GED Math Preparation Quiz

Answer explanation

Combine like terms by adding the coefficients of x: 2x + x = 3x. Then, combine the constants: -3 + 4 = 1. Therefore, the simplified expression is 3x + 1.

Tags

CCSS.7.EE.A.1

Answer explanation

To solve the equation, add 5 to both sides to isolate x: 3x = 21. Then divide by 3 to find x = 7, which is the correct answer.

Tags

CCSS.7.EE.B.4A

Answer explanation

The correct roots of the quadratic equation are x = -1 and x = 5 after factoring the equation x^2 - 4x - 5 = 0.

Tags

CCSS.HSA-REI.B.4B

Which of the following is a rational number?

Answer explanation

The rational number is a number that can be expressed as a fraction. Among the choices, only \(\frac{5}{2}\) is a rational number because it can be written as a fraction.

• 5 units

• 10 units

• 15 units

• 3 units

Answer explanation

Let the width be x. Then, the length is 2x + 5. Given A = lw = 75, substituting in the values, we get x(2x + 5) = 75. Solving for x gives x = 5 units.

What is the median of the following set of numbers: 3, 7, 9, 13, 14?

• 7

• 9

• 11

• 13

Answer explanation

The median is the middle number when the numbers are arranged in ascending order. In this set, when arranged in ascending order, the middle number is 9, making it the median.

Answer explanation

To simplify the expression, combine like terms: (3x^2 - 2x + 1) - (2x^2 - 3x - 4) = 3x^2 - 2x + 1 - 2x^2 + 3x + 4 = x^2 + x + 5

Tags

CCSS.HSA.APR.A.1

Answer explanation

To solve the equation, first subtract 3 from both sides to isolate x. This gives 1/2x = 4. Then, multiply both sides by 2 to get x = 8, which is the correct answer.

Tags

CCSS.7.EE.B.4A

Answer explanation

The correct quadratic equation is x^2 + x - 6 = 0 because it has roots at x = -3 and x = 2.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Answer explanation

To simplify the fraction 45/60, divide both the numerator and denominator by their greatest common factor, which is 15. This simplifies to 3/4.