ASSESSMENT (week -1b - Solving Quadratic Equations)
Write the letter of the best answer on a separate sheet.
1. What is the square root of 81.
A. ± 8
B. ± 16
C. ± 9
D. ± 7
2. What is a practical way to solve 𝑥² – 25 = 0.
A. factoring
C. completing the square
B. extracting the square root
D. quadratic formula
3. How many real number solutions does the equation 𝑥² = k, where k > 0 have?
A. no real solution
C. three
B. two
D. one
4. What are the roots of 𝑥² – 144 = 0?
A. ± 24
B. ± 11
C. ± 12
D. ± 13
5. The (𝑥 + 3)(𝑥 – 3) is a factored form of equation ______.
A. 𝑥² – 3 = 0
C. 𝑥² – 9= 0
B. 2𝑥² = 9
D. 𝑥² + 32 = 0
6. What is the factored form of 𝑥² +10𝑥 +25 = 0?
A. (𝑥 −5)²
C. (𝑥 +2) (𝑥+5)
B. (𝑥 + 5)²
D. (𝑥 −2) (𝑥 +5)
7. Solve for the value of x in equation 4𝑥² + 8𝑥 = 0.
A. 𝑥 = 0, −2
C. 𝑥 = 1, 2
B. 𝑥 = 2, −2
D. 𝑥 = −1, −2
8. What is the missing term to make the expression 𝑝² + ______ + 49 a perfect square trinomial?
A. 14p
C. 16p
B. 4p
D. 9p
9. In the expression x² – bx + 100, what is the value of b to make the expression a perfect square?
A. 10
C. 15
B. 5
D. 20
10. What is the squared of binomial in question number 9?
A. (𝑥 − 5)²
C. (𝑥 + 20)²
B. (𝑥 −10)²
D. (𝑥 +10)²
11. The expression 𝒂𝒙²+ 𝒃𝒙 + 𝒄 is a perfect square trinomial if 𝒂 and 𝒄 are perfect square and 𝒃 is
twice the _____ of square roots of 𝒂 and 𝒄.
A. sum
C. constant
B. product
D. factor
12. Find the roots of 𝑥² = 8𝑥 + 4 using quadratic formula.
A. −4±√5
B. 4±2√5
C. 4±√5
D. -4±2√5
C. −3±√4
D.3±√−4
13. What are the roots of 𝑥² + 6𝑥 = 10?
A. −3±√19
B. 3±√19
14. A rocket is launched straight up from the side of a cliff 40m high. If the initial velocity (v) is 30
m/sec and the height (H) is given by the formula 𝐻=−16𝑡² + 𝑣𝑡 + ℎ, find the time at which the rocket will
hit the ground.
A. 2.78sec
B. -0.90sec
C. 3.1sec
D.-0.6sec
15. How will you describe the roots of the quadratic equation 𝑥² + 3 = 5𝑥 when solved using quadratic
formula?
A. Equal
B. Irrational
C. Rational
D. Non-real