Algebra 1A 2024-2025 Chapter 2 Review

2.1 Using Integers and Real Numbers

100

If x = -17, find -x and lxl

-x = 17

lxl = 17

200

Evaluate the expression when x = 0.8

1 + l-xl

1.8

300

The change in value of a share of a stock was -$.45 on Monday, -$1.32 on Tuesday, $.27 on Wednesday, and $1.03 on Thursday. On which day was the absolute value of the change the greatest?

Tuesday

400

Give the most specific classification of each number:

-4, 5, -1/2, 25.6

-4: integer

5: whole number

-1/2: rational number

25.6: rational number

500

Define a rational number

A real number that CAN be written as a fraction where the numerator and denominator are integers and the bottom integer does NOT equal zero.

2.2 and 2.3 Add and Subtract Real Numbers

100

-9 + (-4)

-13

200

3.8 - 11.4

-7.6

300

-35.9 - (-50)

14.1

400

Evaluate the expression:

y - x + 6 when x = -2 and y = 7.2

15.2

500

Mahukona is a Hawaiian volcano whose summit has an
elevation of -3600 feet. The summit once had an elevation of 800 feet. What was the change in elevation of the volcano’s summit?

-4,400 feet

2.4 and 2.6 Multiply and Divide Real Numbers

100

-12(-8)

96

200

66 ÷ (-1/3)

-198

300

(-5/6)(-12)(-4)

-40

400

(-10x - 50) / -5

2x + 10

500

Find the mean of the numbers:

-1, -4, -5, 10

0

2.5 Distributive Property

100

6(x - 4)

6x - 24

200

-3(-x + 6) - 1

3x - 19

300

x(2x-3)

2x² - 3x

500

Find the area of the rectangle. It will NOT just be a regular number answer.

Length: 2x

Width: x - 7

2x² - 14x

2.7 Square Roots and Comparing Real Numbers

100

√49

7

200

Find the postive and negative square roots of 121

11, -11

300

Approximate √3 to the nearest integer

2

400

The area of a square painting is 3600 square inches. Find the side length of the painting.

60 inches

500

Tell whether the following numbers are rational or irrational:

-√60,    √100,    √10

irrational, rational, irrational