Two-Step Equations
-2x - 63 = 47
What is x = -55
Brad needs to collect at least 200 cans for a food drive. He has already collected 40 items. Write and solve an inequality to represent the number of cans, c, that he must still collect.
200 <= 40 + c, c >= 160
Seven more than twice a number is 15. Write and solve an equation.
What is 2x + 7 = 15 X = 4
When do you flip the inequality symbol?
When you multiply or divide by a negative.
x/4 - 6 ≤ -10
x <= -16
x/2 + 4 = 12
What is x = 16
Sarah budgets $260 for yoga training. She buys a yoga mat for $20 and pays $12 per yoga class. Write an inequality to represent the situation.
260 < = 20 + 12y,
-3x - 13 = -7x + 15
7
Solve and graph. p - 4 < 8
What is p < 12
-3(4c+2) > 18
c < -2
h/12 + 18 = 13
What is h = -60
A family drive 400 miles per day on a trip. How many days, d, must they travel to reach a distance of at least 1600 miles? Write and solve an equation.
400d > or = 1600, d >= 4
-20x = -5(3x + 7)
7
-16x < -48
Solve and graph.
x > 3
Solve and graph. 25 - 5r > -30
What is r < 11
Is x = -2 a solution to the following equation? 1 = 4x + 9
What is yes
Sally needs $150 for a concert ticket. She already has $60 and she can earn the rest by working 10 hours at her job. Let h represent her hourly earnings. Write an equation to represent this situation.
150 = 60 + 10h
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 and solve an equation to show how many cards she started with?
What is x/2 + 3 = 29, x = 52 cards
-20x ≥ -100
What is x ≤ 5
-8 > (5x + 4)/7
What is x < -12
3(x+7) = -3
X = -8
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?
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? Write and solve an equation.
What is 8(x-2) = 40 x = 7
m/13 ≤ -4
What is m ≤ -52
(3/4)x - (2/3) > (5/6)
9x - 8 > 10, 9x > 18, x > 2