Algebraic Expressions
Identify the terms in the expression 17x + 9.
17x and 9
Write the phrase as an expression.
9 fewer than 23
23 - 9
Which property does the expression 1 x q = q illustrate?
Multiplication Property of One
Factor the expression using the GCF.
42 - 12
6(7 - 2)
Identify the constant and coefficient in the expression 17x + 9.
constant is 9
coefficient is 17
Write the phrase as an expression.
6 more than the quotient of 15 and 3
15/3 + 6
Use the Distributive Property to simplify the expression 8(3x + 2).
Factor the expression using the GCF.
36x - 28
4(9x - 7)
Evaluate the expression x2 + 5 when x = 3.
14
Your basketball team scored 4 fewer than twice as many points as the other team. Write an expression that represents the number of points your team scored.
2p - 4
Combine like terms to simplify the expression 4 + x + 6 + 2x
10 + 3x
Factor the expression using the GCF.
60 - 150x
The amount earned (in dollars) for recycling p pounds of copper is 2p. How much do you earn for recycling 28 pounds of copper?
$56
Write an expression using exponents that represents the area of a square with a side length of 6w.
(6w)2
or
36w2
Simplify the expression 5(n + 3) + 4n
9n + 15
A basketball team receives a discount on each jersey purchased. The original price of each jersey is x dollars. The team buys 18 jerseys for a total of (18x -36) dollars. What can you conclude about the discount?
(18x - 36) = 2(9x - 18)
x is the original price per jersey
36 represents the total discount
The discount is $2 per jersey.
Add one set of parentheses to the expression 2x2 + 4 - 5 so that the value of the expression is 75 when x = 6.
2(x2 + 4) - 5
The sum of two numbers if 5. The greater number is b. Write an expression that represents the lesser number.
5 - b
Train A travels at 25 miles per hour and Train B travels at a greater speed of x miles per hour. Write and simplify an expression that represents how many miles farther Train B travels in three hours.
3(x - 25)
Simplified: 3x - 75
You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives x dollars, and you receive the remaining amount. You sell 15 gallons of cider for (15x + 45) dollars. How much money do you receive for each gallon of cider that you sell?
15x + 45 = 15(x + 3)
15 is the number of gallons sold
x is the amount the company receives
$3 is the amount you receive for each gallon