Representing Algebraic Relationships

Write "the quotient of 78 and a number, decreased by 4" as an algebraic expression.

• 78 ÷ (4 - n)

• 78/n - 4

• 78/4 - 4

• 78 ÷ (n - 4)

Write "6 less than the product of a number and 7" as an algebraic expression.

• 6 - 7n

• (7-6) n

• 7(n-6)

• 7n - 6

Neighna scored 12 points in her first basketball game and n points in each of the next 3 games.  What expression represents Neighna's total points scored in her games?

• 12 + 3n

• 12n + 3

• 12 + n + 3

• 12(3+n)

Harry bought a season pass to the Tigers baseball games for $80.  If he pays $6 to pay to park, p, each time he watches a game, what expression shows how much Harry will pay for the season?

• 80 ⋅ 6 ⋅ p

• 80 + 6p

• 80 + 6 + p

• 6 + 80p

Which expression is equivalent to "43 times the sum of 8 and n".

• (43 ⋅ 8) + n

• (8 + n) 43

• 43 ⋅ 8 ⋅ n

• 43 + 8 + n

Which equation could be used to find the number of people, g, that are seated in each group of the gym?

• p = 4/g

• p = 4g

• p = g - 4

• p = g - 16

Aaron uses $15 to purchase an item that costs x dollars.  Which equation represents the amount of change, y that he should receive as change?

• y = 15 - x

• y = 15 + x

• x = 15y

• x = 15/y

The table shows the cost for bottles of gatorade.  Find the cost for a single bottle in each case.

• $2.00

• $1.50

• $2.50

• $3.00

What is the equation for this table?

• y = 2x + 2

• y = x + 6

• y = 3x

• y = x - 8

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + 0.20x

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x