Rise Placement Test Solving Equations and Inequalities Questions and Answers

Question 1

A student is saving for a trip that costs $540.
They have already saved $120 and can save an additional $35 per week.
Which inequality correctly represents the number of weeks, w, the student still needs to save to have at least enough money for the trip?

Accepted Answer

120 + 35w ≥ 540

Answer

120 + 35w ≤ 540

Answer

120w + 35 ≥ 540

Answer

120w + 35 ≤ 540

Question 2

Solve the following equation for x: 3(x + 2) - 4 = 2x + 9

Accepted Answer

x = 7

Answer

x = 5

Answer

x = 1

Answer

x = -1

Question 3

Which of the following is the correct solution set for the absolute value inequality |2x - 1| > 7?

Accepted Answer

x < -3 or x > 4

Answer

x < -4 or x > 3

Answer

-3 < x < 4

Answer

x > 4

Question 4

A taxi company charges a flat fee of $3.00 plus an additional $0.75 per mile. If a passenger has at most $15.00 to spend, what is the maximum number of miles they can travel?

Accepted Answer

16 miles

Answer

20 miles

Answer

24 miles

Answer

15 miles

Question 5

What are the solutions to the quadratic equation x² - 3x - 10 = 0?

Accepted Answer

x = 5 and x = -2

Answer

x = 2 and x = -5

Answer

x = -2 and x = -5

Answer

x = 10 and x = -1

Question 6

Solve the inequality: -2(x - 4) < 10

Accepted Answer

x > -1

Answer

x < -1

Answer

x > 1

Answer

x < 1

A student is saving for a trip that costs $540.They have already saved $120 and can save an additional $35 per week.Which inequality correctly represents the number of weeks, w, the student still needs to save to have at least enough money for the trip?

A student is saving for a trip that costs $540.
They have already saved $120 and can save an additional $35 per week.
Which inequality correctly represents the number of weeks, w, the student still needs to save to have at least enough money for the trip?