Ged Math pre Test 9 - online test

A woman spends 5% of her income on groceries. The next year she will spend 6%, and the following year 7%.
If her annual income is $70,000, how much does she spend on groceries during these 3 years?

$12,600

$13,400

$10,700

$13,600

Which example shows the prime factorization of 30?

2×3×5

2×2×5

3×10

5×6

A rectangular garden patch is protected by a 40-foot-long fence.
What is the area of the garden patch in square feet?

not enough information

100

75

400

Different rectangles can have a 40-foot fence, such as, 5 by 15, 4 by 16.
Thus, different areas are possible: 75 sq ft, 64 sq ft.
The information given is not sufficient to solve for the area.

Which equation runs through point (2,-3) with slope 4?

y=3x–2

y=2x–3

y=4x–11

y=5x–9

Jim is filling his rectangular pig trough full of slop. The trough is 3 ft wide, 8 ft long, and has a depth of 4 ft. One of the piglets jumps in the trough and the slop rises 2.8 inches.
What is the volume of the trough?

268.8ft3

96ft3

460.8ft3

98ft3

Which equation runs through points (1, 6) and (-1, 2)?

y=−2x+8

y=−4x+10

y=2x+4

y=4x+2

A ladder is leaning against an 18 ft building. The bottom of the ladder is 8.5 ft from the building.
Approximately how tall is the ladder?

40 Ft

396 Ft

20 Ft

18 Ft

Where does y = x2 - x - 2 cross the y axis?

(-1,0)

(0,-2)

(2,0)

(1,-2)

Where do lines y = x − 1 and y =−5x + 11 intersect?

(−2,−3)

(−3,−4)

(3,−4)

(2,1)

A cylindrical container is filling up with water. The container is 18 ft tall with a diameter of 4.5 ft.
How much water will fit in the container if it is filled to the brim?

286.13ft3

43.6ft3

355.77ft3

121ft3

Which has more volume: a 10-inch tall can with a diameter of 10 inches, or a 7×10×10-inch box?

both equal

not enough information

can

box

A hexagon is made of six equilateral triangles. Each triangle area is 18 sq ft.
Which value in feet most closely estimates the perimeter of such a hexagon?

36 ft.

18 ft.

24 ft.

54 ft.

Which is bigger: the cube root of 54 or the square root of 18?

Square root of 18

Cube root of 54

Both equal

Not enough information

If 1 inch on a map is 40 miles, what area must be searched in a 2.
5 × 3 inch grid?

12,000mi-2

300mi-2

1,200mi-2

3,000mi-2

What is −|5−12| ?

-7

17

7

-17

What is the least common multiple of the numbers 9, 12 and 16?

36

96

108

144

The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, …
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, …
The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, …
The least common multiple of 9, 12 and 16 is 144.

TIP: For a multiple choice test, you might just check which of the answers are multiples of the three numbers. 96 is not divisible by 9, 36 is not divisible by 16, and 108 is not divisible by 16. 144 is the only common multiple in the answer choices.

Simplify: a(3+5a)−4(a2+5)

a2+3a−20

9a2+3a+20

a2+3a+20

a2−3a+20