Algebra 1 Final Review!

Snazzy Systems

100

Name the 3 methods that we learned to solve systems of equations.

Graphing, Substitution, and Elimination

200

How many solutions does a system of parallel lines have?

Zero/No solutions

300

Solve the following system, using a method of choice: 2x + y = 12,  3x - 2y = 11

(5,2)

400

Graph the following system of inequalities:                             y > -3x + 5, y < x - 2

(See Answer Sheet for Systems 400)

500

Madeleine says that (4,3) is the solution to the system below. Emily says that Madeleine is wrong and that (3,4) is the correct solution. State who is right. If neither of them are correct, determine the correct solution. x + 2y = 10, 2x + 3y = 16

Neither of them are correct. The correct solution is (2,4).

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

The product of (3x+5)(4x-2)

12x² + 14x - 10

200

Simplify the following problem: (3x² + 2x - 5) + (x³ + x² - 2x - 7).

x³ + 4x² - 12

300

Simplify the following problem: (3x² + 2x - 5) - (x³ + x² -2x - 7).

-x³ + 2x² + 4x + 2

400

Simplify the following problem: (x + 3)(x - 3)(x + 4).

x³ +4x² - 9x - 36

500

Simplify the following expression:                                     (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)