Extended Algebra Unit 4

Solve the following equation. -2x + 10 = 23

• x = -6.5

• x = 15

• x = 8.5

• x = -12

Solve the following equation. x/4 - 6 = -10

• x = -34

• x = -1

• x = -16

• x = -4

What is the first step to solving the following equation? 3(x - 9) = -15

• add 9 to both sides

• Distribute the 3

• divide by three on both sides

• add 15 to both sides

Determine the solution set for the inequality 3x – 9 > – 9.

• x > 6

• x > 0

• x < 0

• x < 6

solve the following inequality – x + 7 < 3

• x > 4

• x < 4

solve the inequality 2(x + 4) > – 6.

• x < 7

• x > -12

• x < - 9

• x > -7

For the equation 3x + 2y = 9, solve for y.

• y = -3/2x + 4.5

• y = -3x + 9

• y = 2x + 9

• y = 3/2x 4.5

12𝑦 + 2𝑥 = 24 solve for y

• y = -2/12 + 12

• y = 1/6 + 24

• y = -2/12x + 2

• y = -1/6x + 12

You are mowing lawns to earn money to buy a new video game system, which costs $500. You plan to save every dollar you earn. In addition, you want to be able to afford the accessories for the video game (e.g., controllers, games). You already have $150. You charge $9.50 per hour. Write an inequality to show how many hours you need to work before you have enough money to purchase the video game and its accessories.

• 150 - 9.50x < 500

• 150 - 9.50x < 500

• 500 + 9.50x > 150

• 150 + 9.50x > 500

For the equation a = bc + d, solve for d.

• d = a (bc)

• d = a + bc

• d = a - bc

• d = a / bc