Equations And Inequalities Test Bank Chapter 1 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.
College Algebra, 5e (Young)
Chapter 1 Equations and Inequalities
1.3 Quadratic Equations
1) Solve by factoring.
+ 2x = 48
A) {-6, 8}
B) {6, -8}
C) {-6, -8}
D) {6, 8}
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
2) Solve by factoring.
3 + 20 = 19x
A) {-4/3, 5}
B) {4/3, 5}
C) {3/4, 5}
D) {-3/4, 5}
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
3) Solve by factoring.
= 9
A) {-3, 3}
B) {-3}
C) {3}
D) {9, -9}
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the square root method to solve quadratic equations.
4) Solve by factoring.
5x + 
= 9
A) {-4/5, -1}
B) {5/4, 1}
C) {4/5, 1}
D) {-5/4, -1}
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
5) Solve using the square root method.
= 25
A) 
B) 
C) 
D) 
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the square root method to solve quadratic equations.
6) Solve using the square root method.
= 15
A) {1 + 
, 1 - }
B) {-1 + }
C) {-1, }
D) {-1 + , -1 - }
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the square root method to solve quadratic equations.
7) Solve using the square root method.
= -49
A) {10 + 7i, 10 - 7i}
B) {10 + 7i}
C) {17}
D) {17, 3}
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the square root method to solve quadratic equations.
8) What number should be added to complete the square of the expression?
+ 2.9x
A) 2.1025
B) 1.45
C) 5.8
D) 8.41
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by completing the square.
9) What number should be added to complete the square of the expression?
- 7x
A) 49
B) 7/2
C) 49/4
D) 14
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by completing the square.
10) What number should be added to complete the square of the expression?
+ 
x
A) 9/100
B) 9/25
C) 3/100
D) 3/25
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by completing the square.
11) Solve using the quadratic formula.
36
- 84y - 223 = 0
A) 
B) 
C) 
D) 
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
12) Determine the discriminant:
8 - 8x - 8 = 0
A) 320
B) 
C) -248
D) 264
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
13) Determine the discriminant:
+ 4x + 6 = 0
A) 
B) -8
C) 8
D) -8i
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
14) Determine the number and type of root to expect. Do not solve.
3 - 8x + 4 = 0
A) two complex roots
B) two distinct real roots
C) one real root
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
15) Determine the number and type of root to expect. Do not solve.
- 12x + 36 = 0
A) two complex roots
B) two distinct real roots
C) one real root
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
16) Solve by factoring.
6 - 150 = 0
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
17) Solve using the quadratic formula. Express your answer as a decimal to two decimal places.
0.1 + 1.0x - 0.6 = 0
Diff: 3 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
18) Solve using the square root method.
= 144
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the square root method to solve quadratic equations.
19) Solve using the quadratic formula.
16 - 64y - 186 = 0
A) 
B) 
C) 
D) 
Diff: 3 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
20) The area of a rectangle is 154 square feet. The width is 3 feet less than the length. Find the dimensions of the rectangle.
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
21) If a person drops a water balloon off the rooftop of a 64 foot building, the height of the water balloon is given by the equation 
where t is in seconds. When will the water balloon hit the ground? Round to 2 decimal places if necessary.
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
22) Solve 
- 16 = 0 for c.
A) {-4}
B) {4}
C) {-4, 4}
D) no solution
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
23) Solve 
= 36z for z.
A) {-6}
B) {0, 36}
C) {-6, 6}
D) {6}
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Solve quadratic equations by factoring.
24) Solve 
+ 81 = 0 for b.
A) {-9}
B) {9}
C) {-9, 9}
D) {-9i, 9i}
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the square root method to solve quadratic equations.
25) Solve using any method.
- 
x + 
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Choose the appropriate method for solving quadratic equations.; Use the Quadratic Formula to solve quadratic equations.
26) Solve using any method. Round to two decimal places if necessary.
+ 
= 
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 03
Learning Objective: Use the Quadratic Formula to solve quadratic equations.
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