Math Unit 6 Expressions Test

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Lin wants to buy?

Answer explanation

The $1.29 per song is added to the amount being spent on the gift card.

Lin can spend the entire $50 or less than what is on the card, but she cannot spend more than $50.

Which number line shows all the values of x that make the following inequality true?

• A

• B

• C

• D

Answer explanation

Check numbers to determine the solution of an inequality. Zero is an excellent number to test.

Remember that a closed circle includes the value as part of the solution; open circle does not include the endpoint as a solution.

Refer to the previous question. On a number line, show all the values of t that make your inequality true. Which statement best describes your number line?

• The graph shows an open circle at 4.5 with shading to the right.

• The graph shows an open circle at 4.5 with shading to the left.

• The graph shows an open circle at -4.5 with shading to the right.

• The graph shows an open circle at -4.5 with shading to the left.

Answer explanation

The temperature will reach -4 degrees C after 4.5 hours.

Since the temperature needs to be colder, t must be larger than 4.5.

Answer explanation

Distribute the negative.

-- makes +

-+ makes -

Choose the algebraic expression that matches the verbal phrase.

• A) x + y

• B) x - y

• C) x * y

• D) x / y

Match the following

• seven divided by x

• Seven more than x

• Seven less than x

• 7 times x

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts. 

6( ​ (a)   x + ​ (b)   y)

​ (c)   x + ​ (d)   y

• 3

• 4

• 18

• 24

• 7

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts. 6( ​ (a)   x + ​ (b)   y)

​ (c)   x + ​ (d)   y

• 3

• 4

• 18

• 24

• 7

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts.

• 3

• 4

• 18

• 24

• 7

Simplify:

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6