Unit 2 Test Review

When solving an inequality, when must you change the direction of the inequality sign?

• When you subtract a positive number from both sides

• When you divide both sides by a negative number

• When you add a negative number to both sides

• When you multiply both sides by a positive number

A basketball coach is ordering jerseys for members of the basketball team and can choose between small, medium, and large jerseys. The cost of a small jersey is x dollars. The coast of a medium jersey is 1 dollar more than the small jersey, and the cost of a large jersey is 2 dollars more than the medium jersey. The coach orders 5 medium jerseys and 7 large jerseys for a total cost of $146. The equation below can be used to find the cost, in dollars, of one small jersey.

5(𝑥 + 1) + 7(𝑥 + 3) = 146

After distribution, what will the equation look like?

• 5x + 7x + 21= 146

• 5x + 7x= 21

• 12x + 5= 146

• 5x + 5 + 7x +21= 146

A basketball coach is ordering jerseys for members of the basketball team and can choose between small, medium, and large jerseys. The cost of a small jersey is x dollars. The coast of a medium jersey is 1 dollar more than the small jersey, and the cost of a large jersey is 2 dollars more than the medium jersey. The coach orders 5 medium jerseys and 7 large jerseys for a total cost of $146. The equation below can be used to find the cost, in dollars, of one small jersey.

5(𝑥 + 1) + 7(𝑥 + 3) = 146

What is the cost, in dollars, of one small jersey?

(a)  

A taxi ride costs $3 plus $2 for each mile driven. When you rode in a taxi, the total cost was $39. This can be modeled by the equation below, where 𝑚 represents the number of miles driven.

2m + 3= 39

How long was your taxi ride? Show all work.

(a)  

Which value of 𝑦 makes the equation below true?

3𝑦 + 8 = 7𝑦 + 11

• − 19/4

• − 3/4

• 3/4

• 19/4

Solve the inequality. Remember to write your answer as an inequality.

𝑥 + 6 < −2𝑥 − 3

(a)