Algebra
What property is illustrated by this equation?
(0.7+1)*0=0
A. Additive identity property
B. Multiplicative property of zero
C. Multiplicative inverse property
D. Associative property of multiplication
B. Multiplicative property of zero
For A, the additive identity property is if you add a number to zero, you get that number back. 5+0=5
For C, the multiplicative inverse property is that any number times its reciprocal is 1. 1/5*5=1For D, the associative property of multiplication is that when you are multiplying multiple numbers, it does not matter in which order you multiply them. (2*3)*4=2*(3*4)
This equation shows that anything multiplied by zero is zero. This is the multiplicative property of zero.
Look at the table:
Number of Customers at a Restaurant
Day | Number
---------------
Mon | 134
Tues | 126
Wed | 115
Thurs | 108
Fri | 172
-------------
According to the table, what was the median number of customers?
A. 115
B. 126
C. 131
D. 172
B. 126
Median is the middle number when the numbers are ordered.
The order of this data set is:
108, 115, 126, 134, 172
The middle number is 126.
Where is (0,9) on a coordinate grid?
A. In Quadrant I
B. In Quadrant II
C. On the x-axis
D. On the y-axis
D. On the y-axis
A coordinate grid looks like this:Quad II |<--(0,9) Quad I
-----------------|---------------
Quad III | Quad IVBecause (0,9) has a zero, it must be on an axis. The x is zero, so it is on the y-axis.
What is the value of 72-4+5?
A. 50
B. 40
C. 15
D. 14
A. 50
72=49.49-4=45.
45+5=50
A student created this sequence: 1, 4, 7, 10
If the student continues the sequence, what will be the 7th number in the pattern?
A. 13
B. 16
C. 19
D. 22
C. 19
This pattern is an arithmetic sequence. You can tell because when you subtract a number from the one before it, it is always equal to 3. 10-7=3, 7-4=3, 4-1=3.
Now, we must find the 7th number in the pattern.
We started at 4=10, so:
5=13
6=16
7=19
What term describes the number 5 in the following number sentence?
5x-2=18
A. Term
B. Variable
C. Equation
D. Coefficient
D. Coefficient
A term is either a single number or multiple numbers multiplied together. Here, 5x, 2, and 18 are terms.
A variable is the unknown number. Here, the variable is x.
An equation is the all of the numbers and variables. Here, the equation is 5x-2=18.
A coefficient is the number the variable is being multiplied by, 5.
Kaitlyn has 15 shirts in her drawer that are all the same size and shape.
6 shirts are white. 4 shirts are blue. 3 shirts are red. 2 shirts are green.
Kaitlyn randomly selects two shirts without replacement. The outcome of the second shirt is...
A. dependent on the outcome of the first shirt, because not replacing the first shirt affects the outcome of the second shirt
B. dependent on the outcome of the first shirt, because not replacing the first shirt does not affect the outcome of the second shirt
C. independent of the outcome of the first shirt, because not replacing the outcome of the first shirt affects the outcome of the second shirt
D. independent of the outcome of the first shirt, because not replacing the outcome of the first shirt does not affect the outcome of the second shirt
A. dependent on the outcome of the first shirt, because not replacing the first shirt affects the outcome of the second shirt
Because Kaitlyn is not replacing the shirt after she picks the first one, it changes the probability of the next shirt. For example, if she picks a green shirt, there is only one more green shirt, and the probability of picking another will be less than it was before (2/15 vs 1/14).
If this was independent, the outcome of the first selection would not affect any other outcomes.
This means it is dependent, and will affect the outcome of the second shirt.
The area of a rectangle is 56 square inches. Identify the two measurements from the following that could be the length and width of the rectangle:
4 in, 6 in, 7 in, 8 in, 20 in, 50 in
The rectangle is 7 inches by 8 inches.
(Area is length times width; 7 x 8 is 56 square inches)
A farmer has 6 cartons of eggs for sale. Each carton contains 12 eggs. If 2/3 of the eggs are brown eggs, what is the total number of brown eggs he has for sale?
A. 4
B. 8
C. 48
D. 72
C. 48
6 cartons * 12 eggs per carton = 72 total eggs.
72 eggs * 2/3 brown eggs per carton = 48 brown eggs
A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. Which of these statements could be true?
A. There are 6 red apples and 1 yellow apple
B. There are 18 red apples and 8 yellow apples
C. There are 4 red apples and 9 yellow apples
D. There are 9 red apples and 13 yellow apples
B. There are 18 red apples and 8 yellow apples
There are 9 red apples to 4 yellow apples (or 9:4) in this bag. You can multiply a ratio and it will still be the same. Therefore, the answer is B. There are still 9:4 apples in the bag.
What is the value of x when x/3=2.13?
x= 6.39.
Start by transforming into a proportion. X/3=2.13/1Cross multiply: x*1; 3*2.13
3*2.13=6.39x=6.39
What is the most likely range for the data plotted in the box and whisker plot?
15 17 19 21 23 25 27 29
A. 6
B. 14
C. 21
D. 29
B. 14
Range is the largest number subtracted from the smallest number in a data set. The ends of the box and whisker plot are the ends of the data set.
The smallest number in this set is about 15. The largest number is about 29.
29-15= 14
I have two circles and a rectangle. Without overlapping, what is the name of the model that can be made from these shapes?
A. Cone
B. Rectangular prism
C. Sphere
D. Cylinder
D. Cylinder
A cylinder is two circles for the sides and a rolled up rectangle making the middle.
What is 3½ * 1¼?
A. 2 4/5
B. 3 1/8
C. 4 3/8
D. 5 5/6
C. 4 3/8
3½ is 3+1/2. 3+1/2=3.5
1¼ is 1+1/4. 1+1/4=1.25
3.5*1.25=4.375, or 4 3/8
Which of these is an integer?
A. 7/10
B. 6.5
C. -12
D. -2 3/8
C. -12
Natural numbers are all positive non-decimal numbers. Whole numbers are natural numbers and zero.
Integers are all whole numbers, both positive and negative, and zero. The only answer that is an integer is C.
What procedure could be used to find a value for x to make this equation true?
7x=36
A. Subtract 7 from 7x and subtract 7 from 36.
B. Multiply 7x by 7 and multiply 36 by 7.
C. Divide 7x by 7 and divide 36 by 7.
D. Add 7 to 7x and add 7 to 36.
When removing a whole number coefficient, divide the number on both sides to make the equation equal.
This list shows the number of text messages five friends sent last week:
13, 60, 61, 63, 64
What is the most appropriate measure of center for this data?A. Mean because all the numbers are close to one another in value
B. Median because all the numbers are close to one another in value
C. Mean because 13 text messages is much lower than the other numbers
D. Median because 13 text messages is much lower than the other numbers
D. Median because 13 text messages is much lower than the other numbers
The median is a resistant measure. This means that it will not be affected by outliers, such as 13 in this set. If we were to use mean for this data, it would be 52.2, which is not very centered. It is affected by the outlier.However, if we used median, it would be 61, which is a better measure.
If the edge length of a cube is 3 meters, what is the total surface area of the cube?
A. 54 square meters
B. 36 square metersC. 27 square meters
D. 18 square meters
A. 54 square meters
Surface area of a cube is 6a2 where a is the length of a side.
32 = 9. 9*6=54 square meters.
Megan bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. She uses 1.2 meters of tape to seal each box. What is the total number of boxes Megan can seal with these 4 rolls of tape?
A. 109 boxes
B. 130 boxes
C. 132 boxes
D. 157 boxes
A. 109 boxes
4 rolls of tape*32.9 meters of tape=131.6
131.6 total tape/1.2 per box=109.67 boxes can be sealed
Which list of numbers contain only common factors of 24 and 36?
A. 2, 4, 6, 12
B. 2, 4, 8, 12
C. 3, 6, 9, 12
D. 3, 6, 12, 18
A. 2, 4, 6, 12
2*12=24 and 2*18=36.
4*6=24 and 4*9=36.
6*4=24 and 6*6=36.
12*2=24 and 12*3=36.
Therefore, all of these answers are factors of both numbers.
Which graph is the solution set to this inequality?
1≥n
A. o---------->
<--1---2---3---4---->
B. ●------------->
<--1---2---3---4--->
C. <---------------------o
<----(-2)----(-1)---0---1---->
D. <------------------●
<--(-2)--(-1)----0---1---->
D. <------------------●
<--(-2)--(-1)----0---1---->
Whenever there is a greater than or equal to (or less than or equal to), ≥ (or ≤) the dot is filled in. Whenever it is just less than (<) or greater than (>) the dot is not filled to show that number is NOT included.
If we flip this equation, n≤1. n is less than or equal to 1, so the answer is all numbers less than or equal to 1, which is D.
In a box of pastries, there are 4 raspberry, 3 blueberry, 6 cream cheese, and 7 apple pastries.
If I randomly choose 1 of these same-sized pastries from a box, what is the probability that it will have a cream cheese filling?
A. 25%
B. 30%
C. 43%
D. 60%
B. 30%
First, add up the total pastries. 4+3+6+7=20.
There are 6 cream cheese pastries in the box. 6/20=0.3
0.3=30%
The diameter of a circular table is 6 feet. Which of the following is the closest to the area of the tabletop?
A. 113.04 square feet
B. 28.28 square feet
C. 18.84 square feet
D. 9.42 square feet
B. 28.28 square feet
The area of a circle is πr2. We are given that the diameter is 6 feet. A diameter is twice the radius of a circle. 6/2 is 3, therefore r=3.
32=9 and 9*3.14=28.26.
Bob wants to buy a camera that costs $228 including tax. He has saved $4.75 each week for the past 8 weeks. How much more money does Bob need to buy the camera?
A. $6
B. $38
C. $48
D. $190
D. $190
8 weeks * 4.75 = $38 have been saved.
$228-$38 = $190.
Which is true?
A. 7/11 ≥ 5/6
B. 2/5 < 3/8
C. 3/10 < 4/9
D. 5/12 ≥ 4/7
C. 3/10 < 4/9
For A, 7/11 must be smaller than 5/6 because you can estimate that 7/11 is closer to 6/12 (or 1/2) while 5/6 is closer to 1.
For B, 2/5=0.4. 1/8 is about 0.125, so you can estimate that 3/8 is about 0.3.
For D, 5/12 is less than one half. 4/7 is close to one half, but because you would have to increase the denominator to make it 1/2 (4/7 is greater than 4/8) we know it is greater than one half.For C, 3/10 is 0.3. You can estimate that 4/9 is close to 4/10, which is 0.4. Therefore, the answer is C.