RATIONAL NUMBERS (6.2A, 6.2B, 6.2C)
Order from least to greatest:
-0.75, 3/4, -1/2, 0.6
Answer: -0.75, -1/2, 0.6, 3/4
Simplify:
3x + 4x
Answer: 7x
Convert 0.45 to percent
Method: "Two Time To The Right"
Answer: 45%
Area of rectangle: length 8, width 5
L X W = Area of Rectangle
8 × 5 = 40
Mean of: 4, 6, 1
(4+6+10)/3 = 20/3 =
Answer: 6.67
Plot -1.25 on a number line between -2 and 0.
Answer: Between -1 and -1.5, exactly one-fourth past -1.
Evaluate when x = 3:
2x²
2(3²) = 2(9)
Answer: 18
Convert 3/8 to decimal
Method: "Top-In, Bottom-Out"
3 ÷ 8 =
Answer: 0.375
Volume of rectangular prism: 4 × 3 × 2
L x W x H = Volume of Rectangular Prism
Answer: 24 cubic units
Median of: 3, 9, 12, 15, 20
Answer: 12
Which is greater: -4/5 or -0.78?
Convert:
-4/5 = -0.8
Answer: -0.78 is greater.
Solve:
x + 7 = 19
x + 7 - (7) = 19 - (7)
Answer: x = 12
Find 25% of 80
Method: 'of means multiply"
25% equals 0.25 after conversion to decimal. Move decimal two times to the right.
0.25 × 80 =
Answer: 20
Find area of triangle:
Base = 10
Height = 6
Area of Triangle =½ x B x H
½(10)(6) =
Answer: 30
Range of: 5, 8, 13, 21
21 - 5 = 16
Answer: 16
Absolute value of -3.6 + 1.2
-3.6 + 1.2 = -2.4
| -2.4 |
Answer: 2.4
Solve:
5x = 45
Method: "Top-In, Bottom-Out"
45/5 = x
Answer: x = 9
A shirt costs $40. It is discounted 15%. How much is the discount?
Method: Convert % to Dec. Then Multiply by initial cost.
0.15 × 40 = 6
Answer: $6
A box has volume 60 cubic units. Length = 5, Width = 4. What is height?
5 × 4 = 20
60 ÷ 20 = 3
Answer: Height = 3
If 8 out of 20 students prefer pizza, what percent is that?
Method: "Top-In, Bottom-Out", then convert Dec to %
8/20 = 0.4 =
Answer: 40%
A scuba diver is at -18.5 feet. She rises 7.25 feet. Where is she now
-18.5 + 7.25 =
Answer: -11.25 ft
Simplify:
5x + 2y - 3x + y
Combine like terms:
(5x - 3x) + (2y + y)
Answer: 2x + 3y
A shirt costs $40. After a 10% discount, what is the final price?
Method: 10% of $40 is $4
40 - 4 = 36
Answer: $36
Surface area of cube with side 3
6(3²)
6(9) =
Answer: 54
A teacher recorded the number of books read by six students:
4, 7, 9, 10, 10, 14
Question:
If one more student joins the class and the new class mean becomes 9, how many books did the new student read?
Step 1: Find the current total
4 + 7 + 9 + 10 + 10 + 14 = 54
Step 2: Let x = books read by new student
New total = 54 + x
There are now 7 students
Mean formula:
(54 + x) ÷ 7 = 9
Step 3: Solve
54 + x = 63
Answer: x = 9