(MATH 114N Week 7 Test 3 Review)
MATH 114N Week 7 Test 3 Review (Version 1)
1. Question: Solve
(x – 10)2 = 20
2. Question: Simplify the radical.
√48
3. Question: Use the quadratic formula to solve the equation.
2×2 + 2x = 0
4. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(k^8/9)
5. Question: Graph the quadratic function by plotting points. Give the coordinates of the vertex.
y = -2x2 + 2
6. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(〖 9m〗^9 n^10 )
7. Question: Determine whether the graph is that of a function. Does the graph represent a function?
8. Question: Given the function f(x) = |x + 7|, find each of the following.
f(3), f(- 6), f(0)
9. Question: Determine whether the relation is a function. Explain
x = – 6
10. Question: Decide whether the following equation defines y as a function of x.
y = 4 x
11. Question: Find the square root.
√0.00081
12. Question: Solve the equation by using the square root property. Simplify all radicals.
(5k + 1)2 – 20 = 0
13. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√x6
14. Question: Give the coordinates of the vertex. Sketch the graph of the equation.
y = x2 + 2x + 6
15. Question: Find the domain and the range of the relation, and determine whether it is a function.
{(7,2),(- 9, -4),(2, -2),(5, – 9)}
16. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(100y^4 )
17. Question: Find the product and simplify.
√3 . √21
18. Question: Simplify the radical
√110
19. Question: Solve the equation by using the square root property. Simplify all radicals.
7x2 = 5
20. Question: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
21. Question: Use the quadratic formula to solve the equation.
2/5 x2 – x + 19/10 = 0
22. Question: Find the square root.
√(- 196)
23. Question: Find the square root.
– √(121/16)
24. Question: Use the product and quotient rules, as necessary, to simplify the radical expression.
(√64)/(√9)
25. Question: Use the product rules to simplify the radical.
√7 . √7
MATH 114N Week 7 Test 3 Review (Version 2)
1. Question: Determine whether the relation is a function. Explain
x = – 7
2. Question: Find the domain and the range of the relation, and determine whether it is a function.
{(7,5),(- 7, – 4),(2, -2),(3, – 7)}
3. Question: Solve the equation by using the square root property. Simplify all radicals.
(2k + 3)2 – 12 = 0
4. Question: Find the square root.
√1
5. Question: Solve the equation by using the square root property. Simplify all radicals.
7×2 = 5
6. Question: Find the square root.
– √(324/25)
7. Question: Graph the quadratic function by plotting points. Give the coordinates of the vertex.
y = -2×2 + 4
8. Question: Simplify the radical.
√182
9. Question: Decide whether the following equation defines y as a function of x.
y = x
10. Question: Determine whether the graph is that of a function. Does the graph represent a function?
11. Question: Given the function f(x) = |x + 8|, find each of the following.
f(5), f(- 9), f(0)
12. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√x8
13. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√252
14. Question: Give the coordinates of the vertex. Sketch the graph of the equation.
y = x2+ 4x + 5
15. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(81y^6 )
16. Question: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
17. Question: Find the product and simplify.
√3 . √21
18. Question: Solve
(x- 2)2 = 12
19. Question: Use the product rule to simplify the radical.
√(13 ). √13
20. Question: Use the quadratic formula to solve the equation.
2×2 + 8x = 0
21. Question: Use the product and quotient rules, as necessary, to simplify the radical expression.
√81/16
22. Question: Use the quadratic formula to solve the equation.
x2- x + = 0
23. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(k^8/9)
24. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(〖 4m〗^7 n^10 )
25. Question: Find the square root.
√(- 169)
MATH 114N Week 7 Test 3 Review (Version 3)
1. Question: Decide whether the following equation defines y as a function of x.
y = 12x
2. Question: Solve
(x- 18)2 = 18
3. Question: Graph the quadratic function by plotting points. Give the coordinates of the vertex.
y = -2×2 + 2
4. Question: Find the square root.
– √(81/121)
5. Question: Simplify the radical.
√130
6. Question: Simplify the radical.
√72
7. Question: Solve the equation by using the square root property. Simplify all radicals.
2×2 = 5
8. Question: Find the domain and the range of the relation, and determine whether it is a function.
{(7, 3),(- 8, – 5),(2, -1),(5, – 10)}
9. Question: Determine whether the relation is a function. Explain
x = – 3
10. Question: Use the product rule to simplify the radical.
√(15 ). √15
11. Question: Find the product and simplify.
√3 . √33
12. Question: Find the square root.
√(- 225)
13. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(k^10/65)
14. Question: Determine whether the graph is that of a function. Does the graph represent a function?
15. Question: Given the function f(x) = |x + 8|, find each of the following.
f(1), f(- 8), f(0)
16. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√64 y^6
17. Question: Use the product and quotient rules, as necessary, to simplify the radical expression.
√100/√81
18. Question: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
19. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(x^12 )
20. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
√(〖 36m〗^11 n^10 )
21. Question: Use the quadratic formula to solve the equation.
2×2 + 6x = 0
22. Question: Solve the equation by using the square root property. Simplify all radicals.
(3k + 5)2 – 8 = 0
23. Question: Use the quadratic formula to solve the equation.
x2- x + = 0
24. Question: Find the square root.
√0.0016
25. Question: Give the coordinates of the vertex. Sketch the graph of the equation.
y = x2+ 2x + 5