GED Math Practice Test 1 | PDF | Area | Interest - Free Printable

Here are the step-by-step solutions for each problem on the practice test.

1. Solve: $(10 - 5) + 4 \times 11$
* Step 1: Follow the order of operations (PEMDAS). First, solve the part inside the parentheses: $(10 - 5) = 5$.
* Step 2: Next, do the multiplication: $4 \times 11 = 44$.
* Step 3: Finally, add the results together: $5 + 44 = 49$.
* Correct Option: B) 49

2. The following set of data is given: 12, 14, 20, 18, 16, 14, 24, 16, 14. Adding which pair of numbers would make the mean higher?
* Step 1: Find the current average (mean). Add all the numbers: $12+14+20+18+16+14+24+16+14 = 148$. There are 9 numbers. $148 \div 9 \approx 16.44$.
* Step 2: To raise the average, you must add numbers that are larger than the current average ($16.44$).
* Step 3: Look at the pairs:
* A) 12 and 14 (Both are lower than 16.44)
* B) 12 and 16 (One is lower, one is about the same)
* C) 18 and 22 (Both are higher than 16.44)
* D) 22 and 24 (Both are much higher than 16.44)
* Step 4: While both C and D would raise the mean, Option D has the largest numbers, which will pull the average up the most significantly. In multiple-choice questions like this, the pair with values furthest above the mean is the intended answer to "make it higher."
* Correct Option: D) 22 and 24

3. Abigail would like to purchase a new Kindle for $\$160$. She has a coupon at Best Buy for 20% off. How much will the Kindle cost if she uses the coupon?
* Step 1: Calculate the discount amount. $20\%$ of $\$160$ is $0.20 \times 160 = \$32$.
* Step 2: Subtract the discount from the original price. $\$160 - \$32 = \$128$.
* Alternative Method: If she gets $20\%$ off, she pays $80\%$ of the price. $0.80 \times 160 = 128$.
* Correct Option: D) $\$128$

4. On the last day camp, Krystal wants to treat her cabin to popsicles. She has 12 girls in her cabin. At the camp store Krystal can buy a pack of 4 popsicles for $\$3.50$. What will it cost her to buy popsicles for her entire cabin?
* Step 1: Determine how many packs she needs. She needs 12 popsicles total, and they come in packs of 4. $12 \div 4 = 3$ packs.
* Step 2: Calculate the total cost. 3 packs $\times$ $\$3.50$ per pack.
* $3 \times 3 = 9$
* $3 \times 0.50 = 1.50$
* $9 + 1.50 = 10.50$
* Correct Option: A) $\$10.50$

5. Solve the inequality: $y - 9 > 18$
* Step 1: Isolate the variable $y$ by adding 9 to both sides of the inequality.
* Step 2: $y > 18 + 9$
* Step 3: $y > 27$
* Correct Option: B) $y > 27$

6. Peter went to the hardware store with $\$10$. He needs to purchase some light plate and outlet covers. Here are the prices: Light plate covers: $\$0.75$, Outlet plate covers: $\$1.25$. He has enough money to purchase which set of items below?
* We need to find the option where the total cost is less than or equal to $\$10$.
* A) $(7 \times 0.75) + (4 \times 1.25) = 5.25 + 5.00 = \$10.25$ (Too expensive)
* B) $(6 \times 0.75) + (6 \times 1.25) = 4.50 + 7.50 = \$12.00$ (Too expensive)
* C) $(6 \times 0.75) + (4 \times 1.25) = 4.50 + 5.00 = \$9.50$ (This fits within the $\$10$ budget)
* D) $(5 \times 0.75) + (6 \times 1.25) = 3.75 + 7.50 = \$11.25$ (Too expensive)
* Correct Option: C) 6 light plate covers and 4 outlet plate covers

7. What is the slope of the line?
* Step 1: Identify two points on the line where it crosses the grid intersections perfectly. Let's pick $(0, 6)$ and $(2, 10)$.
* Step 2: Use the slope formula: $\text{Rise} / \text{Run}$ (Change in $y$ / Change in $x$).
* Step 3: Rise: From $y=6$ to $y=10$ is a change of $+4$.
* Step 4: Run: From $x=0$ to $x=2$ is a change of $+2$.
* Step 5: Slope = $4 / 2 = 2$.
* Correct Option: A) 2

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Final Answer:
1. B
2. D
3. D
4. A
5. B
6. C
7. A