Algebra II - Chapter 1

Absolute Value

100

Solve the following: 

|x| = -9

Impossible

200

Solve the following: 

|x| = 16

x = -16, 16 

300

Solve the following: 

|x+5| = 9

x = -14, 5

400

Solve the following:

|-6x| < 60

-10 < x < 10

Shade between -10 and 10 with open dots. 

500

Solve the following:

2 > |5 - 3x| > 4

1 < x < 7/3 

1/3 > x > 3

Inequalities

100

Solve the inequality. 

3x - 5 < 4

x < 3

Shade to the left starting at 3 with an open dot. 

200

Solve the inequality. 

-2x > 18

x < -9 

Shade to the left starting at -9 with an open dot

300

|3x - 5| < 13

-8/3 < x < 6 

Shade between -8/3 and 6 with two open dots. 

400

Solve the inequality. 

3 < 2x + 5 < 11

-1 < x < 3

Shade between -1 and 3 with open dots. 

500

Solve the inequality.

4 < x - 3 < 7

7 < x < 10 

Shade between the 7 and 10 with open dots. 

Real Numbers

100

0.33333

Rational

200

0.9765432...

Irrational

300

5

Rational, integer, counting, whole 

400

Square root of 12

Irrational

500

-97

Rational, integer

Polynomials

100

State whether the given expression is a polynomial. Label each polynomial according to the number of its terms and give the degree of each polynomial.

x²

Quadratic monomial, 2nd degree 

200

State whether the given expression is a polynomial. Label each polynomial according to the number of its terms and give the degree of each polynomial.

3x²y⁵

7th degree monomial 

300

State whether the given expression is a polynomial. Label each polynomial according to the number of its terms and give the degree of each polynomial.

9x⁵ + 3x² + 3

Quintic trinomial, 5th degree 

400

Solve. 

(3x - 8)(2x - 7) 

6x² - 37x + 56

500

Solve. 

(2x - 5)²

4x² - 20x + 25

Solve

100

x² = 16

x = -4, 4 

200

4x - 6 = 10 

x = 4

300

(x + 3)(3x - 2) = 0

x = -3, 2/3 

400

x(2x - 1)(x + 4) = 0

x = -4, 0, 1/2

500

7[2 - 3(x - 4) + 4(x - 6)] 

7x - 70