Solve Multi-step Inequalities
4x + 3 greater than or equal to 19
What is greater than or equal to 4
-3x greater than or equal to 12 OR 4x + 2 > 14
What is x less than or equal to -4 OR x > 3.
Solve. x -5 greater than or equal to x -5.
True Statement/Infinitely Many Solutions.
Brian has $105 in his bank account and adds $40 each week. Kyra has $32 in her bank account and adds $48 each week. After how many weeks will Kyra have the same amount or more money in her bank account than Brian? (Create the inequality statement that would best describe the situation).
What is 105 + 40 less than or equal to 32 + 48.
Simplify the Algebraic Expression. 4x - (3x + 2) - 2(-5x - 3).
What is 11x + 4.
-3x -4 less than 5
What is x greater than -3.
5(x + 1) < 10 OR -3(2x - 6) < -2x - 2
What is x < 1 OR x > 5.
Solve. 3x < 9 OR 4x + 12 greater than or equal to 14.
What is a True Statement. "Infinitely Many Solutions".
Fluber Cab Services charges a flat fee of $1.50 plus an additional $0.65 per mile. Cindy has no more than $15 to spend on a ride. (Create the inequality that best represents this situation).
Simplify the Algebraic Expression. 5(-8x - 13) + 7(6x + 30) - 75x
What is -73x + 145.
2(x+8) + 2x > 2x - 4
What is x > -10.
-18 < 3x < 18
What is -6 < x < 6. (x > -6 AND x < 6).
Solve. 2x - 5 > 2x + 3
What is -5 > 3, which is Not a True Statement, so this is an empty set or "No Solution".
Jenna wants to purchase a new guitar for $375. She currently has $45 in her savings account. If she plans to save $35 each week, how many weeks will it take her to save enough money to purchase the guitar? (Create the inequality that best represents this situation).
What is 45 +35x greater than or equal to 375.
Simplify the Algebraic Expression. -7/4(28x - 4) + 4 - 2(3x + 1) - (-7)
*This is DOUBLE Jeopardy, meaning DOUBLE the points!
What is -55x + 16.
1/2(-4x + 10) greater than or equal to 3/4(8x - 12) - 2
What is x less than or equal to 2.
-2 < 4x - 6 < 14
What is 1 < x < 5. (x > 1 AND x < 5).
Solve. -1 < 2 + x < -7
What is -3 < x < -9. (Because this is an "and" compound inequality, your solutions should overlap. In this case, they do not; Therefore the answer is No Solution.
Jenny is saving for a new 4-wheeler. The one she wants will cost her $784 in total. She has committed $495 so far. If she is able to save $60 per week, how many weeks will it take for her to save at least $784? Create an inequality to represent the situation. Then, solve.
"Eight subtracted from the product of seven and a number".
What is 7x - 8.
-3(2x + 4) - (2x + 4) > -4(2x + 3)
What is an empty set or no solution. (Not a true statement).
-1 < 2x + 1 less than or equal to 15. (Draw the graph to represent also).
What is -1 < x less than or equal to 7.
The graph should include an open circle at -1 with a line going to +7. The circle at +7 should be closed.
Solve and graph the inequality. 2(3x + 4) less than or equal to 5 + 6x + 3
What is a True Statement or "Infinitely Many Solutions". (The graph should cover ALL of the graph).
Maddie has no more than $40 to spend at the store on new paint and paintbrushes for her art project. Paintbrushes cost #3 each and paint colors are sold for $6 each. If Maddie buys 4 paintbrushes, how many new paint colors can she afford? Create the inequality statement to represent the situation in each problem. Then solve.
What is 3(4) + 6x less than or equal to 40. x less than or equal to 4.67. Therefore, Maddie can afford 4 new paint colors.
Write the algebraic expression or equation that represents the statement.
"Three less than the product of six and a number is five more than the same number".
What is 6x - 3 = x + 5.