Foundations for Algebra

What is an algebraic expression for this word phrase?
The quotient of a number and seven

• 5n
• 5 + n
• n - 7
• n/7

What is the algebraic expression for this word phrase?
74 less than a number

• n + 25
• n - 74
• 74 - n

What is an algebraic expression for this word phrase?
Five times a number

• 5n
• 5 + n
• n - 7
• n/7

What is an algebraic expression for this word phrase?
4 more than twice a number x

• 4 + 2x
• 2(x + 4)
• 4(2x)

What is an algebraic expression for this word phrase?
the product of 9 and the sum of a number x and 2

• 9(x + 2)
• 9x + 2

The table shows how the cost of renting a scooter depends on how long the scooter is rented. What is a rule for the total cost? Give the rule in words and as an algebraic expression.
Hours    Cost
 1           $17.50
 2           $25.00
 3           $32.50
 4           $40.00
 5           $47.50

•   Multiply the number of hours by 7.5 and add 10; 7.5n + 10
•   Multiply the number of hours by 10 and add 7.5; 10n + 7.5

What is the simplified form of this expression?
10⁵

• 50
• 100,000

What is the simplified form of this expression?
(0.2)⁴

• 0.8
• 0.16
• 0.0008
• 0.0016

What is the value of this expression when
x = 3 and y = 4
x² + 2x + 16 ÷ y²

• 16
• 31/16

What is the simplified form of this expression?
2⁵ + (11 + 4) ÷ 5

• 35
• 15
• 55