9 times x is twice the sum of x and 5
9 times x:
9x
the sum of x and 5
x + 5
twice the sum of x and 5
2(x + 5)
The phrase is means equal to, so we set 9x equal to 2(x + 5)
9x = 2(x + 5)
jane has 55$ to spend at cedar point. the admission price is 42$ and each soda is 4.25. write an inequality to show how many sodas he can buy.
Let s be the number of sodas.
Cost for the day is:
Price per soda * s + Admission Price
4.25s + 42
We're told that Jane has 55, which means Jane...
square root of the sum of 2 variables
The phrase 2 variables means we choose 2 arbitrary variables, let's call them x and y:
x, y
The sum of 2 variables means we add:
x + y
Square root of the sum of 2 variables is written as:
sqrt(x + y)
3 times the sum of 2 decreased by x is 9
2 decreased by x:
2 - x
3 times the sum means we multiply 2 - x by 3:
3(2 - x)
The phrase is 9 means equal to, so we set 3(2 - x) equal to 9:
3(2 - x) = 9
a number increased by 8 and then tripled
The phrase a number means an arbitrary variable, let's call it x:
x
Increased by 8 means we add 8 to x:
x + 8
Then tripled means we multiply the expression x + 8 by 3:
3(x + 8)
opposite of twice the quotient of a and a
the quotient of a and a:
a/a
1
Twice the quotient of a and a
2(1)
2
Opposite means multiply 2 by -1:
-1 * 2
-2
After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is _____.
Doubled means we multiply by 2, so we have a new salary in 10 years of:
2x
1 multiplied by b squared multiplied by c squared
b squared means we raise b to the power of 2:
b^2
c squared means we raise c to the power of 2:
c^2
b squared multiplied by c squared
b^2c^2
1 multiplied by b squared multiplied by c squared means we multiply 1 by b^2c^2
1b^2c^2
Multiplying...
a number added to the product of y and x
Since we're already using the variables x and y, we choose another arbitrary variable for the phrase a number.
a
The product of y and x isL
xy
Then add a:
a + xy
You went to the State Fair and spent $20. If cotton candy costs $2 and a soda pop costs $1. Which equation represents the relation between the number of cotton candy (c) and soda pops (s) you can buy?
Our total cost for 20 at the state fair is:
Cost of Cotton Candy + Cost of Soda = 20
We know...