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Two-step Inequalities
100
-2x - 63 = 47
What is x = -55
100
3(6 - y) = 27
What is y = -3
100

Twice a number is 15. Write an equation. Find the number.

What is 2x = 15


X = 7.5

100

Graph the following inequality. x < 16

See Google Slides

100

x/4 - 6 ≤ -10

x <= -16 


200
x/2 + 4 = 12
What is x = 16
200
Is d = -3 a solution to the following equation? 4(d + 7) = 16
What is yes
200

Tickets to a concert cost $25.00 each, including tax. Xavier has $150.00 and wants to get tickets for himself and some friends. Write an equation describing the situation. Remember: equations have variables, equal signs, and the variable isn't "alone."

150 = 25t

200

Solve and graph. p - 4 < 8

What is p < 12. See Google Slides for graph

200

When you multiply or divide both sides of an inequality by a negative number, you must __________the inequality sign.

What is flip

300
h/12 + 18 = 13
What is h = -60
300
8 + 5n - 6 = 37
What is n = 7
300

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200, 200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that describes this event. Remember: equations have variables, equal signs, and the variables aren't left "alone." 

12a + 200 = 644

300

Define a variable. Translate to an inequality. Chen has at least $150 in his savings account.

A = money in account a  >= 150

300

Solve and graph. 25 - 5r > -30

What is r < 11

400
Is x = -2 a solution to the following equation? 1 = 4x + 9
What is yes
400
6 = (3/5) (10 - 5x)
What is x = 0
400

Mary had some baseball cards. She sold half of them to earn some money. Then she bought 3 more cards. Now she has 29 cards. Write an equation and solve. Remember: equations have variables, equal signs, and the variables aren't "alone"

What is x/2 + 3 = 29

x = 52 cards

400

Solve: -20x ≥ -100

What is x ≤ 5

400

-8 > (5x + 4)/7

What is x < -12

500
(3/4)x + 5 = -4
X = -12
500
What is the value for x if the perimeter of a triangle is 29 units and its sides are 7, x, and x + 2?
What is x = 10?
500

The General Store sells friendship bracelets. This week, the bracelets are on sale for 2 dollars off each bracelet. Jenny purchased bracelets for her 8 friends and spent a total of $40. What was the original price of the bracelets?

What is 8(x-2) = 40 

x = 7

500

Solve : m/13 ≤ -4

What is m ≤ -52

500

Sara's hair is 4 centimeters long. Her hair grows 1.5 cm per month. Sara wants her hair to be less than 16 cm .Write an inequality to determine the number of months, m, Sara can allow her hair to grow so that it is less than 16 cm long. Write an inequality to describe this event, solve, check and graph that inequality 


1.5m + 4 < 16

m < 8 

See Google slides for graph.