Solving Linear Inequalities Review

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.

• t > 20

• t < 20

• t ≤ 20

• t ≥ 20

Translate the following phrase: Bob spends less than 5 hours on homework each night.

• b > 5

• b < 5

• b ≤ 5

• b ≥ 5

Translate the following phrase: Grace has $45 at most in her purse on a daily basis

• g < 45

• g > 45

• g ≤ 45

• g ≥ 45

Alicia has at most $196 to buy a new baseball glove and a new baseball bat. Which inequality represents this situation?

• y ≤ 196 – x

• y ≤ 196 + x

• 196 ≤ y + x

• y – x ≥ 196

Beng and Shim have less than $30 for candle–making supplies. The molds x cost $6 each and the wax y is $2 per pound. Which point represents a reasonable number of molds and pounds of wax they could buy?

• (3, 4)

• (4, 4)

• (5, 1)

• (3, 6)

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

• 14x + 5y ≥ 1000

• 14x + 5y < 1000

• 14x + 5y  ≤ 1000

• 14x + 5y > 1000

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.

• 225x +175y ≤ 21,000

• 225x +175y ≥ 21,000

• 225x +175y < 21,000

• 225x +175y > 21,000