Numerical Expressions
Write a numerical expression for each verbal expression:
two plus twelve divided by four
(2+12)/4
Write a verbal expression for the algebraic expression:
r^4 * t^3
r to the fourth power times t to the 3rd power
Simplify (use PEMDAS):
-1/7(14x-7)
-2x+1
Evaluate each expression if t=-2
|12 + 2t|
8
Name the property represented in the algebraic statement:
-8*1=-8
Identity
Write a numerical expression for each verbal expression:
The sum of four and nine times three
(4 + 9)3
Write a verbal expression for the algebraic expression:
twice the difference of a number and seven
2(x-7)
Use the distributive property to rewrite each expression and evaluate:
6(6-1)
6(5) = 30
Evaluate the expression if q=-6 and p=2
|16+4(3q+p)|
48
Name the property represented in the algebraic statement:
9+2=9+2
Reflexive
Evaluate each expression:
35-3*8
11
Write a verbal expression for the algebraic expression:
8 less than a number
x-8
Show how you would solve 3(198) mentally.
3(200-2)
600-6 = 594
Evaluate the expression if a=-1/2, b=3/4, and c=-2/3
|2-(a-6b)|+18c
-5
Name the property represented in the algebraic statement:
(x+8)+3=3+(x+8)
Commutative
Evaluate each expression:
3(4-8+4^2(2+5))
324
Evaluate each expression if g=2, r=3, and t=11
t^2+8rt+r^2
394
Simplify using the distributive property:
-2(4m - 5n + 8p)
-8m + 10n -16p
A certain company designs and ships boxes of golf balls. Each box must weigh 300 grams. Write two absolute value expressions that represent the number of grams a box weighing g grams is away from the desired weight.
|300-g| and |g-300|
Which property does this definition belong to?
If one quantity equals a 2nd quantity and the 2nd quantity equals a 3rd quantity, then the 1st quantity equals the 3rd quantity.
Transitive
To find the average of a student's test scores, add the scores and divide by the number of tests. Suppose Ryan scored 85, 92, 88, and 98 on four tests. Write a numerical expression to describe Ryan's average test score.
(85+92+88+98)/4
Guadalupe Peak in Texas has an altitude that is 671 feet, more than double the altitude of Mount Sunflower in Kansas.
Write an expression for the altitude of Guadalupe Peak if Mount Sunflower has an altitude of n feet.
2n+671
Aran's drama class is planning a field trip to see Mozart's famous opera Don Giovanni. Tickets cost $39 each, and there are 23 students and 2 teachers going on the field trip.
a) Write an expression to find the group's total ticket cost.
b) What is the group's total ticket cost?
a) 39(23+2)
b) $975
What is the definition of absolute value?
The distance from a number to 0.
What is one of the multiplication examples you were given for the Inverse Property?
a/b*b/a=1
b/a*a/b=1