Expressions
Combining Like Terms
Equations
Equations 2
Vocabulary
100
Write the following phrase as a number sentence: "Half the sum of a number and eight decreased by 1"
(1/2)(x + 8) - 1
100
7(x-12) + 9x + 84
16x
100
2 l 2x - 5 l = 22
x = 8 x = -3
100

2m + 19 = m (23 • 2)

m = 27

100

Is this an expression or equation?

2y+6x+12+4y-18y

Expression

200
Write a word phrase for the following numeric expression: (1/3)g + 7
A third of the number g increased by 7 OR The product of one-third of a number plus 7
200
9(c + 4v) - 7(2c + 6v)
-5c - 6v
200
Solve in terms of b: A = (3/4)bh
4A/3H
200

Solve for h: 0.07h + 0.9 = 1.21

h = 16


200

Another word for a number being multiplied by a variable in expressions and equations.

Coefficient

300
Write the following word phrase as a numerical expression: "Seventeen less than twice the difference of 4 and a number p"
2(4 - p) - 17
300
z(x + y) + 2zx - 4zy
3zx - 3zy
300
Solve for h: (3r + 5)/2 - 2 = 13
r = 8.33333...
300
1.2/0.6 = 3.6/n
n = 1.8
300

The letters in an expression or equation.

Variable

400
What is the difference between an expression and equation? What is the difference between a numerical expression/equation and an algebraic expression/equation?
Expressions do not contain equal signs while equations do. Numerical expressions/equations contain only numbers while algebraic expressions/equations contain at least one variable.
400
10 - 6[(1/2)x - 2] + 2(0.5x - 5) + 2
14 - 2x
400
Solve for n: (n+7)/2 + 2 = -11
n = -33
400

DAILY DOUBLE!!!

Solve in terms of c: 14a = dc - 3a

c = 17a/d

400

What makes algebra different from other branches of math?

Algebra contains variables

500
Stacy pays a standard fee of $21.99 a year for her gym membership in addition to the $12.45 she pays per month, m, to the gym. Make an equation to represent her total cost, c, at the end of the year.
c = 21.99 + 12.45m
500
18mn - 15xy - 16x + 7m
18mn - 15xy - 16x + 7m (cannot combine)
500
When 12 is added to half the sum of a number and 8, the result is 40. What is the number? Make an equation
(n + 8)/2 + 12 = 40 n = 48
500

(3x + 1)/2 = -6(x + 4)/4

x = -2 and 1/6 or -13/6

500

Define Expression

A mathematical phrase represented by numbers and/or variables separated by operation symbols.

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