Solve and Graph Inequalities Summative

Write x ≥ 0

using interval notation:

• (∞, 0)

• (0, ∞)

• (∞, 0]

• [0, ∞)

Interpret (-∞, 5]

• x < 5

• x ≤ 5

• x > 5

• x ≥ 5

Write the following in interval notation

x < 8

• [8, ∞)

• (8, -∞)

• (-∞, 8]

• (-∞, 8)

Write the inequality in interval notation. x > -1

• (-∞, -1)

• (-1, ∞]

• (-∞, -1]

• (-1, ∞) 

Amy owns a food truck that sells tacos and burritos. She only has enough ingredients to make 122 tacos or burritos.Write and solve an inequality that could represent the maximum possible value for the number of tacos sold, if Amy is making 100 burritos .

• 20 tacos

• 222 tacos

• 21 tacos

• 22 tacos

Kaylee and her children are going to a movie theater to buy drinks and candies. She must buy no less than 15 drinks and candies altogether. Write and solve inequality that would represent the most possible values for the number of drinks purchased, d if Kaylee is buying 3 candies.

• 12 drinks

• 11 drinks

• 18 drinks

• 5 drinks

• 45 drinks

Solve 5 (3x + 5) ≤ 95. What would x equal to?

• 5

• 4

• 2

• 3

How many steps are required when solving inequality word problems? (Read carefully)

• 3 steps: Solving, Checking, and Graphing

• 4 steps: Solving, Checking, Identifying the Property, Graphing

• 4 steps: Defining the Variable, Solving, Checking, and Graphing

• 3 steps: Finding Key words, Solving, and Checking

Solve 3.1415x ≤ 21.9905. What are the possible values for the inequality?

• 6

• 8

• 7

Solve 3.25x + 10 (11) ≥ 435. What would x equal to?

• 1

• 2

• 3

• 4