AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Cumulative exam Answers

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Last week, an office group spent $122 on 6 cheese pizzas and 4 salads. This week, the group spent $192 on 8 cheese pizzas and 6 salads. Let c represent the number cheese pizzas and s represent the number of salads. Which system of equations can be used to find the cost of one cheese pizza and one salad?

A
6 c + 4 s = 122. 8 c + 6 s = 192.
Option A
B
6 c + 4 s = 192. 8 c + 6 s = 122.
Option B
C
8 c + 4 s = 192. 6 c + 6 s = 122.
Option C
D
4 c + 6 s = 122. 6 c + 8 s = 192.
Option D
2
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What is the product?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
3

What is the value of ?

Question illustration
A
Negative StartFraction 81 Over 16 EndFraction
Option A
B
Negative StartFraction 16 Over 81 EndFraction
Option B
C
StartFraction 16 Over 81 EndFraction
Option C
D
StartFraction 81 Over 16 EndFraction
Option D
4

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

Question illustration
A
–5.7
B
–4
C
–1
D
–0.7
5

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

A
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
Option A
B
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
Option B
C
{–12, 2}
D
{–2, 12}
6

Which expression is equivalent to ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
7

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

Question illustration
A
8 baskets of peaches
B
11 baskets of peaches
C
12 baskets of peaches
D
15 baskets of peaches
8

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

Question illustration
A
one solution: (–0.6, –1.6)
B
one solution: (–0.6, 1.6)
C
no solution
D
infinite number of solutions
9

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

A
x + 1
B
x
C
2
D
0
10

Which expression is a difference of squares with a factor of 5x − 8?

A
25x2 − 16
B
25x2 + 16
C
25x2 − 64
D
25x2 + 64
11

Which are differences of perfect cubes? Select two options.9a3- 27125a12 - 72216a6 - 27y38a15 - 27225a3 - 216

A
9a3- 27
B
125a12 - 72
C
216a6 - 27y3
D
8a15 - 27
E
225a3 - 216
12

Which polynomial is prime?

A
x4 + 3x2 – x2 – 3
B
x4 – 3x2 – x2 + 3
C
3x2 + x – 6x – 2
D
3x2 + x – 6x + 3
13

Which expression is equivalent to –6x3 • x • y2 • y6?

A
mc010-1.jpg
Option A
B
mc010-2.jpg
Option B
C
mc010-3.jpg
Option C
D
mc010-4.jpg
Option D
14

Which polynomial is prime?

A
x3 + 3x2 + 2x + 6
B
x3 + 3x2 – 2x – 6
C
10x2 – 4x + 3x + 6
D
10x2 – 10x + 6x – 6
15

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

A
–19
B
–9
C
1
D
10
16

What are the factors of 2x2 + 3x – 54? Select two options.2x – 92x – 62x + 6x – 6x + 6

A
2x – 9
B
2x – 6
C
2x + 6
D
x – 6
E
x + 6
17

Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

Question illustration
A
(–5, –7.2)
B
(–5, –6.8)
C
(–5, –6.2)
D
(–5, –5.9)
18

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

A
{–11, –1}
B
{–11, 1}
C
{11, –1}
D
{11, 1}
19

Which function has real zeros at x = –8 and x = 5?

A
g(x) = x2 + 3x – 40
B
g(x) = x2 + 3x + 40
C
g(x) = x2 + 14x – 40
D
g(x) = x2 + 14x + 40
20

What is the discriminant of the quadratic equation 2x + 5x2 = 1?

A
–18
B
–16
C
22
D
24

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