Algebra terms and writing expressions and equations

Order of Operations

1. Parentheses; (5+3) 2. Exponents; see picture 3. multiplication/division left to right; 4. addition/subtraction left to right

Write as an algebraic equation: John is 14 years old. How old will he be in 'b' years?

14+b

Write as an algebraic equation: 3/4 of a number is 12

3/4x=12

Find the value of 3ab - bc, if a= 4, b= 3, and c= 2

30

Write as an algebraic equation: Three times a number less 1 is 20

3x-1=20

Find the value of 4ab, if a= 5 and b= 2

40

Combine: 3a+2a-a

4a

Combine: 2b + 3c - b - b + c

4c

Write as an algebraic equation: Four times a number divided by 3 is 12

4x/3=12

Write as an algebraic equation: The product of 5 and 'n'

5n

Write as an algebraic equation: Five times a number plus 4 is 39

5x+4=39

Write as an algebraic equation: Three less than 5 times a number is 32

5x-3=32

Find the value of xy/z, if x= 3, y= 4, and z= 2

6

Combine: 3x + 2y + 5x - y

8x + y

Write as an algebraic equation and solve: Twice a number less 1/3 of the number equals 15. Find the number.

Equation: 2x - 1/3x = 15 Answer: 22.5 (I'm really not sure about this one. I missed it on the test and worked it out at home. The equation is right though.)

Write as an algebraic equation and solve: One number is three times another number and their sum is 32. Find the numbers.

Equation: 4x = 32 Answer: 8; 24

Write as an algebraic equation and solve: Divide 98 into three parts such that the second part is twice the first, and the third part is twice the second.

Equation: 7x = 98 Answer: 14; 28; 56

Write as an algebraic equation: 'a' decreased by 3

a-3

Solve: 6a + 2a - 1 = 15

a=2

variable expression

is a mathematical equation that consists of variables, numbers and operations.

quotient

is the answer of a division problem

product

is the answer of a multiplication problem

difference

is the answer of a subtraction problem

sum

is the answer of an addition problem

Solve: 2m + 5 = 25

m=10

variable equation

mathematical equation that solves a variable

Solve: 3n + 7 - 2 = 8

n=1

Solve: 1.5n=3.0

n=2

Factors

quantities in a algebraic expression that are combined only by multiplication or division; 9(55*11)

Terms

quantities in a algebraic expression that are separated by addition or subtraction; 2b + 3c - b - b + c

Solve: 2½x = 10

x=4

Solve: 3x = 15

x=5

Solve: x/2=3

x=6

Solve: x-3=6

x=9