Review of Equations and Inequalities

Solve the equation below:

14x - 34 = 11x + 29

x = ___

Xander's water bottle contains 15.4 oz of water, and he is drinking 0.5 oz of water per second. Leon's water bottle contains 5.4 oz of water, and he is adding 0.75 oz of water each second. Which inequality could be used to find the number of seconds (s) it will take for Xander's water bottle to have a fewer number of ounces than Leon's water bottle?

• 15.4 + .5s > 5.4 + 7.5s

• 15.4 - .5s > 5.4 + 7.5s

• 15.4 - .5s < 5.4 + 7.5s

• 15.4 + .5s < 5.4 + 7.5s

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

• 17x = 30 + 7x

• 17x = 15 + 22x

• 17x = 7 + 30x

• 17x = 22 + 15x

Combine like terms and solve. -3 + 7x - 9 + 8x = 54 x = ___

3(x - 3) ≤ 2(x + 2)

• x ≤ -5

• x ≥ 5

• x ≥ 13

• x ≤ 13

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

12(y+2)=6(2y+4)

• No Solution

• One Solution

• Infinite Solutions

What is the solution to the following inequality? 6x -3 < 51

• x > 9

• x < 8

• x < 48

• x < 9