Textbook

10 Principles of Mathematics Nelson
Chapter

Chapter 4
Section

Quadratic Relations Practice Test

Purchase this Material for $4

You need to sign up or log in to purchase.

Subscribe for All Access
You need to sign up or log in to purchase.

Solutions
25 Videos

Determine the value fo each symbol.

```
\displaystyle
x^2 - \diamond x - 56 = (x + 7)(x - \square)
```

Buy to View

Q1a

Determine the value fo each symbol.

```
\displaystyle
16x^2 - \diamond = ( \square x -3)(\square x + \circ)
```

Buy to View

Q1b

Determine the value fo each symbol.

```
\displaystyle
12x^2 + \circ x + 5 = (4x + \square)(\diamond x + 5)
```

Buy to View

Q1c

Determine the value fo each symbol.

```
\displaystyle
25x^2 + \circ x + 49 = (\square x + \diamond)^2
```

Buy to View

Q1d

Identify each trinomial that is modelled below, and state its factors.

Buy to View

Q2a

Identify each trinomial that is modelled below, and state its factors.

Buy to View

Q2b

Factor fully.

```
\displaystyle
20x^5 -30x^3
```

Buy to View

Q3a

Factor fully.

```
\displaystyle
-8yc^3 + 4y^2c - 6yc
```

Buy to View

Q3b

Factor fully.

```
\displaystyle
2a(3b + 5) + 7(3b + 5)
```

Buy to View

Q3c

Factor fully.

```
\displaystyle
2st + 6s + 5t + 15
```

Buy to View

Q3d

Factor `25x^2 -30x + 9`

using two different strategies.

Buy to View

Q4

Factor fully.

```
\displaystyle
x^2 + 4x - 77
```

Buy to View

Q5a

Factor fully.

```
\displaystyle
a^2-3a -10
```

Buy to View

Q5b

Factor fully.

```
\displaystyle
3x^2 -12x + 12
```

Buy to View

Q5c

Factor fully.

```
\displaystyle
m^3 + 3m^2-4m
```

Buy to View

Q5d

Factor fully.

```
\displaystyle
6x^2 -x -2
```

Buy to View

Q6a

Factor fully.

```
\displaystyle
8n^2 + 8n - 6
```

Buy to View

Q6b

Factor fully.

```
\displaystyle
9x^2 +12x +4
```

Buy to View

Q6c

Factor fully.

```
\displaystyle
6ax^2+5ax-4a
```

Buy to View

Q6d

A graphic arts company creates posters with areas that are given by the equation `A = 2x^2 + 11x+12`

a) Write expressions for possible dimensions of the posters.

b) Write expressions for the dimensions of a poster whose width is doubled and whose length is increased by 2. Write the new area as a simplified polynomial.

c) Write expressions for possible dimensions of a poster whose area is given by the expression `18x^2 + 99x + 108`

.

Buy to View

Q7

Factor fully.

```
\displaystyle
225x^2 -4
```

Buy to View

Q8a

Factor fully.

```
\displaystyle
9a^2 -48a + 64
```

Buy to View

Q8b

Factor fully.

```
\displaystyle
x^6 -4y^2
```

Buy to View

Q8c

Factor fully.

```
\displaystyle
(3 + n)^2 -10(3 + n) + 25
```

Buy to View

Q8d

A parabola is defined by the equation `y = 2x^2 - 11x + 5`

.

Buy to View

Q9