Ged Math practice test 10 - online test

Every 30 minutes, 500 Americans are involved in vehicular accidents.
How many vehicular accidents occur in 600 minutes?

18,000 accidents

10,000 accidents

5,000 accidents

9,000 accidents

In order to find out how many vehicle accidents occur over a 600-minute period, you need to start by finding out how many 30-minute periods are in 600 minutes. 600 ÷ 30 = 20 periods Next, multiply the number of periods by the number of accidents per period. 20 × 500 = 10,000

Which of the following equations is written in slope-intercept form?

xy = 8

y = 6x + 2

x = 2y - 6

6 = 2x + 3y

The equation of any straight line can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. None of the remaining answers are written in this formation.

A set of 9 numbers {3, 3, 4, 5, 5, 5, 6, 7, 7} has a mean of 5. Another number is added to the set and the mean becomes 6.
What number is added to the set?

5

15

10

11

The total sum of the 9 numbers is Mathematical Reasoning lesson Math practice test 10 exam questions 3. question explanation
The total sum of the 10 numbers is Mathematical Reasoning lesson Math practice test 10 exam questions 3. question explanation
45 + number added = 60.
Number added is 60 - 45 = 15.

If a horse eats 12 pounds of hay a day, how many pounds of hay a horse eats in a year?

4.890

4,380

2.340

1.560

To find the amount of hay a horse eats over a year, multiply the 12 pounds each day by 365 days.
Mathematical Reasoning lesson Math practice test 10 exam questions 4. question explanation

Solve the equation 3x = 24 for x.

6

8

12

3

To isolate the unknown value x, we divide both sides of the equation by 3.
On the left, dividing by 3 “undoes” the effect of multiplying by 3 and returns to x. On the right, Mathematical Reasoning lesson Math practice test 10 exam questions 5. question explanation. x=8
To check, substitute the solution 8 into the original equation.
Original equation: 3x = 24
Substitute 8 for x: 3(8)=24
Simplify both sides: 24=24

Mathematical Reasoning lesson Math practice test 10 exam questions 6. question =

undefined

-1

1

17

Division by zero is undefined.
Hence, Mathematical Reasoning lesson Math practice test 10 exam questions 6. question explanation is undefined.

Which of these is true?

Mathematical Reasoning lesson Math practice test 10 exam questions 7 question 1 Answer is negative

Mathematical Reasoning lesson Math practice test 10 exam questions 7 question 2 Answer is positive

Mathematical Reasoning lesson Math practice test 10 exam questions 7 question 3 Answer is an integer

Mathematical Reasoning lesson Math practice test 10 exam questions 7 question 4 Answer is undefined

The symbol for square root is Mathematical Reasoning lesson Math practice test 10 exam questions 7. question explanation.
The square roots of negative numbers are undefined.

There are 1,000,000 kb in a GB. Guy has 29 GB of storage on his computer. He has a lot of picture files of about 78kb.
What is the maximum number of such pictures he can store on his computer?

371,795

400,000

300,000

371,794

There are 1,000,000 kb in a GB.
In 29GB there are 29,000,000kb.
Guy can store Mathematical Reasoning lesson Math practice test 10 exam questions 8. question explanation pictures.
He can store 371,794 complete pictures

John paints blue spots on his car. He usually paints these blue spots in pairs.
If the total count of blue spots is 72, how many pairs of blue spots are there?

36

12

18

4

"Pairs of blue spots" means two at a time. If the total count of blue spots is 72, dividing by 2 will give us the number of pairs. Mathematical Reasoning lesson Math practice test 10 exam questions 9. question explanation
There are 36 pairs of blue spots.

There are 12 eggs in one box, and 12 boxes in one crate.
How many eggs are in a shipment of 24 crates?

3456 eggs

1602 eggs

156 eggs

244 eggs

12 eggs × 12 boxes ×24 crates = 3456 eggs

Simplify the given expression. Mathematical Reasoning lesson Math practice test 10 exam questions 11. question

-11

21

-21

28

Apply Order of Operations rules: P is for Parenthesis, and anything in parenthesis should be done first.
Followed by Exponents
Following now is Multiplication and Division, and this is special because it’s not that one needs to be done before the other, these are just worked from left to right.
Finally, Addition and Subtraction work the same way as Multiplication and Division. So, these will also be done from left to right, but these will be the last things done when simplifying an expression.
Our problem: Mathematical Reasoning lesson Math practice test 10 exam questions 11. question explanation
Subtract: 3 −8 = −5.
Apply the exponent: Mathematical Reasoning lesson Math practice test 10 exam questions 11. question explanation
= 3 + 25 − 7
Subtract: Add the opposite
= 3 + 25 + (−7)
Add: 3 + 25 = 28.
= 28 + (−7)
Add: 28 + (−7) = 21.

Chong thinks of a number, adds 10 then multiplies the number so obtained by 3 and gets 42.
If the number is n then write an equation for this.

3(n + 10) = 42

3n + 10 = 42

42n + 10 = 3

10n + 3 = 42

Adding 10 to n gives n + 10.
Multiplying the number obtained by 3 gives 3(n + 10).
Making this equal to 42 gives 3(n + 10) = 42.

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting.
How high was the initial height of the shrub?

15 inches

3.2 inches

18.2 inches

11.8 inches

Initial means at the beginning. At the beginning t is 0. h =15 + 3.2t gives the height of a shrub in inches after t weeks. When planting occurs the height is Mathematical Reasoning lesson Math practice test 10 exam questions 13. question explanation inches

There is a 12% sales tax. The pre-tax cost of a mobile phone is $280.
What is the tax payable on this mobile phone?

$28.56

$33.60

$312

$313.60

The sale price of the phone is Mathematical Reasoning lesson Math practice test 10 exam questions 14. question explanation. The tax is $313.60 - $280 = $33.60.

A rocket on a computer screen has a path modeled by the equation Mathematical Reasoning lesson Math practice test 10 exam questions 15. question where t is time in seconds and h is the height above a platform and is in computer units. Find how long the rocket takes to reach the platform.

2 seconds

10 seconds

5 seconds

12 seconds

The platform is reached when h = 0. It is necessary to solve the equation Mathematical Reasoning lesson Math practice test 10 exam questions 15. question explanation. This can be rearranged to Mathematical Reasoning lesson Math practice test 10 exam questions 15. question explanation. Hence (t - 5)( t + 2) = 0. Solving the equation gives t = 5 or -2. As t is a time it is not possible for t to be -2. The rocket takes 5 seconds to reach the platform.

Bill purchased a new car for $36,892.85, and he was responsible for paying the 6.5% sales tax.
What was the amount of sales tax that Bill paid on his new car?

$2,398.04

$2,213.57

$2,582.50

$2,766.96

In order to solve this problem, you will need to multiply:
$36,892.85 × 0.065 = $2,398.04.

What is the value of Mathematical Reasoning lesson Math practice test 10 exam questions 17. question when x = -1?

3

1

5

-1.5

Mathematical Reasoning lesson Math practice test 10 exam questions 17. question explanation when x=-1
Mathematical Reasoning lesson Math practice test 10 exam questions 17. question explanation

Which of the following is a factor of 450 and multiple of 25?

30

90

75

100

It can be confirmed by division that (a), (b) and (c) are factors of 450, while 100 is not. The multiples of 25 are 25, 50, 75,.... 75 is both a factor of 450 and multiple of 25

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting.
When was the height 31 inches?

Sometime between 3 and 7 weeks

Sometime between 11 and 18 weeks

Sometime between 7 and 12 weeks

Sometime between 6 and 10 weeks

h =15 + 3.2t gives the height of a shrub in inches after t weeks. When the height is 31 inches 31 = 15 + 3.2t
3.2t = 16
Mathematical Reasoning lesson Math practice test 10 exam questions 19. question explanation
t = 5
The height is 31 inches after 5 weeks

If Rachel needs 5 kilograms of solution, how many milligrams of solution does she need?

5,000 milligrams

500 milligrams

500,000 milligrams

5,000,000 milligrams

If Rachel needs 5 kilograms of solution, she needs 5,000,000 milligrams of solution. 1 kilogram is equal to 1,000 grams, so 5 kilograms are equal to 5,000 grams. 1 gram is equal to 1,000 milligrams, so 5,000 grams are equal to 5,000,000 milligrams.