Algebra I Chapter 1

Variables and Expressions

100

Write an algebraic expression for this verbal statement:  The sum of twelve times a number and five 

12n + 5

200

Write a verbal statement for the following algebraic expression:  -3x - 4

Possible answer:  The difference of negative three times a number and four.

300

Write this verbal statements as an algebraic expression: Eight subtracted from a number squared

n² - 8

400

Simplify: 4x + (-9x)

-5x

500

Simplify: -7x - (-11x)

4x

Adding & Subtracting Real Numbers

100

Add: 4.58 + 92.3.  No calculator.

96.88

200

Simplify -9 + 8 - 15.  No calculator.

-16

300

Subtract: 8.15 - 12.4.  No calculator.

-4.25

400

Add: 6 1/4 + 2 2/3.  No calculator.

8 11/12

500

Subtract:  -7 1/2 - 5 3/4.  No calculator.

(negative 7 1/2 minus 5 3/4)

-13 1/4

Multiplying and Dividing Real Numbers

100

Multiply 3.2 x 7.8.  No calculator.

24.96

200

Find: (-4/5) x (2 5/6).  No calculator. Reduce your final answer.

-2 4/15

300

Divide: (-315)/(-45).  No calculator.

7

400

Divide: (1/2) / (-7/8).  No calculator.

-4/7

500

Divide: 6.615 / 6.3

No calculator

1.05

Powers and Exponents

100

Write the following verbal statement as an algebraic expression:  a number cubed divided by five

n³ / 5

200

What is (-3)⁴? No calculator.

81

300

What is -3⁴?  No calculator.  

-81.

400

What is 4³ + 3⁴? No calculator.

145

500

Simplify: (-7)²  x (-1)⁵.  No calculator.

-49

Order of Operations

100

Simplify:  4 - 7 x 8.  No calculator.

-52

200

Simplify:  (-9 + 8) x 4 + 3.  No calculator

-1

300

Simplify:  (7 - 9)² - 3 x 5.  No calculator.

-11

400

Simplify: 12.3 + 8 x 0.5

16.3

500

Simplify: (-3/8) - (1/4)² 

-7/16