Preservation of Equality
Is the following sentence true, false, or open?
12-x=3
Open
Write a mathematical expression for the word expression:
eight minus one quarter of a number
8-1/4x
Evaluate the expression:
5x+8 when x=9
53
Write an equation describing each word statement:
Twelve subtracted from a number is equal to 8
n-12=8
Write an equation for the word sentence:
one quarter of a number plus seven is equal to five
1/4x+7=5
What type of sentence is each of the following:
a) 33 divided by 11 is 3
b) x-22=8
c) 40+10=30
a) true
b) open
c) false
Write a word expression for the mathematical expression:
3x+4
Evaluate the expression:
v+8-2v when v=10
38
Write a word statement that describes each equation:
a+12=11
a number plus twelve is eleven
Write a word sentence for the sentence
1/5b=20
one fifth of b is twenty
What number should go into the placeholder to preserve the equality?
2b=14
b=7
Write a mathematical expression for each word expression:
9 increased by the product of 3 and y
9+3y
Evaluate the expression:
5n-2(n-3) when n=4
18
Solve:
n+1=-12
n=-13
Solve
5x=-20
x=-4
What number should go into the placeholder to preserve the equality?
44/4=x
x=11
Write a word expression for each mathematical expression:
1/2b+3
one half of b plus three
What is the value of three times a number n plus seven, minus four times the number n, if n=2?
5
Write the equation then solve
a number less 21 is equal to 27
n-21=27
n=48
Solve
1/3x+2=12
x=30
What does it mean to "preserve the equality"?
Doing the same operation on both sides of the equal sign in order to keep the value the same on both signs.
Name the numerical coefficient, variable, and constant of the following expression:
2/3a+8
NC: 2/3
V: a
C: 8
The product of w and 8 is subtracted from the product of w and 5. What is its value if w=2?
-6
Write the equation then solve
Cindy has 3 more albums than Kelly. If she has 21 albums, how many does Kelly have?
k+3=21
k=18
Kelly has 18 albums
Twice a number is five more than seven
2x=5+7
x=6