Algebraic Expressions
Identify the coefficients in the expression
5x+2+8y
5 and 8
Write the phrase as an expression: nine fewer than twenty-three
23-9
Simplify the expression. Explain each step.
10+(2+y)
(10+2)+y (APA)
8+y (addition)
Simplify the expression
11(4b-3)
44b-33
Factor the expression using the GCF
42-12
6(7-2)
Identify any constants in the expression
3x^2+x+7
7
Write the phrase as an expression: the product of a number d and 32
32d
Which property does the statement illustrate?
(c+2)+0=c+2
Addition property of zero
Simplify the expression
8(s-1)
8s-8
Factor the expression using the GCF
24+64x
8(3+8x)
Evaluate the expression when x = 8
3x + 2
26
Write the phrase as an expression: 6 more than the quotient of 15 and 3
15/3 +6
Complete the statement using the commutative property of multiplication
7*(4*x)=
7*(x*4) or (4*x)*7
Simplify the expression
5(n+3)+4n
9n+15
Factor the expression using the GCF
60x-150y
30(2x+5y)
Evaluate the expression when x = 20 and y = 4
8y-2x
-8
Write an algebraic expression with two variables, x and y, that has a value of 50 when x = 3 and y = 5
(multiple correct answers)
Simplify the expression. Explain each step.
5.3+(w+1.2)
5.3+(1.2+w) (CPA)
(5.3+1.2)+w (APA)
6.5+w (addition)
Each day, you take vocal lessons for v minutes and trumpet lessons for 30 minutes. Write and simplify an expression to find how many minutes of lessons you take in 4 days.
4(v+30)
4v+120
A soccer 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?
18(x-2)
The discount is 2 dollars off each jersey
Add one set of parentheses to the expression so that the value of the expression is 75 when x = 6
2x^2+4-5
2(x^2+4)-5
Your basketball scored 4 fewer than twice as many points as the other team. Write an expression that represents how many points your team scored. The other team scored 24 points. How many points did your team score?
2x-4
44 points
Write an algebraic expression that can be simplified using the Associative Property of Addition
(answers vary)
A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost (in dollars) for the family at the salon.
3(15+x)
45+3x
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?
15(x+3)
You receive 3 dollars per gallon