GED Math Practice Test 2023

Danny earned a total of 40($6.30) = $252. To find the number of hours Erica would take to earn $252, divide $252 by $8.40.

Since m∠ACB = 90° and m∠CAD = 40°, then m∠B = 180 − 90 − 40 = 50°. In BCD, m∠CDB = 90° and m∠B = 50°. Therefore,m∠DCB = 180 − 90 − 50 = 40.

If the class has x students and 5 students are absent, then x − 5 students are present: \frac{x - 5}{5}

If the tank is 1/3 full, it is 2/3 empty. Let x = the capacity of the tank; (2/3) x = 16, so x = 16 ÷ 2/3 =16 × 3/2= 24.

Let x = the length of the ramp. Use the Pythagorean theorem to obtain the equation: x² = 12² + 16² = 144 + 256 = 400
x = √400 = 20

48 half-pints = 24 pints. Since 8 pt. = 1 gal., 24 pt. = 3 gal., 3($3.50) = $10.50.

If x is replaced by the answer choices, only 2 and −3 make the expression true.

To find the perimeter of the figure, find the sum of the lengths of its sides. 2a + a + b + 2a + b + a + 2b = 6a + 4b

Let x = the width of the room; 23x = 322; x = 322 ÷ 23 = 14. Perimeter = 23 + 14 + 23 + 14 = 74 feet.

The perimeter of the figure is x + 2y + 3x − y + 2x + 3y + 5x + y = 11x + 5y.

Set up an equation with Oliver’s money as the unknown, and solve. Oliver = x, Henry = 5 + x, and Murray = 5 + x. Therefore,
x + 2(5 + x) = 85
x + 10 + 2x = 85
3x + 10 = 85
3x = 75
x = 25

$5,800 − $4,500 = $1,300. Tax is $100 + 5% of $1,300 = 100 + 0.05(1,300) = 100 + 65 = $165. [/su_spoiler]

You cannot compute the cost unless you are told the number of days that the couple stays at the bed and breakfast. This information is not given.

m∠CBD = 125
m∠ABC = 180 − 125 = 55
m∠A + m∠ABC = 90
m∠A + 55 = 90
m∠A = 90 − 55 = 35

Let n = number. Then n² = square of a number, and n² + n + 4 = 60.

Meat department sales = $2,500
Dairy department sales = $1,500
Difference = $1,000

Because the coupon has double value, the reduction is 2(.15) = 30 cents. The cost of the cereal is x − 30 cents.

Let x, 2x, and 3x be the measures of the three angles. Then:
x + 2x + 3x = 180
6x = 180
x = 180 ÷ 6 = 30
3x = 3(30) = 90

Let x = m∠3 and 2x = m∠2 m∠1 + m∠2 + m∠3 = 180
36 + 2x + x = 180
3x + 36 = 180
3x = 180 − 36 = 144
x = 144 ÷ 3 = 48 degrees

The beef costs 4($2.76) = $11.04. The chicken costs $13.98 − $11.04 = $2.94. To find the cost per pound of chicken, divide $2.94 by 3 (1/2) or by 7/2, 2.94 ÷ 7/2 = 2.94 × 7/2 = 0.84.

Forty percent of the total expenses of $240,000 went for labor: 0.40($240,000) = $96,000.

To express a number in scientific notation, express it as the product of a number between 1 and 10 and a power of 10. In this case, the number between 1 and 10 is 6.315. In going from 6.315 to 63,150,000,000, you move the decimal point 10 places to the right. Each such move represents multiplication by 10¹⁰ and 63,150,000,000 = 6.315 × 10¹⁰

1 km = 1,000 m and 1 m = 100 cm. So 1 km = 100,000 cm and 1 km = 1,000,000 mm.

Let x = DC. Since ΔABE is similar to ΔCED, the lengths of their corresponding sides are in proportion. (x/60 = 80/48) => 48x = 80(60) = 4,800 => x = 4,800 ÷ 48 = 100 =100 feet is the answer.

Add the amounts given: 11 + 6 + 5 + 40 + 30 = $92. $100 − $92 leaves $8 for profit.

Let x = number of points scored by Josh, x + 7 = number of points scored by Nick, and x − 2 = number of points scored by Paul.
x + x + 7 + x − 2 = 38
3x + 5 = 38
3x = 33
x = 11

Use the formula V = lwh. In this case, l = 5, w = 5, and h = h. Therefore, V = 5 × 5 × h = 25h and 25h = 200.

Since 32 = 9 and 4² = 16, √12 is between 3 and 4. Only point D lies between 3 and 4.

Divide the floor space into two rectangles by drawing a line segment. The area of the large rectangle = 20 × 15 = 300 sq. ft. The area of the small rectangle = 10 × 15 = 150 sq. ft. The total area of floor space = 150 + 300 = 450 sq. ft. Since 9 sq. ft. = 1 sq. yd., 450 sq. ft. ÷ 9 = 50 sq. yd.