Answer:
In this problem, we will be replacing x with
5.2 and y with 3.9:
x + y =
5.2 + 3.9 =
9.1
Answer:
In this problem we will be replacing x with 3 and multiplying it times 450.
Answer:
Product will be substituted with multiplication and we will replace
the phrase 'a number' with the variable x.
Putting it all together we get:
The product of 12 and a number
12x
Answer:
Quotient is the same as divide, difference will be translated as subtraction
and we will replace the phrase 'a number' with the variable x.
Putting it all together we get:
The quotient of 25 and the difference of a number and 3.
Answer:
There are two parts to this:
{11, 12, 13, 14, 15, 16, 17, 18, 19}
Answer:
There are two parts to this:
{6, 7, 8, 9, ...}
Answer:
There are two parts to this:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Answer:
Note that -2.5 goes halfway between -2 and -3.
Also note that 3/2 = 1.5 and goes halfway between 1 and 2.
, 
(pi), 
}
Answer:
{}
Answer:
{0, }
Answer:
{-5, 0, }
Answer:
{-5, -2.5, 0,}
Answer:
{(pi), }
Answer:
{-5, -2.5, 0, , (pi),}
or 
to make
each statement true.Answer:
Since 0 is NOT one of our counting numbers, then it would be true to
say:
0 {x | x is a natural number}
Answer:
Since .25 can be written as 1/4 (one integer over another), it would
be true to say:
.25 {x | x is a rational number}
Answer:
Since EVERY element of N (natural numbers)
is also in R (Real numbers), then this statement
is TRUE.
Answer:
Since not EVERY element of Z (integers)
is in N (natural numbers), then this statement
is FALSE.
Answer:
Since 4.2 is 4.2 units away from 0 on the number line,
|4.2| = 4.2
Answer:
Since - 4.2 is 4.2 units away from 0 on the number line,
|- 4.2| = 4.2
Answer:
Putting together the facts that 20 is 20 units away from the origin
and there is a negative IN FRONT of the absolute value we get
-|20| = -20
Answer:
-35 + (-15) = -50
Note that we are adding two numbers with the same sign. The sum of the absolute values 35 and 15 is 50 and their common sign is negative. Therefore, our answer is -50.
Thinking in terms of money: You lost 35 dollars and then you lost another
15 dollars, so you lost a total of 50 dollars.
Answer:
-14 - (-5) = -14 + 5 = -9
Subtracting a negative 5 is the same as adding a positive 5. Once we change it to addition, we now are adding two numbers with opposite signs. The difference of the absolute values of 14 and 5 is 9 and the sign of the larger absolute value (-14) is negative. Therefore, our answer is -9.
Thinking in terms of money: You are in the hole 14 dollars, then you
gain 5 dollars, you are still in the hole 9 dollars.
Answer:
(-15)(-10) = 150
We are multiplying two numbers with the same sign. The product
of 15 and 10 is 150 and multiplying with same signs gives us a positive
answer. Therefore, our answer is 150.
Answer:
-60/15 = - 4
We are dividing two numbers with opposite signs. The quotient
of -60 and 15 is 4 and dividing with opposite signs gives us a negative.
Therefore, our answer is -4.
Answer:
Answer:
Answer:
The square root of 64 is 8, since 8 squared is 64.
Answer:
The CUBE root of -1/27 is -1/3 since -1/3, cubed is -1/27.
Answer:
Answer:
Answer:
Replacing a with 5 and b with -3 and evaluating the expression we get,
Answer:
The opposite of 10 is -10, since 10 + (-10) = 0.
The reciprocal of 10 is 1/10, since 10(1/10) = 1.
Answer:
The opposite of -1/2 is 1/2, since -1/2 + 1/2 = 0.
The reciprocal of -1/2 is -2, since (-1/2)(-2) = 1.
Answer:
Using the commutative property of addition (where changing the order
of a sum does not change the value of it) we get:
5 + b = b + 5
Answer:
Using the commutative property of multiplication (where changing the
order of a product does not change the value of it) we get:
7a = a7
Answer:
Using the associative property of multiplication (where changing the
grouping of a product does not change the value of it) we get:
(-10a)b = -10(ab)
Answer:
Using the associative property of addition (where changing the grouping
of a sum does not change the value of it) we get
x + (2y +
3z) = (x + 2y)
+ 3z
Answer:
Answer:
Answer:
Answer:
Sum translates into addition.
Is less than or equal to will need to be replaced by the symbol <.
The opposite of 9 is -9.
Let's put everything together going left to right:
The sum of x and 5 is less than or equal to the opposite of 9.
x + 5 < -9
Answer:
Twice translates as 2 times and difference is the same as subtraction.
Is not equal to will need to be replaced by the symbol 
.
The reciprocal of 1/5 is 5.
Let's put everything together going left to right:
Twice the difference of y and 6 is not
equal to the reciprocal of 1/5.
2(y - 6) 5
Answer:
If each hamburger costs 1.75, then in order to find the cost, we would
have to multiply the number of hamburgers (x)
by the cost per hamburger (1.75).
Hence, we would get the algebraic expression 1.75x.
Answer:
Since 3/2 simplifies to 1.5, then 1.5 equals 3/2:
1.5 = 3/2
Answer:
Since -3 is to the left of -1 on the number line, then -3 is less than
-1:
-3 < -1
Answer:
Since 0 is to the right of -5 on the number line, then 0 is greater
than - 5:
0 > -5
Last revised on June 17, 2011 by Kim Seward.
All contents copyright (C) 2002 - 2011, WTAMU and Kim Seward.
All rights reserved.