Combining Like Terms
5y + 4y
9y
Solve for x. 2x + 4 = 12
x = 4
What is another expression that has the same value as a - b?
a + (-b)
Triangle ABC is congruent with Triangle DEF. Line segment AB is 2 inches long, how long is line segment DE?
2 inches
Is y = 4x a proportional or non proportional relationship?
Proportional
Slide 55
y=x
3x + 4 - 5x
-2x +4
Solve for x and graph.
5x + 13 > 43
x > 6
Does this have infinite, one, or no solutions?
5x - 10 = 5(x - 2)
Infinite solutions
What's the difference between similar and congruent triangles?
Similar Triangles: Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.
Congruent Triangles: Two triangles are congruent if they have exactly the same size and shape, meaning all corresponding sides and angles are equal.
Is y = 5x + 2 a proportional or non proportional relationship?
Non proportional
Slide 56
y=15x
y=15x
4(2x - 2)
8x - 8
Solve for x and graph.
10 - 4x < 42
x > -8
Does this have infinite, one or no solutions? 4z + 3 = 3(2z - 4)
One solution
Slide 50
Triangle PQR
Tom and Sarah both collect coins at the end of each month.
Tom collects 7 new coins at the end of each month. Sarah starts with 15 coins in her collection. She then collects 4 new coins at the end of each month.
After how many months will Tom and Sarah have the same number of coins in their collections?
5 months
Slide 57
y=3x+2
3(5 - x) + 2x
15 - x
Henry and Tae both want to go to a Five Dollars and below store event together. They have a total of $119 to spend there. The entrance fee for the event is $2 per person. They also both want to buy gifts for their friends while there. Everything at the event is $5. What is the maximum number of gifts they can buy for their friends?
5x + 4 = 119, x = 23, 23 Gifts.
Slide 53
ly - xl
Slide 51
x = 55
Alex and Mia both plant trees at the end of each month.
Alex plants 6 new trees at the end of each month. Mia starts with 8 trees in her garden. She then plants 4 new trees at the end of each month.
After how many months will Alex and Mia have the same number of trees in their gardens?
4 months
Slide 58
y = 2/3x - 4
4y - 10 - 6(y + 2)
-2y + 2
Bob wants to save up at least enough money for a PS5, which costs $500. Bob starts to mow lawns to save the money he needs to buy it. He spends $40 on supplies to rent a mower and have enough gas. He mows each lawn for $25. Create and solve an inequality that Bob can use to determine the number of lawns he needs to mow, x, to reach his goal.
25x + 40 > 500, x > 18.4, at least 19 lawns
Slide 54
Right, right, left
Slide 52
y = 7
Liam and Zoe both save money at the end of each week.
Liam saves $3.75 each week. Zoe starts with $5.75 and saves $3.50 each week.
When Liam and Zoe have the same amount of money saved, How much money will they each have at that time?
$86.25
Slide 59
1 mile