Solving Equations and Inequalities

Alexa started a race with a 50-meter head start. She ran at a rate of 6.25 meters per second. Which equation shows how many seconds it took Alexa to reach 200 meters past the starting line?

• 50 - 6.25x = 200

• 50x + 6.25 = 200

• 50 + 6.25x = 200

• 50x - 6.25 = 200

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

What is the first step in solving the following problem?

2x+10=22

• Add 10 to each side

• Divide by 2

• Subtract 10 from each side

• Multiply by 10

Solve:  4 = 2(x + 3)

• 1/2

• 7/2

• -1

• 5

2x + 5 = -17

• x = -6

• x = -12

• x = 11

• x = -11

What is the solution for this equation?

• x = 4

• x = -4

• x = 12

• x = 4/3

Which of the following represents the solution to the inequality shown below? -6x - 8 > -32

• x < 4

• x > 4

Which of the following represents the solution to the equation?

• x = 3

• x = -3

• x = 17

• x = -17

5x - 7 = 8

• x = 1/5

• x = 3

• x = -3

• x = 15