Expressions
Distribute:
2(4x - 9)
8x - 18
Solve:
2v - 8 = 6
V=7
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? Write and equations AND Solve
7x+10 = 24
x=2
Solve and Graph:
-8x + 4 > 20
x < -2
Open circle going to the left
A taxi charges a flat rate of $3.50, plus an additional $0.50 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
Write an inequality to represent the situation.
3.50 + 0.50x ≤ 10
Simplify the expression:
b + 6 - 10
b - 4
Solve:
106 = -6x+10
x= -16
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Write and equation AND Solve
4x+5=25
x=4
Solve and Graph:
3x - 11 > -2
x > -3
Open circle going to the right
Betty organized her parents’ anniversary party near the lake. $300 was the cost for the party equipment rentals. There was also a cost of $7.50 for each person. Betty has no more than $600 to spend on the party. Write an inequality that represents Betty’s situation.
300 + 7.50x ≤ 600
Distribute:
-5(5k + 2)
-25k-10
Solve
-70 = -X + 28
X=98
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write and equation AND Solve
6x+7=331
x=54
Solve and Graph:
2(x + 9) < 54
x < 18
Open circle going to the left
For the office party Mark has to spend less than $60. So he ordered hamburgers that cost $10 each and a pizza that costs $12. Write an inequality that represents Mark’s situation.
10x + 12 < 60
Combine like terms:
3u + (-7) + (-7u)
-4u - 7
Solve:
8x - 16 + 3 = 165
x=22.25
The cost of renting a car is $20 to take the car and $4 for every hour it spends in your possession. The total amount Lucie paid was $40. For how many hours did Lucie have the car? Write and equation AND Solve
4x+ 20 =40
x=5
Solve and Graph:
8 + 5x ≥ 38
x ≥ 6
Closed circle going to the right
Taylor charges $3.50 for dropping one person at their destination. He also charges $0.20 per mile. A man only has $10 to spend. Write an inequality that represents his situation.
3.50 + 0.20x ≤ 10
Factor:
18x + 27
9(2x+3)
Solve:
5(x + 10) = -70
x= -24
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12? Write and equation AND Solve
1/2X + 4 = 12
x =16
3x - 13x + 6 ≥ 76
x ≤ -7
Closed circle going to the left
The school trip can spend no more than $500. The trip cost $275 and $5 per student. Write an inequality that represents his situation.
275 + 5x ≤ 500