Big Ideas Algebra Chapter 5

Solve using square roots.
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solution

Solve for x: x² - 3x + 10 = 0

• x = -3±i√31

• x = (3±√49)/2

• x = 5, -2

• x = (3±i√31)/2

Given the system of equations: y = x² x² + 2y = 12 What is the solution for the system?

• (-2, 4) and ((2, 4)

• (16, 4) and (-16, 4)

• (16, 4)

• (4, 2) and (-4, 2)

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Solve for u

3u + 2 = 32

• 102

• 9

• 10

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?

• 72 miles

• 34 miles

• 21 miles

• 18 miles

5x - 4 + 2x = 3

• 1

• 2

• 3

• 4

7x = 3x + 24

• 6

• 10

• 14

• 4

19 + a = -50

• a = -950

• a = -69

• a = -31

A group of friends is renting a boat for $120 plus $45 per hour. If they have a budget of no more than $400, write and solve an inequality to determine how many hours they can rent the boat.