Radicals and Inequalities: Simplifying & Like Terms Quiz

1. Simplify the radical expression: √50 + √18. What is the simplified form?

• 8√2

• 6√2

• 10√2

• 4√2

2. If 3x + 5x - 2 = 20, what is the value of x?

• 4.0

• 3.5

• 2.75

• 1.5

3. A rectangle has a length of 2√3 meters and a width of √12 meters. What is the area of the rectangle in square meters?

• 12 square meters

• 6 square meters

• 8 square meters

• 10 square meters

4. Create an inequality from the statement: 'The sum of a number x and 7 is less than 15.' What is the inequality?

• x - 7 < 15

• 7x < 15

• x + 7 < 15

• x + 7 > 15

5. Simplify the expression: 4√2 + 3√2 - √2. What is the final result?

• 7√2

• 4√2

• 5√2

• 6√2

6. If 2√x = 10, what is the value of x after rearranging the formula?

• 5

• 50

• 10

• 25

7. Identify the like terms in the expression: 5a + 3b - 2a + 4b. What are the like terms?

• 5a, 3a

• 2b, 4a

• -2b, 3a

• 5a, -2a and 3b, 4b

8. A car travels at a speed of 60√2 km/h. How far will it travel in 2 hours?

• 150√2 km

• 120 km

• 100 km

• 120√2 km

9. Rearrange the formula A = πr² to solve for r. What is the rearranged formula?

• r = πA

• r = A/π

• r = √(A/π)

• r = A/2π

10. If 5√x + 3 = 18, what is the value of x after simplifying the equation?

• 25

• 4

• 9

• 16