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