Fundamentals of Algebra

Vocabulary

100

Identify the coefficient:

3 - 4n = 12

4

200

What word describes the 5 in the following equation?

22v + 5 = 19

Constant

300

What word describes the 12 in the following equation?

6 + 12j = 36

Coefficient

400

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

500

Write an expression that has:

1) A constant being subtracted 

2) A coefficient of 44

3) A variable

4) Parentheses

Example:

(44y - 12) * 23

Evaluating Expressions I

100

If x = 20, evaluate: 

2x + 3

43

200

If n = 12.5, evaluate:

2(n + 0.5)

26

300

If y = 3, evaluate:

2 * 10 - 3y

11

400

If z = 8.6, evaluate:

1.1z - 3.04

6.42

500

Cousin Blort ate seventeen hot dogs for breakfast, and thereafter snacked on two hot dogs per minute. 

Write an expression for the number of hot dogs Cousin Blort ate m minutes after breakfast. 

2m + 17

Evaluating Expressions II

100

If p = 3, evaluate:

5p - 5

10

200

If k = 12, evaluate:

12k + 11

155

300

If c = 4, evaluate:

c³ + 6.5

70.5

400

If r = 99, evaluate:

.01r + 1 * 100

100.99

500

Uncle Smedley is balding. Though his head currently supports 3,241 healthy hairs, 99 of his follicles die every day. 

Write an expression for the number of live follicles Smedley has after d days. 

3,241 - 99d

Solving Equations I

100

4n = 36

n = 9

200

5n - 1 = 29

n = 6

300

x² = 121

x = 11

400

2(x+1) = 62

x = 30

500

Aunt Birbira beats me at arm wrestling 80% of the time. She has beaten me 68 times. 

Write AND solve an equation for the total number of arm wrestling matches we have had.  

.80x = 68

x = 85

Solving Equations II

100

x - 12 = 44

x = 56

200

7n + 2 = 51

n = 7

300

b² - 1 = 80

b = 9

400

d/5 + 10 = 50

d = 200

500

Plooff has been selling off her extensive Labubu collection at a rate of 3 per week. She started with 55 and now has 31. 

For how many weeks has Plooff been selling her collection? Write AND solve an equation.

55 - 3w = 31

w = 8