Integers & Rational Numbers
What is the opposite of -8?
8
Write an expression for “seven less than x."
x - 7
Carrie jogs 6.8 miles a day for 12 days. How far did she run?
81.6 miles
Solve: z – 12 = 30
z = 42
Using the GCF, factor: 8m – 12
4(2m - 3)
-7 X 4
-28
Evaluate 4y + 5 when y = –2
-3
The dining hall sold 100 pizzas this week, which is 26 more than they sold last week. How many pizzas were sold last week?
74 pizzas
Solve: 6x + 9 ≥ –3
x ≥ –2
Simplify: 18y – 7 +9
18y + 2
Sophia lost 45 points over 9 rounds. How many points did she lose per round?
5 points
Simplify: y + 6 – 4 – 3y
2 - 2y
Jack splits 23.5 feet of string among 5 projects. What is the length of string for each project?
4.7 feet
What is the first step to solve 3y + 7y = 50?
Combine like terms.
For example: 3y + 7y = 10y
Simplify: 3(4.3x – 25 + 3.3x)
22.8x -75
What is the quotient of –72 ÷ –9?
8
What is the value of -3a + 2bc when a = –2, b = 5, and c = 3?
36
Mr. Rodrigo says:
“My age times 4 minus 16 plus my age times –2 is 32.”
What is his age?
24 years old
Solve: 5x – 3 > 7
If you were graphing this inequality, would the circle be OPEN or CLOSED?
x >2
OPEN
Using the GCF, factor: 18x + 72
18(x + 4)
Henry uses 8 ice cubes to cool his drink. Each lowers the temperature by 2ºF. What’s the total temperature change?
-16ºF
Using the GCF, factor: 12y – 18
6(2y - 3)
Samantha is planning a party and needs to buy some supplies. She needs to buy 3 packs of balloons and some party hats. The cost of each pack of balloons is $6, and each party hat costs $2. Let x represent the number of party hats Samantha buys.
If Samantha spends $30 in total, write an equation and solve for x to find how many party hats she bought.
18+2x=30
x = 6
She buys 6 party hats.
Write an inequality for this phrase. Then solve it.
A number divided by 2 is less than 9
x ÷ 2 < 9
x < 18
Simplify: 15y – 5x + 8 - 2x + 8y
23y - 7x + 8