Algebra II Chapter One Properties and Number Types

Algebra II Chapter One

Properties and Number Types Solving Equations Solving Inequalities Solving Absolute Value Equations and Inequalities Real Numbers and Evaluating 10 10 10 20 20 20 30 30 30 40 40 40 50 50 50

Question 1 - 10 • Find the next three numbers in the pattern… 3, 6, 10, 15, …. .

Answer 1 – 10 • 21, 28, 36

Question 1 - 20 •

Answer 1 – 20 • Inverse

Question 1 - 30 • What property is being used? • 2(3 + 4) = 2(3) + 2(4)

Answer 1 – 30 • Distributive Property

Question 1 - 40 • What property is being used? 7 x 8=8 x 7

Answer 1 – 40 • Commutative Property

Question 1 - 50 • Name the Additive Identity and Multiplicative Identity.

Answer 1 – 50 • 0 and 1

Question 2 - 10 • Solve 3(2 x – 5) – x = -7(x + 3)

Answer 2 – 10 • x = -1/2

Question 2 - 20 • Solve: 17 – 6 x = 25 – 3 x

Answer 2 – 20 •

Question 2 - 30 • Solve 3(x + 1) = 2(x + 11)

Answer 2 – 30 • X = 19

Question 2 - 40 • Solve 6(x+1) = 2(5 + 3 x)

Answer 2 – 40 • Never

Question 2 - 50 • Solve 3(y + 3)+ 5 y = 4(2 y + 1) + 5

Answer 2 – 50 • Always

Question 3 - 10 • Write the inequality that represents the sentence: Twice a number is at least 15

Answer 3 – 10 • 2 x > 15

Question 3 - 20 • Solve 3(x + 1) + 2 < 11

Answer 3 – 20 • x<2

Question 3 - 30 • Solve -2(w – 7) + 3 > w – 1

Answer 3 – 30 • w<6

Question 3 - 40 Solve 7 x + 2 < 2(2 x – 4) + 3 x

Answer 3 – 40 • Never

Question 3 - 50 • The length of a rectangular yard is 30 meters. The perimeter is at most 90 meters. Describe the width of the yard.

Answer 3 – 50 • at most 15

Question 4 - 10 • Solve |2 x – 4| = 12

Answer 4 – 10 • x = -4, 8

Question 4 - 20 • Solve |2 x + 5| = 3 x + 4

Answer 4 – 20 • X=1

Question 4 - 30 • Solve |3 x + 5| = 5 x + 2

Answer 4 – 30 • x = 3/2

Question 4 - 40 • Solve -|4 – 8 x| = 12

Answer 4 – 40 • No Solution

Question 4 - 50 •

Answer 4 – 50 • -5 < x < 11

Question 5 - 10 • Evaluate 3(2 a + 5) + 2(3 – a ) when a = 4

Answer 5 – 10 • 37

Question 5 - 20 •

Answer 5 – 20 • -765

Question 5 - 30 • Combine like terms: x(3 – y ) +y(x + 6)

Answer 5 – 30 • 3 x + 6 y

Question 5 - 40 •

Answer 5 – 40 • >

Question 5 - 50 • Definition of Rational numbers

Answer 5 – 50 • Terminates or repeats • Can be put into a fraction