Translating Phrases
Identifying Expressions
Evaluating Expressions
Simplifying Expressions
Potpourri
100
What is the algebraic expression for the phrase:
a number increased by 8
x+8 (you may choose any variable you want)
100
What value does x need to be for both of these expression to be 3x + 1 and 2x + 2 equivalent?
1
100
Evaluate the expression, y + x, when x = 9 and y = 32.
41
100
Use the Distributive Property to simplify the expression
7(4 - x)
28 - 7x
100
At a used bookstore, you can purchase two types of books. You can use the expression 3h + 2p to find the total cost (in dollars) for h hardcover books and p paperback books. What does the 3 represent in this expression?
3 is the cost in dollars for each hardcover book.
200
What is the algebraic expression for the phrase:
8 decreased by a number
8-x
200
Are x and 1x equivalent expressions? Explain briefly.
Yes they are equivalent expressions because they give the same result for every value of the variable.
200
Evaluate x² - y, when x = 13 and y = 9.
160
200
Simplify:
5(7y + 10) + 30
35y + 80
200
Factor this expression:
24x - 9
3(8x -3)
300
What is the algebraic expression for the phrase:
a number divided by the product of 4 and 3
n ÷ (4 x 3)
300
In 3x² + 5x + 7, identify the coefficient(s) and constant(s).
coefficients- 3, 5
constant- 7
300
Tickets for a baseball game cost a dollars for adults and c dollars for children. The expression 2a + 3c represents the cost (in dollars) for a family to go to the game. What is the cost for the family when an adult ticket is $17 and a child ticket is $12?
34 + 36
$70
300
Simplify the expression using the Distributive Property, show work.
2/3(6x + 27)
4x + 18
300
What is the main difference between a numerical expression and an algebraic expression. Use vocab rich language.
A numeric expression has only numbers and operators, an algebraic expression has both those plus variables.
400
What is the algebraic expression for the phrase:
the t cubed less than r cubed
r³ - t³
400
Add a set of ( ) to the expression 2x² + 4 - 5 so that they value of the expression is 75 when x = 6.
2(x² + 4) - 5
400
Evaluate 4x² ÷ 5(5y) when x = 5 and y = 8.
1/2
400
2w + 4w(7 + 8)
2w + 28w + 32w
62w
400
Is this always, sometimes, or never a true statement? Prove.
4(x - 1) = 4x - 1
Never. There is no value of x that would make both sides of this equation true in any circumstance.
500
Write the algebraic expression for the phrase, then solve when x = 54
38 less than twice a number x, divided by 7
(2x-38) ÷ 7
(2 • 54 - 38) ÷ 7 (108-38) ÷ 7
70 ÷ 7
10
500
There are 140 people in a singing competition. The graph shows the results for the first five rounds.
a) Write an expression (2 terms) that represents the number of people after x rounds.
b)Assuming this continues, how many people will compete in the 9th round?
a) 140 - 15x
b) 140 - 15(8) = 20
500
A youth group is making and selling sandwiches to raise money. The cost to make each sandwich is h dollars. The group sells 150 sandwiches for a total of (150h + 450) dollars. How much profit does the group earn for each sandwich sold?
150(h + 3).
$3 profit per sandwich
500
Simplify the expression
22 + 6x2 - 5x2 + 7x3 + 12
7x3 + x2 + 34
500
Give a numerical example of the commutative property of addition AND the associative property of multiplication.
Commutative: 7 + 6 + 4 = 6 + 4 + 7
(Different order of constants)
Associative: (3 x 5) x 2 = 3 x (5 x 2)
( () around different numbers)