Arithmetics
2/5 + 1/5
3/5
What is the formula for the area of a triangle?
1/2(base x height)
What is the ratio of 2 cats to 5 dogs?
2:5
A bar graph shows that 10 students like apples, 8 like bananas, and 6 like oranges. How many students were surveyed in total?
10 + 8 + 6 = 24. So 24 students in total
What is a variable?
A variable is a symbol, usually a letter, that represents a number that can change or is unknown
7-(-4)
11
1. What is the perimeter of a rectangle with length 6 units and width 3 units?
2. What is the area of a rectangle with length 5 cm and width 4 cm?
1. 6 + 12 = 18 units
2. 5cm x 4cm = 20cm
A car travels 180 miles in 3 hours. What is its speed in miles per hour?
180 mi/3 hrs = 60 mph
A line plot shows the number of books students read over the summer. If 4 students read 3 books, 5 students read 5 books, and 2 students read 6 books, which number of books was read by the most students?
5 books
Evaluate 2x+1 when x = 4
2(4) + 1 = 9
0.6 x 0.4
0.24
What is the area of a triangle with base 10 m and height 6 m?
Recall: 1/2(b x h) = Area 1/2(10 x 6) = 30m2
Is the ratio 3:4 equivalent to 9:12? Explain.
Yes because 3 x 3 = 9 and 4 x 3 = 12. Since both sides are multiplied by a constant, they are proportional and thus equal
A table shows the number of hours four students studied and their test scores: Hours studied: 1, 2, 3, 4. Score (%): 60, 70, 80, 90. What is the pattern or rate of increase in test scores per hour studied?
10% increase per hour studied
Solve: x - 7 = 12
x = 12 + 7 --> x = 19
Which is greater: -3/4 or -0.5? Explain how you know
-3/4 = -0.75
-0.75 < -0.5
A shape is made by attaching a square (side length 4 m) to the side of a rectangle (length 6 m, width 4 m). What is the total perimeter of the new shape?
28 meters
Solve for x: 5/x = 15/21
105 = 15x --> 105/15 = x --> x = 7
A point is plotted at (-2,4) on a coordinate plane. In which quadrant is the point located?
Quadrant 2
Sam has 3 more than twice the number of marbles Julia has. If Julia has x marbles, write an expression for how many Sam has.
3 + 2x
A baker uses 3/4 cup of sugar for each batch of cookies. If she has 4 1/2 cups of sugar, what is the greatest number of whole batches she can make, and how much sugar will she have left?
4 1/2 รท 3/4 --> (9/2)/ 3/4 --> 9/2 x 4/3 --> 18/3 = 6
The greatest amount of whole batches is 6 batches without any remaining sugar
A garden is in the shape of a rectangle. Its length is twice its width. If the perimeter is 36 meters, what is the area of the garden?
Perimeter: x + x + 2x + 2x = 36 --> 6x = 36 --> x = 6
When x = 6
Area: 6 x 12 = 72
A recipe calls for 3 cups of flour for every 2 cups of sugar. If you want to make a larger batch using 10 cups of sugar, how many cups of flour will you need?
3:2 = x:10 --> x = 15 So you'll need 15 cups of flour
A line graph shows a plant's height over 5 weeks: Week 1: 2 cm, Week 2: 4 cm, Week 3: 6 cm, Week 4: 8 cm, Week 5: 10 cm. If the trend continues, what will be the plant's height at Week 8?
Recognize that this ratio has a constant of proportionality of 2 so for week 8, the plants height would be 8 x 2 = 16 cm
Solve for x: 3x + 4 = 19
First combine like terms: 3x = 19 - 4 --> 3x = 15
Isolate x: x = 15/3 --> x = 5