Algebra 2: Chapter 1 Review

Evaluating Expressions

100

Evaluate for x = 5:

5/3(x - 6) - (6 - 4x)

29

200

Evaluate for x = 5:

3(x² - 4) + 7(x - 2)

84

300

Evaluate for x = 5:

x - 2x + 3x - 4x + 5x

15

Simplifying Expressions

100

Simplify:

a² + a + a²

2a² + a

200

Simplify:

2x + 3y - 5x + 2y

-3x + 5y

300

Simplify:

5(a - 2b) - 3(a - 2b)

2a - 4b

Solving Equations

100

Solve:

4y - 6 = 2y + 8

y = 7

200

3(2z + 1) = 35

z = 16/3

300

Solve for x and state any restrictions:

ax - bx = 2a

x = 2a/(a-b), with a cannot = b

400

4 - x = |2 - 3x|

x = -1  or  x = 3/2

Solving Inequalities

100

Solve and graph the solution on a number line:

3x + 17 > 5

x > -4

200

Solve and graph the solution on a number line:

25 - 2x < 11

x > 7

300

Solve and graph the solution on a number line:

3/8x < -6  or  5x > 2

x < -16  or  x > 2/5

400

Solve and graph the solution on a number line:

2 < 10 - 4d < 6

1 < d < 2

Probability

100

You roll a number cube. Find the probability of rolling the number:

P(3)

P(3) = 1/6

200

You toss a coin 50 times and get heads 25 times. What is the experimental probability of getting heads?

P(heads) = 1/2

300

You select a number randomly from the sample space {-3, -2, -1, 0, 1, 2, 3, 4}. Find:

P(a negative number)

P(a negative number) = 3/8