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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Word Problems In Algebra

Joseph can spend up to $\$50$ on video games this month. If each video game costs $\$12$ , which of the following represents the conditions of Joseph's purchase?

Possible Answers:

$g+12\leq50$

12g<50

12g=50

$12g\leq50$

Correct answer:

$12g\leq50$

Explanation:

Because the question states that Joseph can spend up to $\$50$ , we know that we will be using a less than or equal to sign. We cannot use an equal sign because that means Joseph will be spending exactly $\$50$ .

Since each video game costs $\$12$ , that means if Joseph buys number of games, he will spend 12g .

Thus, the conditions of his purchase can be illustrated by $12g\leq 50$ .

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Example Question #22 : Word Problems In Algebra

A computer that is on sale for $23\%$ off costs $\$159.33$ . What was the original price of the computer?

Possible Answers:

$\$206.92$

$\$196.33$

$\$128.34$

$\$257.90$

Correct answer:

$\$206.92$

Explanation:

Let be the original cost of the computer.

Since we have taken $23\%$ off, 0.23x can represent the amount that is taken off.

We can then write the following equation:

x-0.23x=159.33

Now solve for .

0.77x=159.33

x=206.92

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Example Question #21 : Word Problems In Algebra

The fare for a taxi meter is calculated as follows: Each fare will have an initial $\$2.25$ charge to pick someone up. Then, $\$$1.50$ is added for each mile driven. Which of the following expressions illustrates the taxi fare if an individual took a trip miles long?

Possible Answers:

1.50m

2.25m+1.50

1.50m+2.25

2.25m

Correct answer:

1.50m+2.25

Explanation:

First, calculate the cost for the miles driven. Since the rider will be charged $\$1.50$ for every mile driven, we can write the expression 1.50m to illustrate the total mileage cost.

Next, since the problem states that $\$2.25$ will be a one-time charge on the fare, we can then write the following expression to illustrate the total cost of a taxi ride of miles: 1.50m+2.25

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Example Question #711 : Ged Math

Sixty-four coins, all dimes and quarters, total $8.95. How many quarters are there?

Possible Answers:

Correct answer:

Explanation:

Let be the number of quarters. Then there are 64-x dimes.

An equation can be set up and solved for for the amount of money in dollars:

0.25x + 0.10(64-x) = 8.95

$0.25x + 0.10\cdot 64- 0.10\cdot x = 8.95$

0.25x + 6.40 - 0.10 x = 8.95

0.15x + 6.40 = 8.95

0.15x + 6.40 - 6.40 = 8.95 - 6.40

0.15x = 2.55

$0.15x \div 0.15 = 2.55 \div 0.15$

x = 17

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Example Question #23 : Word Problems In Algebra

Ten less than three times a number squared is 182. What is the number?

Possible Answers:

Correct answer:

Explanation:

Translate the words into a mathematical equation. "Three times a number squared" can be written as 3x^2 . "Less " is telling you to subtract from 3x^2 .

We can then write the following equation, then solve for .

3x^2-10=182

3x^2=192

x^2=64

x=8

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Example Question #24 : Word Problems In Algebra

After a $18\%$ discount, a pair of shoes costs $\$64.58$ . What was the original price of the shoes?

Possible Answers:

$\$83.66$

$\$91.27$

$\$66.09$

$\$78.76$

Correct answer:

$\$78.76$

Explanation:

Let be the original price of the shoes. Since the shoes were $18\%$ off, we can write the following equation:

x-0.18x=64.58

Now, solve for .

0.72x=64.58

x=78.76

The shoes originally cost $\$78.76$ .

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Example Question #22 : Word Problems In Algebra

Joseph is responsible for planning his company's holiday party. He has been given a budget of $\$4550$ for renting a venue and providing dinner for all the attendees. The cost for renting a venue is $\$1050$ . He expects employees to show up to the party. Which inequality shows how to find the amount, , that Joseph can spend on dinner for each person?

Possible Answers:

$47d+1050\leq4550$

$47+1050d\leq4550$

$47+1050d\geq4550$

47d+1050<4550

Correct answer:

$47d+1050\leq4550$

Explanation:

Since Joseph has a budget of $\$4550$ , that means he cannot spend above that amount. This translates to the use of the less than or equal sign, $\leq$ , in the inequality.

The total cost for the dinner for all the attendees can be found by multiplying the number of attendees by the cost of each dinner, .

The rental of the venue is a one-time payment.

Thus, we can write the following inequality:

$47d+1050\leq4550$

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Example Question #31 : Word Problems In Algebra

A delivery service charges a $\$5$ delivery flat fee then an additional $\$0.55$ for each ounce the package weighs. Which of the following expressions would give the total cost for the delivery of an item weighing ounces?

Possible Answers:

0.55z+5

0.55z-5

0.55z

5z+0.55

Correct answer:

0.55z+5

Explanation:

Since the company charges $\$0.55$ per ounce, an item weighing ounces would then cost 0.55z to ship, based on weight alone. The question also states that there is a flat $\$5$ fee for each delivery.

Thus we can write the following expression to represent the total cost of shipping:

0.55z+5

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Example Question #161 : Single Variable Algebra

A sweater originally priced at dollars goes on sale for $20\%$ off. After a week, the sweater's price is further reduced $15\%$ , and then it was sold. Which of the following expressions would be the price of the price the sweater sold for?

Possible Answers:

0.65d

0.55d

0.68d

0.75d

Correct answer:

0.68d

Explanation:

Start by finding the price of the sweater after the first price cut. Since it was $20\%$ off, we can write the following:

d-0.2d=0.8d

The sweater cost 0.8d after the first price cut.

Then, find the price when after the second price cut, which was $15\%$ the already discounted price.

0.8d-0.15(0.8)d=0.68d

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Example Question #32 : Word Problems In Algebra

An ambulance service charges $\$1250$ for the initial call, then $\$40$ per mile it takes to get to the hospital. Which of the following expressions represents the cost of taking an ambulance miles to the hospital?

Possible Answers:

40m+1250

1250+m

1250m+40

40m

Correct answer:

40m+1250

Explanation:

Start by finding out how much it will take to take the ambulance miles. Since it costs $\$40$ per mile, then 40m represents the cost of just the travel. Next, you need to include the fixed cost of $\$1250$ .

Thus, the total cost of the ambulance trip is expressed with 40m+1250 .

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #21 : Word Problems In Algebra

Example Question #22 : Word Problems In Algebra

Example Question #21 : Word Problems In Algebra

Example Question #711 : Ged Math

Example Question #23 : Word Problems In Algebra

Example Question #24 : Word Problems In Algebra

Example Question #22 : Word Problems In Algebra

Example Question #31 : Word Problems In Algebra

Example Question #161 : Single Variable Algebra

Example Question #32 : Word Problems In Algebra

All GED Math Resources

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