Solve Equations and Inequalities

Solve the inequality:  -3x + 4 > -2

• x < -1

• x > -1

• x < 2

• x > 2

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500

• 500-25w ≥ 200

• 500+25w ≤ 200

• 200-25w ≤ 500

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

x/5 = 6

• x = 5

• x = 6

• x = 10

• x = 30

An inverse operation is

• reversing the sign in an inequality

• using the opposite operation to solve equations

•  A number’s distance from zero

When solving an inequality, what is the main things that are different from solving equations.

• Draw the line

• Use inverse operations to solve.

• Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

Choose the first step in solving the following equation.
-3y - 12 = 14

• add 3 from both sides

• add 12 to both sides

• subtract 12 from both sides

-12x > 36

• x > -3

• x > 48

• x < -3

- 3( 4 - 2x) = 6

• x = 1

• x = -3 

• x = 3

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Lin wants to buy?

• 9.99+1.29n≥50

• 9.99+1.29n≤50

• 9.99−1.29n≥50

• 9.99−1.29n≤50