GED Math Practice Test

GED Math Practice Test 2019 with Free 50 Questions. You can also download Worksheet for better prep. We also uploaded free printable PDF for GED Math Study guide. This material is not endorsed or approved by ACE or GED Testing Service. Our free online GED Math test is designed for better GED exam preparation. Download free PDF without any registration.

GED Math Practice Test 2019

Answer all the multiple-choice questions in this section.

1.) If a = 3, the value of a2– 2  is

• (A) 7
• (B) -7
• (C) 9
• (D) -9
Show Answers & Solution

Explanation: Substituting the value of a as 3 in  a2– 2 so  32– 2 = 9 – 2 =7

2.) A line 3y = 2x + 6 is shown below. The y intercept of the line is:

• (A) 2/3
• (B) -2/3
• (C) 2
• (D) -2
Show Answers & Solution

Explanation: This point will always have an x coordinate of zero. In the equation 3y = 2x + 6 , the y -intercept is the solution to the equation when x = 0. Substituting the value of x as 3 in 3y = 2x + 6, 3.) Which ordered pair represents ƒ (3) = –5?

• (A) (–5, 3)
• (B) (–3, 5)
• (C) (3, –5)
• (D) (5, –3)
Show Answers & Solution

Answer: C. (3, –5)
Explanation: In general, f ( x ) = y Compare: f ( 3 ) = –5 We can say that x = 3 and y = –5, Recall ordered pair is  written as (x, y) Thus,(3, –5).

4. Which of the following lines has a zero gradient? Show Answers & Solution 5.) The domain of the graph shown below is • (A) {y = 2, y ∈ R}
• (B) {x = 2, x ∈ R }
• (C) {x ≥ 2, x ∈ R}
• (D) {x ≤ 2, x ∈ R }
Show Answers & Solution

Answer: (B) {x = 2, x ∈ R }
Explanation: Domain represents the x values. In this case, x is only at the value 2, Thus {x = 2, x∈R }

6.) What is the value of x in the equation: 3x – 5 = 10?

• (A) 2
• (B) 3
• (C) 4
• (D) 5
Show Answers & Solution

Explanation: Solve for the x value:
3x – 5 = 10
3x – 5 + 5 = 10 + 5
3x = 15
3𝑥/3= 15/3
x=5

7.) The values of x that make the equation x² – 4 = 0 true, are

• (A) {–2, 2}
• (B) {–2, 0}
• (C) {0, 2}
• (D) {– 4, 4}
Show Answers & Solution

Explanation: Solve for the x value:
x² – 4 = 0
x² – 4 + 4 = 0 + 4
x² = 4
√x² = ±√4
x = – 2 ,+2

8.) √9x² is equal to

• (A) 6x²
• (B) 9x
• (C) 3x²
• (D) 3x
Show Answers & Solution

Explanation: Use law of Surds
√ab=√a × √b
Simplify √9x²
√9x²=√9 √x²
=3x

9. When simplified, the expression (2x – 3) – (x – 4) is

• (A) x-7
• (B) x+1
• (C) x²+7
• (D) x²-1

Explanation [/su_spoiler]

10.) 3x0 can be simplified to

• (A) 0
• (B) 1
• (C) 2
• (D) 3
Show Answers & Solution

Explanation: Index law: anything raise to power zero except zero is one 3x0
= 3 (1)
= 3 × 1
= 3

11.) The value of (4²)³ in base – index form is equal to

• (A) 42
• (B) 44
• (C) 46
• (D) 48
Show Answers & Solution
Answer:(C) 46 Explanation: Index law: when a power is raise to another power, multiply the two powers
(4²)³ =42×3=4

12.) Which of the following expressions will give the value of the angle marked x in the diagram given below? • (A) sin x =18/17
• (B) cos x =18/17
• (C) sin x =15/17
• (D) cos x =8/15
Show Answers & Solution

13.) In a triangle XYZ, which side is the hypotenuse? • (A) XY
• (B) YZ
• (C) XZ
• (D) ZY
Show Answers & Solution
Explanation: Hypotenuse is the longest length, i.e. directly opposite of 90o. Thus, XZ

14.) A toy suitcase measures 8 cm long and 6 cm high. What is the diagonal length of the suitcase? • (A) 4 cm
• (B) 6 cm
• (C) 8 cm
• (D) 10 cm
Show Answers & Solution
Explanation: Pythagoras Theorem a²+b² = c² Substituting values
6²+8² = c²
c²= 36 + 64
c² = 100
c=10

15. The perpendicular bisectors of the sides of a triangle meet at the point called

• (A) incenter.
• (B) circumcenter.
• (C) orthocenter.
• (D) centroid.
Show Answers & Solution

16.) a× a× a×b×b in base – index form is

• (A) 3a + 2b
• (B) 5ab
• (C) 3ab²
• (D) a³b²
Show Answers & Solution
Answer (D) Index law: in multiplication, if bases are same, add the powers
a× a× a×b×b
a¹× a¹× a¹×b¹×b¹
a1+1+1×b1+1
a³b²

17.) The expression 2 -2 can be simplified to

• (A) 4
• (B) 1/4
• (C) -(1/4)
• (D) -4
Show Answers & Solution 18.) Which one of the given equations represents the trigonometric graph shown below? • (A) y = sin x
• (B) y = cos x
• (C) y = tan x
• (D) y = – sin x
Show Answers & Solution 19.) The diagram given below shows the two chords intersecting inside the circle. The length represented by x is

• (A) 5
• (B) 6
• (C) 13
• (D) 36
Show Answers & Solution
Solution for x
x ×𝑥=9 ×4
x² =36
x = √36
x = 6 20.) The original price of a pair of shoes was \$32.00. Sita bought it at a discount of 35%. What was the amount of the discount that Sita got for the pair of shoes?

• (A) \$11.20
• (B) \$20.80
• (C) \$18.80
• (D) \$43.20
Show Answers & Solution