Name: ______________________________________________ Date: __________ Period: ____
Unit 2 Test (Make up): Solving Equations and Inequalities
Please read each question carefully before answering. Please answer every
question, especially a multiple choice (even if you don’t know how to).
1. What is the solution to the inequality 2ℎ + 9 ≥ 3ℎ − 3 ?
a. ℎ ≤ 13
b. ℎ ≤ 12
c. ℎ ≥ 13
d. ℎ < 12
2. Jermaine is traveling to Canada next week and trying to figure out the temperature in relations
to Celsius. He knows it will be 60°F, but he needs to convert to Celsius. Please use the formula
below to solve for the degrees in Celsius.
a. 𝐶 = 15.5
b. 𝐶 = 4
c. 𝐶 = 12
d. 𝐶 = 13
3.
4. Please solve the compound inequality 3 < −2𝑥 + 5 < 11
a. −2 > 𝑥 > 6
b. −2 < 𝑥 < 6
c. 1 < 𝑥 < −4
d. 1 > 𝑥 > −3
5. A software company is hiring some programmers to add to its development team. A junior
programmer's salary is $40,000 and a senior programmer's salary is $60,000. To keep costs
down, the total spending on these new positions must at most $1,100,000 annually.
Select the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
x = the number of junior programmers
y = the number of senior programmers
a.
b.
c.
d.
40,000𝑥 + 60,000𝑦 ≥ 1,100,000
40,000𝑥 + 60,000𝑦 < 1,100,000
40,000𝑥 + 60,000𝑦 ≤ 1,100,000
40,000𝑥 + 60,000𝑦 > 1,100,000
Using the information below, please answer question 6.
Susan loves horses. Fortunately, she lives near the local stable and visits there quite often. Upon the
advice of the stable manager, Susan decided to open a horse grooming business during the summer.
This will give her the opportunity to earn extra money before her senior year. She spends $115 for the
start-up expenses on brushes and curry combs. She will charge $30.00 for each horse that she grooms.
6. Susan needs to make at least $300 next week to buy her mom a birthday present. Please select
the inequality that makes sense. Let ℎ = ℎ𝑜𝑟𝑠𝑒𝑠.
a. 30ℎ + 115 ≤ 300
b. 30ℎ + 115 ≥ 300
c. 30ℎ − 115 ≥ 300
d. 30ℎ − 115 ≥ 300
7. Please solve and graph the compound inequality
a.
b.
c.
d.
8. Solve for x using the equation 3𝑥 2 + 13 = 62
a. 𝑥 = ±4
b. 𝑥 = 5
c. 𝑥 = ±5
d. 𝑥 = 4
𝑥
2
> 1 𝐨𝐫 3𝑥 + 14 ≤ 2