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Solutions
50 Videos

Solve by graphing.

`x^2 -2x -3 =0 `

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Q1a

Solve by graphing.

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Q1b

Solve by graphing.

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Q1c

Solve by graphing.

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Q1d

Solve by graphing.

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Q1e

Solve by graphing.

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Q1f

Solve by graphing.

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Q1g

The length of a rectangle is `2`

cm more than the width. The area is `24 cm^2`

. What are the dimensions of the rectangle?

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Q3

Solve by factoring.

`x^2 + 3x - 28 = 0`

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Q4a

Solve by factoring.

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Q4b

Solve by factoring.

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Q4c

Solve by factoring.

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Q4d

Solve by factoring.

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Q4e

Solve by factoring.

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Q4f

Solve by factoring.

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Q4g

Solve by factoring.

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Q4h

Solve by factoring.

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Q4i

Solve by factoring.

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Q4j

Solve by factoring.

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Q4k

Solve by factoring.

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Q4l

The playing surface in the game of curling is a rectangular sheet of ice with an area of about `225 m^2`

. The width is about 40 m less than the length. Find the approximate dimensions of the playing surface.

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Q5

Sketch the graphs of the following quadratic functions by factoring to
locate the ` x `

-intercepts, and then finding the coordinates of the vertex.

```
\displaystyle
y=x^{2}+6 x+8
```

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Q6a

Solve using the quadratic formula.

```
\displaystyle
x^{2}-7 x+12=0
```

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Q7a

Solve using the quadratic formula.

```
\displaystyle
x^{2}-3 x+5=0
```

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Q7b

Solve using the quadratic formula.

```
\displaystyle
n^{2}+n-42=0
```

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Q7c

Solve using the quadratic formula.

```
\displaystyle
x^{2}-1=0
```

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Q7d

Solve using the quadratic formula.

```
\displaystyle
2 x^{2}+3 x=0
```

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Q7e

Solve using the quadratic formula.

```
\displaystyle
4 x^{2}-12 x+9=0
```

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Q7f

Solve using the quadratic formula.

```
\displaystyle
7 g^{2}+2=9 g
```

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Q7g

Solve using the quadratic formula.

```
\displaystyle
4 m^{2}=3+4 m
```

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Q7h

Solve using the quadratic formula. Express answers as exact roots and as approximate roots, to the nearest hundredth.

```
\displaystyle
x^{2}+5 x-3=0
```

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Q8a

Solve using the quadratic formula. Express answers as exact roots and as approximate roots, to the nearest hundredth.

```
\displaystyle
k^{2}-9 k=1
```

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Q8b

Solve using the quadratic formula. Express answers as exact roots and as approximate roots, to the nearest hundredth.

```
\displaystyle
8 w^{2}=2-3 w
```

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Q8c

```
\displaystyle
3=5 x+3 x^{2}
```

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Q8d

Solve, to the nearest hundredth.

```
\displaystyle
6 x^{2}+x-4=0
```

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Q9a

Solve, to the nearest hundredth.

```
\displaystyle
1.2 x^{2}+0.5 x-0.3=0
```

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Q9b