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Writing Expressions

100

Write an algebraic expression for "five more than a number (n)"

n+5 or 5+n

200

Write an expression for "twice the sum of (a) and (3)"

2(a + 3)

300

A recipe calls for 3 times as much flour as sugar. If x represents the amount of sugar, write an expression for the amount of flour.

3x

400

Write the expression for "the difference between twice a number and 9"

2x-9

500

Joey pays $150 a month for a gym pass, at the start if his membership he paid a one time fee of $75. Write an expression to represent the total amount of money joey has paid for X months.

150x+75 Or 75+150x

Vocabulary

100

What does the term "variable" mean?

A symbol/letter (like (x) or (y)) that represents a number

200

Define "coefficient".

A number used to multiply a variable (e.g., in ( 4x ), ( 4 ) is the coefficient)

300

What is the difference between an "expression" and an "equation"?

An expression does not have an equal sign and cannot be solved, while an equation does have an equal sign and can be solved.

400

Identify the Terms in this expression.

2(28x+89)-5y

500

Identify the coefficients, variables, constants, and terms in the expression: 72b+13

Coefficient: 72

Variable: b

Constant: 13

Terms: 2 ( 72b, 13)

Solving 1 Step Equations

100

Solve for X:

x + 6 = 15

X=9

200

Solve for M

M-51=42

M= 93

300

Solve for B:

11b=88

b=8

400

Solve for W:

W/3= 9

W=27

500

A number (n) decreased by 12 equals 18. Find the number.

n-12=18

n=30

Solving 2 Step Equations

100

Solve: 

2x + 3 = 11

X= 4

200

Solve:

5a-20=40

A= 12

300

Solve: 

w/2+13=23

W=20

400

The sum of three times a number (x) and 7 is 52. What is the number?

3x+7=52

X=15

500

Solve:

2(w-8)=32

W=24

Distributive Property

100

Distribute:

2(x + 3)

2x+6

200

Distribute:

4(9+2x)

36+8x

300

Distribute:

6n(3+5)

18n+30n= 48n

400

Distribute:

4(2x+4b+1)

8x+16b+4

500

Simplify:

24x+6

6(4x+1)

2(12x+3)

3(8x+2)