Samui tutor | GED practice

Part 1: No calculator

In the following 5 questions you are not allowed to use a calculator.

Ok, let's go!

Which value is one of the solutions of $4 x^{2} - 36 = 0$ ?

-3

3

-9

36

Write $\frac{136}{32}$ as a mixed number in lowest terms.

$\frac{17}{4}$

4 $\frac{1}{4}$

4 $\frac{8}{32}$

4 $\frac{4}{16}$

Add 13.50 + 17.995 + 6.008. Type your answer in the box: Submit

Which fraction equals to 0.875?

$\frac{87.5}{100}$

$\frac{151}{200}$

$\frac{7}{8}$

$\frac{7}{80}$

Select any pair of points on the graph that show why it is not a graph of a function

Graph of a circle

A and C

G and E

C and G

C and E

Part 2: Calculator based

For the remaining questions you are allowed to use a calculator.

Ok, got it!

If $f (x) = 2 x^{2} + 7 x + 3$ , what is the value of $f (5)$ ?

88

63

138

85

Multiply: $x^{\frac{3}{2}} \times x^{- \frac{3}{2}}$

$x^{\frac{3}{2}}$

$x^{- \frac{3}{2}}$

0

1

Factorize $8 x^{2} + 24 x + 18$

$(4 x + 3)^{2}$

$2 (2 x + 3)^{2}$

$(4 x + 3) (2 x + 6)$

$(2 x - 3) (4 x - 6)$

Divide $\frac{x^{2} - 9 x + 20}{x - 5}$

$\frac{x - 4}{x - 5}$

$\frac{x - 9}{x - 5}$

4

1

A kayaker spends 2 hours paddling up a stream from point A to point B, quickly turns the kayak around, and immediately heads back downstream. It takes her only 1 hour to float back down the stream from point B to point A. If points A and B are 6 miles apart, what was the kayaker's average rate of speed in miles per hour?

12 mph

6 mph

4 mph

2 mph

In the quadrilateral ABCD, side AB is parallel to side CD. Sides AD and BC are not parallel. What is the area of the figure to the nearest square centimeter?

Type your answer in the box: Submit

Jane has taken five tests and has an average of 84. What must she get on the next test to raise her average to 85?

86

87

90

92

Alice and Bob have a bet to see who makes the higher score on their final exam in biology. After the exam they compare papers. Alice’s teacher has written 86% at the top of her paper. Bob’s teacher has written 42/50 on the top of his paper. After Erlene and Bob convert their scores to be on the same scale, it is clear that
Alice Bob
received the heigher score.

What is the average of the following dataset: 0.0012, 0.00067, 0.0023, 0.01, 0.009? Submit

What is the length of a side of a right triangle if the other side measures 12 centimeters and the hypotenuse measures 20 centimeters?

8

16

23.32

32

Gerald uses 4 cups of flour and 1 cup of sugar in his famous cookie recipe. If he needs to make five batches, how much flour and sugar must he have on hand?

4 cups flour, 1 cup sugar

10 cups flour, 2.5 cups sugar

5 cups flour, 20 cups sugar

20 cups flour, 5 cups sugar

Expand $(2 x + 5)^{2}$

$4 x^{2} + 25$

$2 x^{2} + 10 x + 25$

$4 x + 10$

$4 x^{2} + 20 x + 25$

A bowl is filled with 5 red, 6 yellow, and 4 white balls. What is the probability of drawing a red ball and then a white ball at random?

$\frac{9}{21}$

$\frac{9}{29}$

$\frac{2}{21}$

$\frac{1}{3}$

What is the smallest integer that makes $x \geq - 10$ true? Type your answer in the box: Submit

The ratio of the sides of two squares is 1:2. What is the ratio of their areas?

1:1

1:2

4:1

1:4

A line has the equation $3 x - 5 y = 15$ . What is its slope?

$- \frac{5}{3}$

$- \frac{3}{5}$

$\frac{5}{3}$

$\frac{3}{5}$

If the enrollment at a school was 1250 last year and is 1500 this year, what is the percent increase from last year to this year?

20%

17%

9%

15%

Only 9% of the residents in a county live on farms. The population of the county is 127,000 people. How many people do NOT live on farms?

11,430

14,111

114,300

115,570

Only 9% of the residents in a county live on farms. The population of the county is 127,000 people. 17% of the people in the county are above the average age. How many people are above the average age?

74,700

21,590

90,170

105,050

What is the perimeter of a hexagon that is 17 inches on a side?

51 inches

102 inches

112 inches

119 inches

Where does the graph of $y = 6 x^{2} + 5 x - 6$ intersect the y-axis?

$6$

$5$

$- 6$

$- 5$

What is the sum of $2 x + 13$ and $6 x + 3$ ?

$8 x + 16$

$8 x^{2} + 16$

$4 x - 10$

$x + 2$

Which of the following has a larger area?

a circle with a diameter of 30 centimeters

a square that measures 30 centimeters on a side

Evaluate $4^{\frac{5}{2}}$

32

10

512

64

Given a group of 12 women and six men, how many distinct groups of three women and three men can be formed?

120

1320

4400

158,400

What is the area of this triangle?

Type your answer in the box: Submit

Subtract $\frac{2 x - 7}{4 x} - \frac{7 y + 3}{6 y}$

$\frac{9 x y - 4}{24 x y}$

$- \frac{6 x + 8 x y + 21 y}{12 x y}$

$\frac{- 8 x y - 21 y + 6 x}{12 x y}$

$\frac{2 x - 7 y - 10 x y}{24 x y}$

What does $f (x)$ approach as $x$ becomes larger and larger but negative, if $f (x) = x^{3} - 2 x^{2} + 12 x + 5$ ?

$+ \infty$

0

$- \infty$

5

Write $\frac{19}{2000}$ as a decimal.

Type your answer in the box: Submit

Solve for $x$ : $3 x - 11 < 5 x - 7$ .

$x > - 2$

$x < - 2$

$x > 2$

$x < 2$

Divide $\frac{x^{2} y^{4} z^{- 3}}{x y z^{3}}$

$\frac{x^{2} y^{4}}{x y z^{6}}$

$\frac{x}{y^{3} z^{6}}$

$\frac{x y^{3}}{z^{6}}$

$\frac{x y^{3}}{z^{9}}$

Sandi has brewed 55 ounces of iced tea. How many full glasses of tea can be filled if it takes $7 \frac{3}{4}$ ounces of tea to fill each glass?

47

8

7

6

Tony fills his car with gas. His tank holds 14.0 gallons of gas. He pumps 8.37 gallons into the tank. If his car averages 27.6 miles per gallon, how far could he have driven before running out of gas had he not stopped to fill up? Give your answer to the nearest whole mile.

155

386

462

617

Which of the following implicitly defines a linear function?

$x^{2} + y^{2} = 25$

$3 x - 5 y = 35$

$x y = 9$

$y = \frac{1}{x}$

Which function assigns the domain value 12 to the range value 7?

$y = 2 x - 2$

$y = 3 x - 4$

$y = \frac{1}{2} x + 1$

$y = \frac{3}{7} x + 12$

The length of a rectangle is 5 centimeters more than the width. The perimeter of the rectangle is 90 centimeters. What is the length of the rectangle?

15

18

20

25

If a fair coin is tossed four times, what is the probability of getting tails exactly twice?

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{3}{8}$

$\frac{3}{4}$

Find the median of the following dataset:
1, 3, 14, 28, 2, 18, 27, 86, 34, 45, 44, 36, 21, 11, 51, 23, 37, 52, 29, 41, 33, 19, 24, 38, 15, 87.

27.5

28

28.5

29

Andrea must paint an antique sign composed of three spheres, each of which has a diameter of 12 inches. Each can of paint covers 288 square inches. How many cans of paint must Andrea buy to do the job?

4

5

6

7

What is the perimeter of a right triangle whose height is twice its base and whose area is 72.25 square inches?

8.5 inches

17 inches

19 inches

44.5 inches

What is the equation for a line perpendicular to $6 x - 7 y = 8$ and passing through the point $(8, 1)$ ?

$y = - \frac{7}{6} x + \frac{31}{3}$

$y = \frac{6}{7} x - \frac{8}{7}$

$- 6 x + 7 y = - 8$

$y = \frac{7}{6} x - \frac{31}{3}$