algebraic expressions

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)

How many kobo are there in y naira? One naira is divided into 100 kobo. So we have 100y kobo

Raise the sum of w and v to the 7 The sum of w and v: w + v Raise the sum to the 7: (w + v)^7

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

The larger number b exceeds the smaller number c by 45. Exceeds means greater than or more than, so we have: b = c + 45

John had x mangos and p oranges. How many fruits did he have Fruits = mangos + oranges Fruits = x + p

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)

2 times the sum of 3x and 5 the sum of 3x and 5 3x + 5 2 times the sum: 2(3x + 5)

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

2 times itself Itself means we multiply 2 by 2: 2 * 2 4

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

You fly x miles and then drive y miles. How many miles did you travel? Total miles traveled = fly miles + drive miles Total miles traveled = x + y

twenty-nine to the w We take 29 and raise it to the w power: 29^w

-x squared We take -x and raise it to the 2nd power: (-x)^2 = -x * -x = x^2

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...

6 times y divided by x squared 6 times y: 6y x squared means we raise x to the power of 2: x^2 The phrase divided by means we divide 6y by x^2: 6y/x^2

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...