Grade 7 Algebra Review

Vocabulary

100

Coefficient

A number used to multiply a variable. 

For example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient

200

Constant

A number on its own. For example: 7 + 7 = 14 are all constants.

300

Variable

A symbol for a number we don't know yet. It is usually a letter like x or y, but can be a symbol or word.

400

Operator

Is a symbol, like +, ×, etc, that shows an operation. It tells us what to do with the value(s).

500

Monomial

An expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient.

1-Step

100

x + 8 = 15

x = 7

200

5 + n = 10.5

n = 5.5

300

12n = 144

n = 12

400

103 + z = 15

z = -88

500

55 + h = 180

h = 125

2-Step

100

25x - 18 = 13.5

x = 1.26

200

41.7x - 41 = 110

x = 3.621103 or 3.62

300

x/12 + 13 = 15

x = 24

400

65 + d/15 = 14.5

d = 22.5

500

k/30 + 12 = 25.5

k = 405

Inequalities

100

x - 5 > 6

x > 11

200

25x + 12 < 60

x < 1.92

300

x/15 + 15 is greater than or equal to 80

x is greater than or equal to 975

400

-10x - 5 > 40

x < -4.5

500

54 - 6x < 95

x > -6.833

Simplifying

100

5x² + 8x² - 75 + 12x + 2x

13x²- 75 + 14x

200

18n + 12n + 14n + 8z - 2z

44n + 6z

300

35n + 8xy - 3xy + 7.5n

42.5n + 5xy

400

10c + 3c² - 8c - 2z + 2c²

5c² - 2z + 2c

500

189.5x + 55z - 12x² - 32z + 7x²

-5x² + 189.5x + 23z