Definitions
Order of Operations
Integers
Word Problems
Solving for x
100
The numbers ...-3,-2,-1,0,1,2,3.... are called ____________.
Integers
100
To simplify 8+2(6), which operation should be performed first?
Multiplication.
100
Simplify -1+10
9
100
The temperature on one January day in Chicago was 10 degrees below 0. Represent this quantity by an integer and tell whether this temperature is cooler or warmer than 5 degrees below 0.
-10 degrees; it is cooler than 5 degrees below 0.
100
Solve for a: a+5=10
a=5
200
The sign "<" means ________.
"Less than"
200
To simplify 9(3-2)÷3+6, what operation do we perform first?
Parentheses.
200
Simplify 7(-4)-(-6)
22
200
Twenty decreased by a twice number
20-2x
200
Solve for x: -36=x+12
-48
300
This is a calculated "central" value of a list of numbers.
The average.
300
Simplify 1-3∙2+5.
0
300
Evaluate 10-(-x)+y for x=-1 and y=4
13
300
The sum of seventeen and a number added to the product of five and the number
5x+(17+x)
300
Is -7 a solution to a+23=-16?
Yes.
400
A combination of operations on variables and numbers is a(n)________________.
Expression.
400
Insert parentheses where needed so that -6∙10-4 evaluates to -36.
-6(10-4)=-6(6)=-36
400
Find the average of 1, 2, 3, 4, 0
2
400
Joe Norstrom lost $400 on each of seven consecutive days in the stock market. What was his total loss (as a signed number)?
-$2800
400
Is 7 a solution of 2(b-3)=10?
No.
500
The opposite of a number is also know as this.
The additive inverse.
500
To simplify -2÷2(3), what operation do we perform first?
Division.
500
-(-(-|(-2)^2 |)-(-2^2 )+2^2
4
500
Mt. Washington in New Hampshire has an elevation of 6288 feet above sea level. The Romanche Gap in the Atlantic Ocean has an elevation of 25,354 feet below sea level. How much taller is Mt. Washington than the Romache Gap?
31,642 ft.
500
Solve for x: 20x=15x+40
x=8