Solving Expressions
Evaluate 6 + a When a= 3
6+ a
6 +3
9
13 subtracted from a number x
x -13
Simplify by combining the like terms:
5g + 2y - g + 4y
What is 4g + 6y
An ice machine can produce 17 pounds of ice in one hour. Write an algebraic expression to describe the number of pounds of ice produced in n hours.
17n
Identify the terms in this expression: 4r + 2x + 3
4r, 2x, 3 or 4r, +2x, +3
Evaluate ab when a=3 and b = 5
ab
(3)(5)
15
5 times a number d
5d
Simplify by combining the like terms:
8g + c - 6
What c + 8g - 6?
Sally earns $65,000 a year as an optometrist. She received a bonus of b dollars last year and expects to get double that amount as a bonus this year. Write an algebraic expression to show the total amount Sally expects to earn this year.
65,000 + 2b
Identify the variable: 7y – 13
y
Evaluate c/d when c = 45 and d =5
c/d; 45/5; 9
a number t cubed
t³
Simplify by combining the like terms:
4z + 3p + 4z + 5
What is 3p + 8z + 5
Cindy beads jewelry for her mom. For each hour she beads, Cindy is given 18 dollars plus 3 dollars for using special thread for beading. Write the expression for how much Cindy makes in h hours.
18h + 3
Identify the coefficient: 8m + 60
8
Evaluate 4n - 3m when n=8 and m=5
4n - 3m
4(8) - 3(5)
32 - 15
17
Write the expression and evaluate. Six more than the product of a 8 and a number x, when x = 5
What is 8x + 6;
8(5) + 6;
40 + 6= 46
Simplify by combining the like terms:
3x + 5x + 2
What is 8x + 2
The admission fee to Clown Town is $9.50 per adult and $7.00 per child. A group consists of x adults and y children. Write an algebraic expression to represent the total admission fee for the group. Then find the cost of 5 adults and 10 children.
9.5x + 7y
9.5(5) + 7(10)
47.50 + 70
$117.50
Identify the constant: 9x - 22
-22
If g =8 evaluate 4g + 8.9
4g + 8.9
4(8) +8.9
32 + 8.9
40.9
Write the expression and evaluate. Fifteen more than the quotient of 24 and a number x when x= 8
24/x + 15;
24/8 + 15;
3 +15 =18
Simplify by combining the like terms:
9d + 7c - 4d - 2c
5c + 5d
Mike wants to buy an Xbox. He will clean cars at his house for 10 dollars per car plus 5 dollars for each car for vacuuming the inside of a car. Write an expression to show how much Mike can earn if he washes c cars. Then solve the expression if Mike washes 13 cars. Then solve the expressions if Mike washes 20 cars.
10c + 5c or 15c
He will earn $195 if he washes 13 cars.
He will earn $300 if he washes 20 cars.
Identify the parts for the expression:
5a + b + 1/2c
terms, variable, coefficient, constant
Terms: 5a, b, 1/2 c
variable: a, b, c
coefficient: 5, 1, 1/2
constant: none