Equations
Inequalities
Graphing
Word Problems
Mystery
100
What is the first step to solve the following equation? -3x + 2 = 5
Subtract 2 from both sides.
100
What is the first step to solve the following inequality?
4 + x > 10
Subtract 4 from both sides.
100
What is the inequality that matches this graph?
x < -1
100
Tyler spent $40 on a new skateboard. He wants to put stickers on the bottom and each one costs $2.50. Tyler spent a total of $65. What equation represents the number of stickers Tyler bought?
A.) 65x - 2.50 = 40
B.) 40x - 2.50 = 65
C.) 2.50x + 40 = 65
D.) 40 - 2.50x = 65
C.) 2.50x + 40 = 65
100
When do we need to flip inequalities?
When multiplying or dividing by a negative number.
200
Solve the equation.
4x = 12
x = 3
200
Solve the inequality.
14x > 28
x > 2
200
Graph the following inequality.
x < -3
200
Cathy has to buy supplies for school. She needs notebooks and pencils. Each notebook costs $4 and a pack of pencils costs $1.50. If Cathy buys 3 notebooks and wants to spend no more than $24, how many packs of pencils can she buy?
Which two equations can be used to find how many packs of pencils Cathy bought?
A.) 3(4) + 1.50x ≤ 24
B.) 3x + 1.50x ≥ 24
C.) 12 + 1.50x ≤ 24
D.) 4x + 1.50 ≥ 24
A.) 3(4) + 1.50x ≤ 24
C.) 12 + 1.50x ≤ 24
200
Do we need to flip the inequality when we solve
4 - 12x = -44
YES, we are dividing by a negative.
300
Solve the equation.
17 - 2x = 25
x = -4
300
Solve the inequality.
5x + 7 < 22
x < 3
300
Solve and graph the inequality.
6 + x > 3
x > -3
300
Chris wants to order some movies from Amazon. Each movie costs $15.99 and shipping for the entire order is $9.99. Chris has no more than $100 to spend.
How many movies can Chris order?
x ≤ 5
Chris can order 5 books.
300
Inequalities represent more than one solution.
TRUE or FALSE
TRUE
400
Solve the equation.
5x = 4x + 6
x = 6
400
Solve the inequality.
-6x ≥ 36
x ≤ -6
400
Solve and graph the inequality.
-3x ≥ -12
x ≤ 4
400
Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?
x ≤ 7
Brett can buy 7 books.
400
Create a word problem that fits this equation
5x = 25
(You may discuss with your team)
Answers will vary.
500
Solve the equation.
2(x - 3) = 10x + 2 - 4x
x = -2
500
Solve the inequality.
2x - 5 ≥ 15 + 4(3x)
x ≤ -2
500
Which step has the mistake?
2(1 – x) > -2
Step 1: 2 – 2x > -2
Step 2: -2x > -4
Step 3: x > 2
Step 4:
Step 3
500
Which word problem could be solved using this equation: 2(x + 13) = 25
A.) John buys a box with 25 bags of chips for $13. He sells each bag of chips for $2. How many bags of chips did John sell?
B.) A farmer wants to make a flowerbed to grow his tomatoes. If the perimeter is 25 feet and the width is 13, what is the length?
B.) A farmer wants to make a flowerbed to grow his tomatoes. If the perimeter is 25 feet and the width is 3, what is the length?
500
Create a word problem for this inequality
2x + 3 > 6
(You may discuss with your team)
Answers will vary.