Inequalities, Equalities, Vocabulary Practice test topic 1

A truck can be rented from Company A for $140 a day plus $0.50 per mile. Company B charges $60 a day plus $0.90 per mile to rent the same truck. What is the equation for which the rental costs for Company A and Company B are the same. (WRITE YOUR EQUATION DOWN. YOU NEED IT FOR QUESTION 2)

• m(140 + 0.50) = m(60 + 0.90)

• 140 + 0.50m = 60 + 0.90m

• 140m + 0.50 = 60m + 0.90

• 140 + 0.50m < 60 + 0.90m

Remember Company A charges $140 a day plus $0.50 per mile and Company B charges $60 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

• 40 miles

• 20 miles

• 200 miles

• 400 miles

Monster movie club charges a one-time membership fee of $25 and allows members to purchase movies for $5 each. Chester Creek movie club does not charge a membership fee and sells movies for $12 each. Which inequality shows how many movies must a member purchase before Monster movie club is a better deal? (REMEMBER THIS FOR THE NEXT QUESTION!)

• 25m + 5 > 12m

• 25 + 5m > 12m

• 25 + 5m < 12m

• 25m + 5 < 12m

Remember that Monster movie club charges a one-time membership fee of $25 and allows members to purchase movies for $5 each. Chester Creek movie club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase before Monster movie club is a better deal?

• 4

• 3

• 2

• 1

Joe solves the inequality: 5(𝑥 − 4) < 3𝑥 − 8

Which THREE statements about the solution are CORRECT?

• 6 is a solution

• 2 is a solution

• 8 is a solution

• 0 is a solution

• -6 is a solution

Remember that Joe solved the inequality 5(𝑥 − 4) < 3𝑥 − 8. What is the graph of the inequality Joe solved?

• 
• 
• 
• 

What is the solution of this equation? 5(𝑥−4)−8 = 4 - 2(3x + 5)

• All real numbers

• no solution

• x = -2

• x = 2

What is the solution of this equation? 3(𝑥+2)−7 = 5 - 4(2x - 1)

• All real numbers

• no solution

• x = 1

• x = -1

What is the solution to the inequality?
−2(3𝑥 − 12) > −18

• x > 3

• x < 3

• x > 7

• x < 7

What is the solution to the inequality?
−4(2𝑥 + 5) ≤ −28

• x ≥ 6

• x ≤ 6

• x ≥ 1

• x ≤ 1