Ged Math practice test 5 - online test

When the sum of 1.8912 and 3.
1846 is rounded to the nearest hundredth, the result is:

5.08

5.07

5.1

5.076

First, add the two values together without rounding. 1.8912 + 3.1846 = 5.0758 Next, round to the nearest hundredth, which is two decimal places. Since the 5 digit in the thousandths place indicates that you need to round up, the correct answer is 5.08.

John opened a new bank account and deposited a $215 check. Then he made a few withdraws of $40, $20, and $75 before he deposited one more check for $185.
How much is now in John’s bank account?

$109

$400

$128

$265

To find how much is in John’s account now, begin with the original deposit. Withdraws are represented by negative integers and deposits are represented by positive integers. Add together all the amounts withdrawn and deposited.
215 + (−40) + (−75) + (−20) + 185
= 400 + (−135) = 265
Therefore, John has $265 in his account.

The rectangular dining room table is 3.5 feet wide by 8 feet long.
What is the perimeter of the table?

23 feet

28 feet

76.5 feet

36 feet

The perimeter of the table is the distance around it. Thus, the perimeter equals 3.5 feet + 8 feet + 3.5 feet + 8 feet, or 23 feet.

On every sale she makes, Maria earns a commission. On a computer that she sells for $591, Maria earns a $43 commission. Find the percent commission, rounded to the nearest tenth of a percent.

7.3%

5.28%

7%

5%

Let p represent the commission percentage. Then we can translate the problem statement into words and symbols.
Commission is what percent of sales price
43=591p
To isolate an unknown value p, divide both sides by 591. Carry the division to four decimal places.
Mathematical Reasoning lesson Math practice test 5 exam questions 5. question explanation
Mathematical Reasoning lesson Math practice test 5 exam questions 5. question explanation
Because the test digit is greater than or equal to 5, add 1 to the rounding digit, then truncate. Thus, correct to the nearest tenth of a percent, Mathematical Reasoning lesson Math practice test 5 exam questions 5. question explanation

What is the product of 1.5 and 2.25?

3.75

3.375

37.5

3.37

Remove the decimals and multiply the numbers together. 15 × 225 = 3,375 When multiplying decimals together, add the total number of decimal places in both numbers and put the total number of decimal places in the answer. In this case, there is one decimal place in 1.5 and two decimal places in 2.25 for a total of 3 decimal places. Add these to 3,375 to get 3.375.

In his will, Mr. Adams left 30% of his estate to his wife and evenly divided the balance between his son and his daughter.
If the son received $36,000 as his share, what was the total value of the estate?

$98,522

$84,109

$112,986

$102,857

Mrs. Adams received 30% of the estate, and the two children each received one-half of the remainder, or 35% each. Because their shares were the same, we know that both the son and the daughter received $36,000. To find the total amount of the estate, we can set up an equation: (36,000) + (36,000) + .30x = x x - .30x = 72,000 .70x = 72,000 x = ~$102, 857

Diver number one dives down 25 feet below sea level. Diver number two then goes down five (5) times further than diver number one.
What is the final depth of diver number two?

30 feet below sea

100 feet below sea

125 feet below sea

50 feet below sea

The initial depth of the first diver is 25 feet below sea level, or −25. To find the final depth of the second diver, multiply the depth of the first diver by 5.
−25(5) = −125
The second diver’s final depth is −125 feet, or, 125 feet below sea level.

John’s bank is overdrawn. After he makes a $120 deposit, John sees that his account still is overdrawn by $75.
So what was John's balance before making his deposit?

the original balance was overdrawn by $205

the original balance was overdrawn by $195

the original balance was overdrawn by $250

the original balance was overdrawn by $155

Translate the words into an equation. Let B represent the original balance.
Original Balance+ John Deposit=Current Balance
B + $120 = −$75
To isolate un unknown value B, subtract 120 from both sides.
B+120-120=-75-120
Simplify both sides.
B=-195
Answer the Question. The original balance was overdrawn to the tune of $195.

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

9xy = 1

9y +1 = x

x - 9 = y

y = 9x - 1

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 stationary store sells staplers for $1.50 each. A company buys an unknown number of these staplers at a cost of $36.00 in total.
How many staplers did the company purchase?

38

24

21

42

Let N represent the number of staplers purchased.
Set Up an Equation.
1.50N = 36.00
To isolate an unknown value N, divide both sides of the equation by 1.50.
Mathematical Reasoning lesson Math practice test 5 exam questions 11. question explanation
The business purchased 24 staplers.

Translate the phrase into a mathematical expression: “the speed y decreased by 33”

33y

y+33

y-33

Mathematical Reasoning lesson Math practice test 5 exam questions 11 question 4 Answer

To decrease a quantity is by 33, we must subtract 33. Therefore, in terms of the variable y, the corresponding mathematical expression is y − 33.

In the number 3,456, which place is the "4" in?

Tens

Ones

Hundreds

Thousands

From right to left, the place holders are ones, tens, hundreds, thousands. In this case, the 4 is the third from the right, so it is in the hundreds place.

The diameter of one bicycle tire is 32 inches, and its spokes run from the hub (or center) to the edge of the rim. The diameter of another bicycle wheel is 24 inches.
What is the difference in inches between the length of the spokes of the two wheels?

12

4

8

6

The spoke is equivalent to the radius. which is the diameter divided by 2.
Therefore, the spoke for the 32-inch wheel is 16 inches.
The spoke for the 24-inch wheel is 12 inches.
16 - 12 = 4-inch difference between the two spokes.

Round the number 2,358 to the nearest ten.

2,358

2,300

2,000

2,360

Because the test digit is greater than or equal to five, add one to the rounding digit, then make each digit to the right of the rounding digit a zero. Thus, Mathematical Reasoning lesson Math practice test 5 exam questions 15. question explanation.

A group of friends signed up for a fitness challenge. During the initial weigh-in, the following weights were recorded: 140 pounds, 176 pounds, 202 pounds, 162 pounds, and x.
What would the value of x equal if the average weight was 180 pounds?

220 pounds

160 pounds

185 pounds

235 pounds

The average weight is found by dividing the totals of all of the weights by the total number of weights. Set up an equation to find the missing weight. (140 + 176 + 202 + 162 + x) ÷ 5 = 180 (680 + x) ÷ 5 = 180 680 + x = 900 x = 900 - 680 x = 220 pounds

Of the 1,092 acres that are owned by the Smith family, the youngest daughter owns 196.56 acres.
What percentage of the total acreage does the youngest daughter own?

12%

22%

26%

18%

In order to solve the problem, divide the youngest daughter’s acreage by the total and then express the result as a percentage. 196.56 ÷ 1,092 = 0.18, or 18%

The number −6 is 2 more than an unknown number. Find the unknown number.

-8

8

-6

6

Translate the words into an equation. Let x represent the unknown number.
-6 is 2 more than an unknown number
-6 = 2 + x
To isolate x, subtract 2 from both sides.
- 6 - 2 = x
Simplify both sides.
-8 = x
The unknown number is -8.

Solve the equation: 4x - 5 = 15

x = 5

x = 4

x = 6

x = 2

Solve the equation 4x - 5 = 15 Add 5 on both sides of the equation. 4x - 5 + 5 = 15 + 5 4x = 20 x = 5

Mathematical Reasoning lesson Math practice test 5 exam questions 19 questionFind the volume of a 15-inch hollow cylinder if its circular cross-section is as shown in the figure.

Mathematical Reasoning lesson Math practice test 5 exam questions 19 question 1 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 19 question 2 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 19 question 3 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 19 question 4 Answer

Compute for the volume of a cylinder using the formula V = Area of base u00D7 h. The distances given are diameters, so find the radii by dividing by two. Big radius: r=3.5 u00F7 2 = 1.75.
Small radius: r = 2 u00F7 2 = 1. The green area (the base) can be computed by subtracting the area of the small circle from the area of the big circle. Big area, Mathematical Reasoning lesson Math practice test 5 exam questions 20. question explanation.
Small area, Mathematical Reasoning lesson Math practice test 5 exam questions 20. question explanation. Solving for the green area, A = 3.06π - 1π = 2.06π. Solving for the volume of the cylinder, V = 2.06π u00D7 15 Mathematical Reasoning lesson Math practice test 5 exam questions 20. question explanation

Mathematical Reasoning lesson Math practice test 5 exam questions 20 questionWhich of the following equations define the line graph shown?

y = 3x-5

2y=-3x+19

Mathematical Reasoning lesson Math practice test 5 exam questions 20 question 3 Answer

2y = 3x + 4

Solve for the slope using the formula

or

Use and .

Determine the equation of the line using the general format of , where b is the value of y when x is zero.
Solve for b by plugging in either point. Let's plug in (3, 5):





Plugging all known values into the general equation of a line, you get:

This isn't an option, but if you clear the fractions by multiplying both sides of the equation by 2, you'll get:
2y=-3x+19
If you're not familiar with linear equations and how they are graphed, or don't have the time to do the computations, you may still get the correct answer by eliminating unlikely answers. Eliminate all choices with variables in the second degree (or higher) because linear equations are first-degree equations, meaning variables are raised to the first power only. Lines that slant upwards from left to right have positive slopes, while lines that take a downward slant from left to right have negative slopes. This line obviously has a negative slope. Eliminate all answer choices with a positive slope. If you know these basic things about a line and its graph, you may actually solve this type of question by simply inspecting the graph and the given answer choices.

Mathematical Reasoning lesson Math practice test 5 exam questions 21 questionThe graph shows the population of students in first grade for four consecutive years.
In what year is the number of girls nearly double the number of boys?

2012

2011

2014

2013

From the legend, you will see that the orange line represents the number of girls, while the blue line represents the number of the boys. Numbers are reflected on the vertical axis, but even without looking at those numbers, it is plain to see that the biggest gap occurred in 2013, where the orange line went significantly higher than the blue line. Checking the numbers, there were 34 boys compared to 60 girls in 2013-the number of girls was nearly twice the number of boys. In 2011, the reverse was the case when there were twice as many boys as girls.

Mathematical Reasoning lesson Math practice test 5 exam questions 22 questionOn the given number line, what is the value of A?

Mathematical Reasoning lesson Math practice test 5 exam questions 22 question 1 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 22 question 2 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 22 question 3 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 22 question 4 Answer

It is easy to see from the figure that point A is more than 1 but less than 2, so the correct answer must be 1 plus a fraction. The point is located on the third of 4 equally spaced marks, or Mathematical Reasoning lesson Math practice test 5 exam questions 23. question explanation, if presented as a fraction. Point A, therefore, has the value of Mathematical Reasoning lesson Math practice test 5 exam questions 23. question explanation.

Mathematical Reasoning lesson Math practice test 5 exam questions 23 questionWhich of the choices is represented by the given graph?

Mathematical Reasoning lesson Math practice test 5 exam questions 23 question 1 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 23 question 2 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 23 question 3 Answer

Mathematical Reasoning lesson Math practice test 5 exam questions 23 question 4 Answer

The shaded area simply means that y is less than or equal to a certain expression of x, which is defined by the equation of the line with two identified points in the graph. First, let's determine the slope of the line. The slope, . Next, solve for b, the value of y when x=0. We can do this using the formula and computed value for slope
and the points (0, b) and (8, 3).

Finally, we plug these values into the equation of the line following the format, y=mx+b

This is the equation of the line. However, the shaded area shows the inequality or values of y which lie on or below (equal or less than) the defined line. Thus, the linear inequality is correctly represented by TIP: Save time by realizing the shaded part is below the line, clearly indicating a "less than" inequality. There are two options, but one isn't in slope-intercept form. Once you turn it into this form, it is no longer a "less than" inequality.