Unit 9 Algebra Assessment

In the expression p × 7, the letter p represents

• a subtraction symbol

• a number sentence

• a multiplication symbol

• a variable

Which equation represents, "a box of doughnuts shared with four friends if each friend gets three doughnuts"?

• $\frac{d}{3}\ =\ 4$

• d + 4 = 3

• 4d = 3

• $\frac{d}{4}\ =\ 3$

Joey packed b boxes with 4 ornaments in each box. If there were 36 ornaments, what number sentence would be used to find out how many boxes Joey packed?

• b + 36 = 4

• 4 × b = 36

• 36 × 4 = b

• b - 4 = 36

If "a" represents a number, which of the following expressions means 5 less than that number?

• a - 5

• a + 5

• a ÷ 5

• 5 - a

Which expression represents the phrase “the quotient of a number and six“?

• 6^x

• $\frac{x}{6}$

• x - 6

• 6x

Nancy has 7 times more vacation days than Laura. If v represents the number of vacation days Laura has, which expression represents the number of vacation days Nancy has?

• v + 7

• 7 - v

• 7v

• $\frac{7}{v}$

Which problem below could be solved by the equation 4x = 20?

• John has 4 pencils. How many more pencils does he need to get a total of 20 pencils?

• Will buys 4 packages of pencils. Each package has 20 pencils. How many pencils did Will buy?

• Jen gives her friend 4 pencils. She is left with 20 pencils. How many pencils did she start with?

• Four teams have a total of 20 pencils and each has an equal number of pencils. How many pencils would each team have?

Which situation could be represented by 12 - n = 6

• Mark had 12 baseball cards. He gave an equal amount to his friends. Each friend now has 6 cards.

• Mark had 6 baseball cards. He was given some more for his birthday. He now has twice as many.

• Mark had 6 baseball cards. He was given some more for his birthday. He now has 12 baseball cards.

• Mark had 12 baseball cards. He gave some to a friend. He now has 6 baseball cards

Which equation represents "a number, y, increased by 45 is 312"?

• y + 45 = 312

• y ÷ 45 = 312

• y - 45 = 312

• y x 45 = 312

Identify the statements that describe a variable. (You must select ALL correct answers!)

• A variable can be represented by a letter.

• A variable is used to represent an unknown number in an equation.

• A number can be used to represent a variable.

• A symbol can be used to stand for a variable.