The Distributive Property
2 (x + 1)
2x + 2
Jen is two years older than Matt. The sum of their ages is 22.
x + x + 2 = 22
x + 6 = 13
x = 7
24 / -6
-4
What does it mean for numbers to be "consecutive"?
One after another, next to each other on a number line
-2 (x + 4)
-2x + -8
I can spend up to 30 dollars at the mall. I want one $12 book and as many $2 pieces of candy as I can afford.
30 is less than or equal to 12 + 2x
3x - 4 > 5
x > 3
- 7 + 7 + 3 + 4 + -3
4
What is the difference between a filled in circle and an open circle on an inequality graph?
Filled in = less than/greater than OR EQUAL TOO
Open = less than/granter than
- (3x + 6)
-3x + -6
Three consecutive even numbers whose sum is equal 132.
x + (x + 2) + (x + 4) = 132
x + 3x + -2 + 6 = 28
x = 6
-3 * -4 + -14
-26
What is Egan's favorite animal?
Geese (would also accept ducks as an answer)
5 (4x + -3)
20x + -15
Egan has some tulips. Udvare has 4 less than twice as many tulips as Egan. Apollo has 3 more tulips than Egan. All together, they have 20 tulips.
x + (x + 3) + (2x - 4) = 20
12.5 + 6x + -3.5 = 27
x = 3
20 - (-16) + 3
39
Name three consecutive odd numbers.
Answers will vary.
12 (2x - 5 + 3)
24x + -60 + 36
Side 1 of a triangle is twice as long as side 3. Side 2 is three less than side 3. The perimeter of the triangle is 17.
x + (x-3) + 2x = 17
-3x + 13 < 2x + 8
1 < x
3 * -2 + 4 + -12
-14
What is one new thing you learned in this chapter?
Answers will vary