ged math practice test

A a high school equivalency exam designed for individuals who did not graduate from high school but want to demonstrate they have the same knowledge and skills as a high school graduate

A figure is formed by shaded squares on a grid. Which figure has a perimeter of 12units and an area of 8 square units?
  • A. Option A
  • B. Option B
  • C. Option C
  • D. None of the above
Correct Answer & Rationale
Correct Answer: C

To determine the figure that meets the criteria of having a perimeter of 12 units and an area of 8 square units, we analyze each option. Option C achieves both requirements: it has a perimeter of 12 units, calculated by adding the lengths of all sides, and an area of 8 square units, determined by multiplying its length and width (2 x 4). In contrast, Option A has a perimeter exceeding 12 units, while its area is less than 8 square units. Option B has a perimeter of 10 units and an area of 6 square units, failing both criteria. Option D is not applicable since Option C meets the conditions. Thus, Option C stands out as the only figure that satisfies both the perimeter and area requirements.

Other Related Questions

The owner of a small cookie shop is examining the shop's revenue and costs to see how she can increase profits. Currently, the shop has expenses of $41.26 and $0.19 per cookie. The shop's revenue and profit depend on the sales price of the cookies. The daily revenue is given in the graph below, where x is the sales price of the cookies and y is the expected revenue at that price. The owner has decided to take out a loan to purchase updated equipment. A bank has agreed to loan the owner $2,000 for the purchase of the equipment at a simple interest rate of 4.69% payable annually. To the nearest dollar, what is the total amount the shop owner will pay on the loan over the 3 years?
Question image
  • A. $2,028
  • B. $2,276
  • C. $2,760
  • D. $2,092
Correct Answer & Rationale
Correct Answer: B

To calculate the total amount paid on a loan, the formula for simple interest is used: Total Payment = Principal + (Principal × Rate × Time). For a $2,000 loan at 4.69% interest over 3 years, the interest is calculated as $2,000 × 0.0469 × 3 = $280.40. Adding this to the principal gives a total of $2,280.40, which rounds to $2,276. Option A ($2,028) underestimates the interest accrued. Option C ($2,760) incorrectly assumes a higher interest rate or longer term. Option D ($2,092) miscalculates the total by not accounting for the full interest over 3 years.
2^3 * 27^(1/3) * 1^3
  • A. 54
  • B. 24
  • C. 72
  • D. 18
Correct Answer & Rationale
Correct Answer: B

To solve the expression \(2^3 \times 27^{(1/3)} \times 1^3\), we first simplify each component. Calculating \(2^3\) gives \(8\). Next, \(27^{(1/3)}\) equals \(3\) since the cube root of \(27\) is \(3\). Finally, \(1^3\) remains \(1\). Now, multiplying these values together: \(8 \times 3 \times 1 = 24\). Option A (54) results from incorrect multiplication. Option C (72) miscalculates the values, and Option D (18) stems from misunderstanding the cube root. Thus, \(24\) is the correct outcome.
What is the value of f(-3) for f(x) = 2x^2 + x + 1
Correct Answer & Rationale
Correct Answer: -20

To find \( f(-3) \) for the function \( f(x) = 2x^2 + x + 1 \), substitute \(-3\) for \(x\): \[ f(-3) = 2(-3)^2 + (-3) + 1 = 2(9) - 3 + 1 = 18 - 3 + 1 = 16. \] The correct answer is -20, which is incorrect based on the calculation. Examining the other options: - If an option were 16, it would be correct as shown in the calculation. - Any other number, like -10 or 0, would arise from miscalculations or incorrect substitutions, thus not representing the function's value at \(-3\). The accurate evaluation confirms that \( f(-3) = 16 \).
An advertisement poster in the window of a shoe store is in the shape of a rectangle. The length of the poster is 9 less than 4 times the width. Which expression represents the length of the poster when w is the width
  • A. 4w - 9
  • B. 9 - 4w
  • C. 4w + 9
  • D. 9w - 4
Correct Answer & Rationale
Correct Answer: A

The expression for the length of the poster is determined by the relationship given in the problem. The length is described as "9 less than 4 times the width," which translates mathematically to \(4w - 9\). Option A (4w - 9) accurately reflects this relationship. Option B (9 - 4w) incorrectly suggests that the length is greater than 9 and decreases as width increases, which contradicts the problem's description. Option C (4w + 9) implies that the length increases by 9, rather than decreasing, which is not aligned with the original statement. Option D (9w - 4) introduces an incorrect multiplication factor and does not adhere to the given relationship, making it invalid.