Algebraic Expressions

Which of the following pairs of equations are equivalent to each other?

• 3z +2z and 5z

• (7x-7x)-y

• 8.3 + 7.2b -3.6b and 10.8b

• -5r . 4 -4 and 0

• 6(q-3)and 6q-18

What is the sum of (2x-5y) and (x+y)?

• 3x + 2x

• x -6y

• 3x -4y

• -5y +5y + 4y

Mr. Cory asked his class to write an expression equivalent to the one he displayed on the board. Adriana correctly wrote the equivalent expression 7(2m - 3n- mn)-7. Which of the following expressions could have been the one Mr. Cory wrote on the board?

• 14m - 3n - mn -7

• 14m - 21n + 7mn -7

• 14m-9 - 21n - 7mn +2

• 14m - 9 + 21m - 7mn + 2

Two equivalent expressions are shown in the equation where a and b are both integers. a(7x + 3) = b + 14x.

What are the values of a and b?

• a =6 , b=2

• a=2, b=6

The mayor of Carrabelle, is expecting an increase in the population by 6.5% next year. If p represents the population, which expression can the mayor use to find the expected population next year?

• 1.65p

• 1.065p

• p + 0.065

• 1 + 0.065

1lb mixed nuts = $4.50

1lb chocolate candies = $2.40

1lb granola = $6.00

Dmitar buys 2/3 pounds of mixed nuts, 1/2 pound of chocilate candies and 1/1/4 1lbs of granola to make a trail mix. How much did Dmitar spend to make the trail mix?

• $11.70

• $12.90

The price to mail a letter at the post office is 0.49 for the first ounce and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter. How much did the letter weigh?

• 8

• 7

• 2.45