Expressions & Equations Part 1

Vocabulary

100

How many terms? 

2x³+8w+4

3

200

What is the constant(s)? 

12 + 2d - 8p + 13y

12

300

What is the coefficient? 

9 + y

1

400

What is a degree?

the power or exponent of a variable

500

True or False. 

You can have a coefficient without a variable?

False, a coefficient is the number IN FRONT of the variable. A number without a variable is a constant. 

Verbal Expressions

100

The sum of three times a number and five.

3x + 5

200

Ten more than the product of fourteen and a number. 

14n + 10

300

Negative nine squared decrease by 3 times a number. 

(-9)² - 3x

400

Twice the difference of a number and 5.

2(x - 5)

500

Seven less than a number cubed. 

x³ - 7 

Distributing

100

3(2x + 9) 

6x + 27

200

x(x - 4)

x² - 4x

300

9(2x-5) - (1y + 3)

18x - 45 -1y - 3

400

-6(8x - 7y)

-48x + 42y 

500

-8x(-2x - 4 + 5y)

16x² + 32x - 40xy

Evaluating

100

8 - m

for m = 5 

3

200

p - 5

for p = 119 

114

300

10q - 11

for q = 7

59

400

5y + 7 

for y = 20

107

500

5c - 10 + 3f 

for c = 7, f = 3 

34

Factoring

100

x² - 144x

x(x - 144)

200

5x³ - 25x

5x(x² - 5)

300

33x² - 36x - 27

3(11x² - 12x - 9)

400

4x³ + 5x²

x²(4x + 5)

500

-3x³ + 6x² + 3x

-3x(x² - 2x - 1)