Integers
Order Of Operations
The Coordinate Plane
Expressions and Variables
Miscellaneous
100
Find the mean of the following integers, -17, -6, 12, -2, and -32.
-9
100
5 x 8 + 6 ÷ 6 - 12 x 2
17
100
What quadrant is the ordered pair (-3,-2) in?
Quadrant 3
100
Mr. Adams is h inches tall. He is three times as tall as his son. How tall is his son?
h÷3
100
Evaluate the expression where z=5. Find (11+z)-65
(11+5)-65 =16-65 =-49
200
What is the difference between absolute value and opposite numbers?
The absolute value of a number is its distance from 0 on a number line. For example, variable x's absolute value would be written as "| x |". Numbers are opposites when they have the same absolute value but they have opposite signs. The expression -10 can be read as "the opposite of 10" or "negative 10".
200
A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 off the total?
n=number of guests total= (50+(n x 20))-100 when n=35 total= (50+(35 x 20))-100 = (50+700)-100 = 750-100 = $650
200
Label the quadrants, origin, x-axis and y-axis on a coordinate plane.
http://01.edu-cdn.com/files/static/learningexpressllc/9781576857458/COORDINATE_GEOMETRY_01.GIF
200
Lilia scores 15 points fewer than Bob, who scores 35 points. Carol scores half as many points as Lilia. How many points does Carol score? Write an expression and evaluate it.
10 points
200
Evaluate the expression: 75-(65)(5)+109
75-325+109 =-141
300
Which sum is farther from zero, the sum of 101 and 85, or the sum of -98 and -104?
The sum of -98 and -104 is farther from zero than the sum of 101 and 85. If you add -98 and -104, you will get -202 and if you add 101 and 85, you'll get 186. That is closer to zero than -202.
300
Use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value of 2. You may add exponents and/or negatives at your will.
Sample Answer: 8+6-4-2(cubed) =14-4-8 =2
300
Describe the location of the ordered pair (4,2).
In the 1st quadrant. 4 units to the right from the origin and 2 units up the y axis.
300
The middle school team scored three field goals worth three points each and two touchdowns are worth six points each, with a single extra point for each touchdown. Write a numerical expression to find the team's score. Evaluate the expression.
3(3)+2(6)+1(2) 23 points
300
The sum of Cooper’s, Dante’s, and Maria’s ages is 31. Dante is twice as old as Cooper. Maria is one year older than Dante. How old are Cooper, Dante, and Maria?
31=2a+a+2a+1 30=5a a=6 Cooper:12 Dante:6 Maria:13
400
What property is being shown when a+(-a)=0?
Additive inverse property is being shown when a+(-a)=0.
400
A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much does the factory pay its workers per week?
This means that 88 earn 85.50 a day = 7524 to these workers total daily + 1550 for the other 10. = 9074 to all 98 workers each day. Now multiply this by 6 9074 * 6 = 54444 a week
400
What is the definition of ordered pair?
A pair of numbers (x,y) that can be used to represent a point in a coordinate plane. The first number is the x-coordinate, and the second number is the y-coordinate.
400
The cost of a rope at a hardware store depends on its length in feet and its price per foot. Write a variable expression using 4 variables to represent the cost of 2 ropes that have different lengths and prices per foot. Explain what each variable represents. Use the expression to evaluate the total cost to buy a 28-foot rope at $.23 per foot and a 36-foot rope at $.39 per foot.
Answer : pl+ cf , where p is the cost per foot, l is the length in feet of one rope and c is the cost per foot and f is the length in feet of the other rope ; $20.48
400
Find the mean and the median of these set of numbers: 51, -21, 34, 23, 78
Mean: 33 Median: 34
500
Jane and her friends were selling cookies. They sold 4 more boxes the second week than they did the first. On the third week, they doubled the sale of their second week. Altogether, they sold a total of 352 boxes. How many boxes did they sell in the third week?
352=x+(x+4)+2(x+4) x=43 Jane and her friends sold 94 boxes in the third week.
500
A group of 20 members and 5 non-members visited a museum. The admission cost was $6.00 for members and $10.00 for non-members. The group decided to divide the total cost le evenly among all 25 people. What did each person pay ?
20(6)+5(10) ÷ 25 =170 ÷ 25 = 6.8 $6.80
500
Plot the coordinates in a coordinate grid. (4,2) ,(0,2),(-1,4),(-3,0),0,-2),(3,-2) Then connect the points and tell what polygon is formed.
Pentagon
500
The sum of three numbers is 12. The first is five times the second and the sum of the first and third is 9.
Number 1:a Number 2:b Number 3:c a+b+c=12 a=5b a+c=9 5b+b+c=12 6b+c=12 5b+c=9 c=9-5b 6b-5b+9=12 b+9=12 b=3 a=5(3) a=15 15+3+c=12 c=-6 a=15 b=3 c=-6
500
Your family is going on a vacation. Your destination is 880 miles away. If your family is driving at an average of 55 miles per hour for 8 hours a day. The car gets 28 miles per gallon of gas. Your car can hold 10 gallons of gas. If you start your vacation on a full tank of gas, how many times will your family have to stop for gas in order to arrive to your destination?
Since you have a full tank at start you can take 280 miles off the 880 mile destination amount, so you only really have 600 miles you need to buy gas for. so 600/280 = 2.14 Which means you need to stop 3 times, because you can't stop 2.14 times. in words, you drive 280 miles, stop, drive another 280, stop, drive another 280, stop and then drive 40 miles and arrive at your destination. Answer: 3 times
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