Correct answer: 54
he amount of money that king earns for one hour: $616/44=$14
Number of additional hours that he work to make enough money is: $826−$616/1.5×$14=10
Number of total hours is: 44+10=54
Correct answer: 10.4
The closest to the value of x is 10.4
Correct answer: -3
An integer belongs to the set containing the counting numbers, their additive inverses, and zero. Therefore, -3 is an integer.
Correct answer: y=7.5x + 20
Second equation best represents the situation.
Correct answer: The data show a positive correlation.
The data in the scatter plot shows a positive correlation.
Correct answer: 0.50x + 15 = 25
The third equation is the right answer to find X.
Correct answer: 20
Five years ago, Faye was three times as old as Eddie. Eddie is 10 years now. Therefore, 5 years ago Eddie was 5 years.
Five years ago, Faye was: 𝐴=3×5=15
Now Faye is 20 years old: 15+5=20
Correct answer: As the value of x increases, the value of y decreases for positive values of x only.
The second statement is correct.
Correct answer: Every whole number is a rational number.
Rational numbers are the set of numbers that can be expressed as the quotient of two integers in which the denominator is not zero.
All whole numbers can be expressed in this manner; so every whole number is a rational number.
Correct answer: 5.64 x 10⁸
564,000,000 in scientific notation is 5.64 x 10⁸
Correct answer: It is linear because it increases at a constant rate.
The function is linear because it increases at a constant rate.
Correct answer: 7
4(7) – 10 = 18
Correct answer: 4.8
Two triangles ∆𝐵𝐴𝐸 and ∆𝐵𝐶𝐷 are similar. Then:
𝐴𝐸𝐶𝐷=𝐴𝐵𝐵𝐶=46=𝑥12
→48−4𝑥=6𝑥→10𝑥=48→𝑥=4.8
Correct answer: 168
After walking at a constant rate of 42 minutes, Marvin will burn 168 calories.
Correct answer: It is irrational.
√10 cannot be expressed as the ratio of two integers p and q and is therefore irrational.
Correct answer: 2.0 x 10⁻⁴
.0002 in scientific notation is 2.0 x 10⁻⁴
Correct answer: y = 2x + 3
The fourth equation could represent the data in the table.
Correct answer: 10
2/5×25=50/5=10
Correct answer: -4
8 – 3√16 = -4
Correct answer: 2 and 3
2²=4 and 3²=9
Since 5 lies between 4 and 9, √5 lies between 2 and 3.
Correct answer: 2
3 - 5(2) = -7
-9 + 2 = -7
Correct answer: y = –5
First choice is the best equation that represents the line in the graph.
Correct answer: 5
𝑥 is directly proportional to the square of 𝑦. Then:
𝑥=𝑐𝑦²
12=𝑐(2)²→12=4𝑐→𝑐=12/4=3
The relationship between 𝑥 and 𝑦 is:
𝑥=3𝑦²
𝑥=75
75=3𝑦²→𝑦²=75/3=25→𝑦=5
Correct answer: x = 2, y = 0
3(0) = 2 – 2
0 = -2(2) + 4
Correct answer: 1.35, 1.8, √5, 2.5
If we change the numbers all to the same accuracy, it is easier to order them on the number line.
Write 1.8 as 1.80, 2.5 as 2.50 and √5 as >2 because 2²=4 and < 2.5 because 2.5²=6.25.
Then, the correct order is 1.35, 1.8, √5, 2.5.
Correct answer: Square root of 50
Square root of 50 is an irrational number.
Correct answer: x < –1
Fourth choice is the right answer.
Correct answer: 60%,40%,90%
Percent of cities in the type of pollution A: 6/10×100=60%
Percent of cities in the type of pollution C: 4/10×100=40%
Percent of cities in the type of pollution E: 9/10×100=90%
Correct answer: Line p has a greater slope than line q.
As shown in the coordinate grid, line p has a greater slope than line q.
Correct answer: No, because -5² equals -25 and (-5)² equals 25.
Unless there are parentheses to denote otherwise, the exponent is only applied to the constant or variable immediately preceding it. If there are parentheses immediately preceding it, then it is applied to everything within the parentheses.
