Algebra II Chapter 1 Review

Math Properties

100

5 = 5

Reflexive Property of Equality

200

3+2=2+3

Commutative property of addition

300

9x + 0 = 9x

Identity Property of Addition

400

If 8x = 4 then 8x + 4 = 4 + 4

Addition Property of Equality

500

7/4 x 4/7 = 1

Inverse Property of Multiplication

Absolute Values

100

True or False? You may distribute through an absolute value symbol

false

200

Evaluate if x = 2 and y = -3

|-3x - 2y| - 4

-4

300

Solve 3|x + 5| = 9

{-2, -8}

400

Solve 3|x| + 10 = 9

no solution

500

Solve 2|4 - n| = -3n

{-8}

Compound Inequalities

100

True or False |x| < 7 has a finite number of integer solutions. Explain.

True, {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

200

Solve the inequality |5 + k| < 8

{k|-13 < k < 3}

300

Solve the inequality 

x + 5 < 3 or -x < 4

all real numbers 

400

Solve the inequality (answer is set-builder notation)

 |2y-9| > 27

{y|y < -9 or y > 18}

500

Solve the inequality (answer in set-builder notation)

-12 < 7d - 5 < 9

{d|-1 < d < 2}

Inequalities

100

Solve 8x - 6 > 10

(x|x > 2}

200

Solve the inequality 23 - 4x < 11

{x|x > 3}

300

Write an inequality, then solve.  

Twenty less than a number is more than twice the same number

n - 20 > 2n; n < -20

400

Solve (answer in set-builder notation)

 3(6-5a) < 12a - 36.

{a|a > 2}

500

Solve (answer in set-builder notation)

5(3x-5) + x < 2(4x-1) + 1

{x|x < 3}

Expressions and Equations

100

Find the value of the expression 18 plus 6 divided by 3

20

200

Evaluate the expression if b = 0.5 and c = -3: 

6b - 5c

18

300

Solve the equation -2a/3 = 14

-21

400

Solve A = h/2(a + b) for a

a = 2A/h - b

500

Solve the equation

5m - (5 + 4m) = (3 + m) - 8

all real numbers