, 1), (2, 1/2)}.

500

You deposit $1,000 into a savings account that earns 2% interest compounded monthly. Find the balance after 10 years. (Hint: A = P(1+r/n)^nt)

$7,268.25

Quirky Quadratics

100

Solve 14d² + 49d = 0. Round to the nearest tenth, if necessary.

d = 0, -3.5

200

Solve 16x² - 9 = 0. Express your answer(s) as a fraction(s).

x = -3/4, 3/4

300

Solve 2x + x² = 35. Round to the nearest tenth, if necessary.

x = -7, 5

400

Solve 16x² - 4x - 6 = 0. Express your answer(s) as a fraction(s).

x = -1/2, 3/4

500

Solve 3k² + 2 = -8k. Round to the nearest tenth, if necessary.

k = -2.4, -0.3

Funky Factoring

100

This is the factored form of the polynomial 14x⁵ + 8x⁴ - 18x³.

2x³(7x² + 4xy - 9z)

200

This is the factored form of the polynomial 3x² + xy - 12x - 4y.

(3x + y)(x - 4)

300

This is the factored form of the polynomial      2x² - 14x + 20.

2(x - 2)(x - 5)

400

This is the factored form of the polynomial      6z² + 11z + 4.

(3z + 4)(2z + 1)

500

This is the factored form of the polynomial 18x² - 98y².

2(3x + 7y)(3x - 7y)

Peculiar Polynomials

100

(3x+5)(4x-2)

12x² + 14x - 10

200

(3x² + 2x - 5) + (x³ + x² - 2x - 7).

x³ + 4x² - 12

300

(3x² + 2x - 5) - (x³ + x² -2x - 7).

-x³ + 2x² + 4x + 2

400

(x + 3)(x - 3)(x + 4).

x³ +4x² - 9x - 36

500

(5y³)(-10y² + y + 2) - 2y⁴ + 7

-50y⁵ + 3y⁴ + 10y³ + 7

Radical Radicals

100

Simplify the square root of three fifths.

Square root of 15 divided by 5

200

Simplify the following: (see sheet for Radicals 200)

(See answer sheet for Radicals 200)

300

Simplify the following: (see sheet for Radicals 300)

(See answer sheet for Radicals 300)

400

Solve the following equation: (see sheet for Radicals 400)

(See answer sheet for Radicals 400)

500

Solve the following equation: (see sheet for Radicals 500)

(See answer sheet for Radicals 500)