Ged Math practice quiz 1 - online test

Given the formula Mathematical Reasoning lesson Math practice quiz 1 exam questions 1. question , find the value of a when s = 7, b = 13 and c = 24.

985

2112

293

646

Substitute for s, b and c.
a = 7×7 + 3 ×13 × 24
a = 49 + 39 × 24 = 985.

One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old.
If 84 people applied for the job, how many were between 25 and 50?

32

28

24

33

One third of 84 is Mathematical Reasoning lesson Math practice quiz 1 exam questions 2. question explanation. 28 people 25 years old or younger applied for the job. Two seventh of 84 is Mathematical Reasoning lesson Math practice quiz 1 exam questions 2. question explanation. 24 people who were at least 50 years old applied for the job. 84 - 28 - 24 = 32. 32 people applied for the job who were between 25 and 50.

How many ways can 6 people sit on a bench if 3 of them have to sit side by side?

720

5040

144

24

Treat the 3 people who wish to sit side by side as a single unit. There are 4 units consisting of three people in the group. The 4 units can be arranged in 4! ways on the bench. The three people in the group can be arranged in 3! ways.

Jackson is three times as heavy as Andrew. If the sum of their weight is 360 pounds, find Andrew's weight.

80 pounds

120 pounds

110 pounds

90 pounds

Let Andrew's weight be x. Jackson's weight is three times Andrew's weight, or 3x.
Set up an equation equal to 360 pounds.
x + 3x = 360
4x = 360
x = 90 pounds

The formula h - 15 = 3.2t gives the height h in inches of a plant t weeks after planting.
Which is the rate at which the plant's height is increasing?

3.2 inches per week

15 inches per week

18.2 inches per week

48 inches per week

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 quiz 1 exam questions 5. question explanation inches . After one week the height is 15 + 3.2 = 18.2 inches . The rate at which the height increases is 18.2 - 15 = 3.2 inches

Solve the given equation for x.
14x = 84

x=4

x=6

x=-6

x=-4

To undo the effect of multiplying by 14, divide both sides of the equation by 14. In this way, we will isolate an unknown value x.
14x = 84 Original equation.
Mathematical Reasoning lesson Math practice quiz 1 exam questions 6. question explanation

Round the number 304,059,724 to the nearest hundred thousand.

304,059,700

304,000,000

304,059,000

304,100,000

The test digit is greater than or equal to 5. The “Rules for Rounding” require that we add 1 to the rounding digit, then make all digits to the right of the rounding digit zeros. Thus, rounded to the nearest hundred thousand, Mathematical Reasoning lesson Math practice quiz 1 exam questions 7. question explanation

Reduce the given fraction to lowest terms. Mathematical Reasoning lesson Math practice quiz 1 exam questions 8. question

Mathematical Reasoning lesson Math practice quiz 1 exam questions 8 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 8 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 8 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 8 question 4 Answer

The greatest common divisor of 33 and 99 is 33. Therefore, Mathematical Reasoning lesson Math practice quiz 1 exam questions 8. question explanation

Translate the phrase into a mathematical expression: “6 times the sum of the number n and 3”

6n + 3n

6(n + 3)

3n + 6

3(n + 6)

The word “sum” corresponds to addition, and the word “times” corresponds to multiplication. Therefore, the numbers n and 3 are first added, and then the result is multiplied by 6. In terms of the variable n, the corresponding mathematical expression is 6(n + 3).

Determine k so that the point (−1, k) is a solution of y = −5x+ 3.

k = 8

k = -3

k = 3

k = -8

Substitute (x, y) = (−1, k) into the equation y = −5x+ 3.
Original equation.
y = −5x+ 3
Substitute: −1 for x, k for y.
k = −5(−1) + 3
Multiply: −5(−1) = 5.
k = 5 + 3
Add: 5 + 3 = 8.
k = 8
Thus, k = 8.

On his first 3 exams, Bob scored 79, 54, and 61.
What score must Bob have on the fourth exam to come to an average of 71 for all of the four exams?

90

95

72

79

Let x represent Bob’s score on his fourth exam.
In this case, the unknown is the score on Bob’s fourth exam. To find the average of four exam scores, sum the four scores, then divide by 4.
Mathematical Reasoning lesson Math practice quiz 1 exam questions 11. question explanation
This last result can be simplified by summing the three known exam scores. Mathematical Reasoning lesson Math practice quiz 1 exam questions 11. question explanation
To isolate x, multiply both sides of the equation by 4.
Mathematical Reasoning lesson Math practice quiz 1 exam questions 11. question explanation
Mathematical Reasoning lesson Math practice quiz 1 exam questions 11. question explanation
x+194=284
We need to isolate x once again, so we subtract 194 from both sides of the equation.
x + 194 − 194 = 284 − 194
x = 90

At -282 feet, Death Valley is the lowest point in North America. On the entire landmass of Earth, the lowest point is on the Dead Sea shores along the Israel- Jordan border. Here, the elevation is -1,371 feet.
So how many feet is the Dead Sea shore lower than Death Valley?

-1,089

-1,653

1,653

1,089

To find how much lower the shore of the Dead Sea is from Death Valley, subtract the Dead Sea’s lower elevation from Death Valley’s higher elevation.
To subtract, add the opposite. Add the integers.
−282 − (−1, 371) = −282 + 1, 371 = 1, 089
The Dead Sea at the Israel-Jordan border is 1,089 feet lower than Death Valley.

Translate the phrase into a mathematical expression “4 less than 11 times the number x ”

11x + 4

4x − 11

4x + 11

11x − 4

The phrase “less than” corresponds to subtraction, and the word “times” corresponds to multiplication. Therefore, the number x is multiplied by 11, and then 4 is subtracted. In terms of the variable x, the corresponding mathematical expression is 11x − 4.

Simplify the expression: 8(7x+ 8)

120x

120

56x+ 64

64x+56

Use the distributive property to expand the expression, and then use order of operations to simplify.
8(7x + 8) = 8(7x) + 8(8)
= 56x+ 64

Simplify the given expression. Mathematical Reasoning lesson Math practice quiz 1 exam questions 15. question

-71

-186

48

18

Following the rules of order of operations, we must first simplify the expressions inside the parentheses.
Then we can apply the exponents and after that, subtract.
Mathematical Reasoning lesson Math practice quiz 1 exam questions 15. question explanation
4 − 75 =
= −71

Which of these is the greatest?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 16 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 16 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 16 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 16 question 4 Answer

To compare which among fractions has the highest value, they must be in the form where all their denominators are the same. Thus:
Mathematical Reasoning lesson Math practice quiz 1 exam questions 16. question explanation
Mathematical Reasoning lesson Math practice quiz 1 exam questions 16. question explanation
Mathematical Reasoning lesson Math practice quiz 1 exam questions 16. question explanation
Mathematical Reasoning lesson Math practice quiz 1 exam questions 16. question explanation
When comparing fractions with the same denominators, the fraction with the highest value is the one with the highest numerator. In this case, it is Mathematical Reasoning lesson Math practice quiz 1 exam questions 16. question explanation.

What is the floor area of a room that is 16 ft by 14 ft?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 17 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 17 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 17 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 17 question 4 Answer

To find the area of a rectangular figure, use: Area = L × W
Mathematical Reasoning lesson Math practice quiz 1 exam questions 17. question explanation

A stack of coins has 10 nickels. Only one of the nickels is facing "heads" up.
What is the probability that the fifth coin from the bottom is facing "tails" up?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 18 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 18 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 18 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 18 question 4 Answer

The probability of an event happening is defined in math as: Mathematical Reasoning lesson Math practice quiz 1 exam questions 18. question explanation Since only one of the coins is "heads" up, the rest (9 coins) are "tails" up: Mathematical Reasoning lesson Math practice quiz 1 exam questions 18. question explanation This means that there is a 90\% chance that the 5th coin from the bottom (or anywhere from the stack, for that matter) will be tails.

The six deer at the game station had weights of 45 pounds 7 ounces, 66 pounds 4 ounces, 56 pounds 12 ounces, 62 pounds 5 ounces, 64 pounds 9 ounces, and 72 pounds 3 ounces.
What was the median weight of the deer?

61 pounds 8 ounces

61 pounds 2 ounces

58 pounds 13 ounces

63 pounds 7 ounces

Median is the middle value for a set of numbers arranged in a series. Sorting the weights and writing them in sequence: (* = median pair) 45 pounds 7 ounces 56 pounds 12 ounces 62 pounds 5 ounces * 64 pounds 9 ounces * 66 pounds 4 ounces 72 pounds 3 ounces There are two middle values, called middle pairs, but there is only one median. In this case, we average the middle pair: The average of 62 pounds and 64 pounds: (62 + 64) ÷ 2 = 63 pounds The average of 5 ounces and 9 ounces: (5 + 9) ÷ 2 = 7 ounces The median is 63 pounds 7 ounces

Five girls are running a 400 meter race.
Their times are 56.1 seconds, 57.8 seconds, 59.3 seconds, 60.3 seconds, and 57.4 seconds.
Given this information, what is the average time it takes to complete a 400 meter race?

57.23 seconds

57.8 seconds

58.64 seconds

58.18 seconds

To find the average, add all of the girls' race times and divide by the number of racers.

If a factory can produce 6.
6 meters of copper wire a minute, how many meters of wire can the factory produce in a 12 hour work day, provided the factory shuts down for a half hour lunch?

5474 meters

4374 meters

4734 meters

4554 meters

Compute the number of hours worked: 12 hours - 30 minutes
= 11 hours and 30 minutes
= 11 hours + 30 minutes Convert the time to minutes: Mathematical Reasoning lesson Math practice quiz 1 exam questions 21. question explanation To calculate the length of wire produced: Mathematical Reasoning lesson Math practice quiz 1 exam questions 21. question explanation

The measures of two complementary angles are in the ratio of 2:6.
What is the smallest angle?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 22 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 22 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 22 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 22 question 4 Answer

Two angles are said to be complementary angles if the measure of their angles add up to 90 degrees. Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation If we let x be the smaller angle, then: Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation The problem also talks about the ratio of the 2 angles. Ratio 2:6 can also be reduced and written as 1:3, for simplicity and ease of computing. The ratio 1:3 simply means that, if the small angle measures x, the larger angle measures 3x: larger angle = 3x There are now two equations for the larger angle and we can equate them. Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 22. question explanation

Of the students in Kayla's class, have a pet dog. Of the students who have a dog, also have a cat.
What fraction of the students in Kayla's class have both a cat and a dog?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 23 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 23 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 23 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 23 question 4 Answer

To minimize the words in the analysis, use "A" to represent the number of students in Kayla's class. Also, remember that in word problems, of means multiplication. Number of students with dogs = Number of students with cats = Number of students with cats and dogs = of students in Kayla's class

What is the probability that your birthday would randomly match the month and day of a stranger's birth date?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 24 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 24 question 2 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 24 question 3 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 24 question 4 Answer

There probability of an event happening is defined in math as: The probability that your birthday matches a stranger's birthday is:

For a right triangle, one angle is Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question.
What are the other two angles?

Mathematical Reasoning lesson Math practice quiz 1 exam questions 25 question 1 Answer

Mathematical Reasoning lesson Math practice quiz 1 exam questions 25 question 2 Answer

not enough information

Mathematical Reasoning lesson Math practice quiz 1 exam questions 25 question 4 Answer

A right triangle has one angle measuring Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation. The sum of all angles in any triangle is Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation. Hence, Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation Therefore, in addition to the Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation angle, the triangle will have angles of: Mathematical Reasoning lesson Math practice quiz 1 exam questions 25. question explanation