Factoring
Factor:
35-5b
5(7-b)
OR
-5(-7+b)
-2(6x+5)
-10-12x
Select the equivalent expressions to 4 - 8
a) 4 + 8
b) 4 + (-8)
c) 8 - 4
d) -8 + 4
b) 4 + (-8)
d) -8 + 4
Julia has $80. She wants to purchase a nail paint set for $16 and earrings. She spends the rest of the money on earrings. Each pair of earrings costs $8.
DEFINE THE VARIABLE.
x = number of earrings she can buy
Solve:
4x + 1 − 1 ≥ −8
4x ≥ −8
x ≥ −2
Factor:
7a-84f
7(a-12f)
2(x+5)+3(x−1)
5x+7
Which expression would create 3 - 2x when expanded
-(-3 - 2x)
-1/2 (4x - 6)
-2x + 3
OR
3 - 2x
Erin has $50. She wants to purchase a cell phone ($20) and spend the rest on music CDs. Each music CD costs $8. Write an inequality for the number of music CDs she can purchase
20 + 8c (less than or equal to) 50
Solve and draw on a number liner:
2p − 4p ≤ −2
2p − 4p ≤ −2
-2p ≤ −2
1 ≤ p or p (greater then or equal to) 1
Factor (yes it is possible)
x + 5y - 13z
-1(-x - 5y + 13z)
5b+7(b−2)−18
12b-32
Which TWO of the following is equivalent to 8 - 12 - (6 + 4)
a) 8 - 6 - 12 + 4
b) 8 - 12 - 6 + 4
c) 8 - 4 - 12 - 6
c) 8 - 4 - 12 - 6
Rebecca bought one gold fish ($32) and one star fish ($12). She spends the rest of her money on guppy fish. She starts with $80. Each guppy costs $6. Write an inequality for the number of guppies she can purchase.
44 + 6g (less than or equal to) 80
Solve and draw on a number line
0 > 3x − 3 − 6
0 > 3x −9
9 > 3x
3 > x or x (less than) 3
Factor:
33-9y+18z
3(11-3y+6z)
3(2x−6y)−5(x−2y)
x-8y
Identify the error in Andrew's work AND correct it:
4 + 2x + 3(1 + -4x)
4 + 2x +3 + 12x
7 + 14x
When using the distributive property, Andrew was supposed multiply 3 and -4x to be -12x, not 12x.
4 + 2x +3 + -12x
7 + -10x or 7 - 10x
A taxi charges a flat $2 plus an additional $0.50 per mile. Otis has only $11 to spend on the ride. How many miles can Otis travel?
2 + 0.5x (less than or equal to) 11
0.5x (less than or equal to) 9
x (less than or equal to) 4.5
Max 4.5 miles
Solve and draw on a number line
7 < −(−k − 3) + 2
7 < −(−k − 3) + 2
7 < −k + 3 + 2
7 < −k +5
2 < −k
k < -2 or -2 (greater than) k
Factor:
35xyn-50xym+10xy
5xy(7n-10m+2)
3/4 (3 - 8y + 16 - 4x)
3/4 (3 - 8y + 16 - 4x)
3/4 (19 - 8y - 4x)
(57/4) - 6y - 3x OR (14.25) - 6y - 3x
Select all the equivalent expressions to 2x - 7 - 5x +3
a) 2x + (-7) + 3 - 5x
b) 7 - 3x + 3
c) 2x - (7 + 5x) + 3
d) 2x - 5x - 4
e) 2x - 7 - (5x +3)
a) 2x + (-7) + 3 - 5x
c) 2x - (7 + 5x) + 3
d) 2x - 5x - 4
Alison and Nate each play a game in which they cannot laugh. In the game, a person starts with 120 points and loses 4 points for each laugh. If Nate finishes the game with 72 points, how many times can Alison laugh and still win or tie?
120 - 4x (greater than or equal to) 72
- 4x (greater than or equal to) -48
x (less than or equal to) 12
Alison can laugh 12 times
Solve and draw on a number line
−6(1 + 2x) ≥ 6(2x − 1) + 2x
−6(1 + 2x) ≥ 6(2x − 1) + 2x
−6 - 12x ≥ 12x − 6 + 2x
−6 - 12x ≥ 14x − 6
0 ≥ 26x
0 ≥ x OR x (less than or equal to) 0