Number Sense and Operations
What is the value of the expression: 15+3×(8−2)?
15+3×(8−2)=15+3×6=15+18=33
Write an algebraic expression for "seven less than twice a number n."
Twice a number n is 2n. Seven less than that is 2n−7. The algebraic expression is 2n−7.
Which of the following terms best describes a quadrilateral with four right angles and four congruent sides?
a) Rectangle
b) Square
c) Rhombus
d) Trapezoid
A quadrilateral with four right angles is a rectangle. If it also has four congruent sides, it is a square. The correct answer is
b)Square.
How many cups are in 3 pints?
There are 2 cups in 1 pint. Therefore, in 3 pints, there are:
3 pints×2pint cups
=6 cups
Convert 3 / 8 to a decimal.
0.375
Sarah has 3/4 of a pizza left. She eats 1/3 of the leftover pizza. What fraction of the whole pizza did Sarah eat?
3/12 -> 1/4
If x=5 and y=−2, what is the value of the expression 3x−y+4?
Substitute x=5 and y=−2 into the expression: 3x−y+4=3(5)−(−2)+4 =15+2+4 =21
A rectangular garden has a length of 12 feet and a width of 8 feet. What is the perimeter of the garden?
The perimeter of a rectangle is found using the formula P=2(l+w), where l is the length and w is the width. P=2(12 feet+8 feet)
P=2(20 feet)
P=40 feet
The following dot plot shows the number of books read by students in a class during the summer:
*
* *
* * * *
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1 2 3 4 5 Number of Books
What is the mode of the number of books read?
The mode is the most common response, 1.
Add 1/4 and 1/8
3 / 8
A store is having a 20% off sale on a video game that originally costs $45.00. What is the sale price of the video game?
First, calculate the amount of the discount:
20% of $45.00=0.20×$45.00=$9.00
Then, subtract the discount from the original price:
$45.00−$9.00=$36.00
The sale price of the video game is $36.00.
Solve for m: m+15=8
To solve for m in the equation m+15=8, subtract 15 from both sides of the equation: m+15−15=8−15 m=−7
A triangle has a base of 10 centimeters and a height of 7 centimeters. What is the area of the triangle?
The area of a triangle is found using the formula A=21bh, where b is the base and h is the height.
A=21(10 cm)(7 cm)
A=21(70 cm2)
A=35 square centimeters
The heights (in centimeters) of five basketball players are: 165, 170, 172, 168, and 175. What is the mean height of these players?
To find the mean height, add up all the heights and divide by the number of players (5):
Mean = (165+170+172+168+175) / 5
Mean = 850/5
Mean = 170 centimeters
16/144 -> 1/9
The ratio of boys to girls in a school club is 3:5. If there are 24 students in the club, how many girls are in the club?
The ratio of boys to girls is 3:5. This means for every 3 boys, there are 5 girls. The total ratio representing the whole club is 3+5=8 parts.
To find the value of one part, divide the total number of students by the total ratio parts:
24 students÷8 parts=3 students per part
Since the ratio of girls is 5 parts, the number of girls is:
5 parts×3 students per part=15 girls
There are 15 girls in the club.
The cost of a pizza is $12 plus $1.50 for each topping. If the total cost of a pizza was $18, how many toppings were on the pizza? Write and solve an equation to find the number of toppings.
Let t represent the number of toppings. The cost of the pizza can be represented by the equation: 12+1.50t=18
To solve for t: Subtract 12 from both sides: 1.50t=18−12 1.50t=6
Divide both sides by 1.50: t=1.506 t=4
There were 4 toppings on the pizza.
A figure is made up of a rectangle with dimensions 5 meters by 8 meters and a right triangle attached to one of the shorter sides. The base of the triangle is 5 meters and its height is 4 meters. What is the total area of the figure?
First, find the area of the rectangle:
A) rectangle=length×width
=8 meters×5 meters
=40 square meters
Next, find the area of the right triangle:
A) triangle =21×base×height
=21×5 meters×4 meters
=21×20 square meters=10 square meters
The total area of the figure is the sum of the areas of the rectangle and the triangle:
A total=A rectangle+A triangle
=40 square meters+10 square meters
=50 square meters
The table below shows the high temperatures (in degrees Fahrenheit) for a week:
Day Temperature (°F)
Monday 78
Tuesday 82
Wednesday 75
Thursday 85
Friday 80
Saturday 88
Sunday 79
What is the range of the high temperatures for the week?
The range is the difference between the highest and lowest values in a data set. The highest temperature is 88°F (Saturday). The lowest temperature is 75°F (Wednesday). Range = Highest Temperature - Lowest Temperature Range = 88°F−75°F=13°F
Divide 5/6 by 1/2
10 / 6 -> 5 / 3
Michael starts with −$12 in his bank account. He then deposits $35. Later, he withdraws 1/4 of his new balance. What is the final balance in Michael's account?
Michael starts with −$12. After depositing $35, his new balance is:
−$12+$35=$23
He then withdraws 1/4 of his new balance:
1/4 of $23=1/4×$23=$5.75
Finally, subtract the withdrawal from his new balance:
$23−$5.75=$17.25
The final balance in Michael's account is $17.25.
Which of the following values for p make the inequality 2p−3<7 true?
a) p=6
b) p=5
c) p=4
d) p=7
Substitute each value of p into the inequality 2p−3<7:
a) If p=6: 2(6)−3=12−3=9. 9<7 is false.
b) If p=5: 2(5)−3=10−3=7. 7<7 is false.
c) If p=4: 2(4)−3=8−3=5. 5<7 is true.
d) If p=7: 2(7)−3=14−3=11. 11<7 is false.
The value of p that makes the inequality true is c)p=4.
What is the most recent movie Mr. Topil has watched?
Pitch Perfect 2
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn from the bag at random, what is the probability of drawing a blue marble? Express your answer as a fraction in simplest form.
First, find the total number of marbles in the bag: Total marbles = 5 red + 3 blue + 2 green = 10 marbles
The number of blue marbles is 3.
The probability of drawing a blue marble is the number of blue marbles divided by the total number of marbles:
Probability (Blue) = Number of blue marbles / Total number of marbles = 3 /10
The probability of drawing a blue marble is 3 / 10.
How much aura will you get by doing well on your MAP testing?
Infinite