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Solutions
43 Videos

Solve using pencil and paper.

```
\displaystyle
x + 5 = 9
```

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Q1a

Solve using pencil and paper.

```
\displaystyle
f- 7 = 3
```

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Q1b

Solve using pencil and paper.

```
\displaystyle
3h = 15
```

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Q1c

Solve using pencil and paper.

```
\displaystyle
\frac{k}{4} = 3
```

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Q1d

Solve using pencil and paper.

`$\displaystyle 2x + 5 = 11

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Q2a

Solve using pencil and paper.

```
\displaystyle
3y + 5= 11
```

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Q2b

Solve using pencil and paper.

```
\displaystyle
3y + 5= 1110 + 4f= - 34
```

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Q2c

Solve using pencil and paper.

```
\displaystyle
-5m -3= 12
```

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Q2d

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

```
\displaystyle
5x + 2= 12
```

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Q3a

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

```
\displaystyle
3p + 8 = 5
```

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Q3b

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

```
\displaystyle
4 + 6w =2
```

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Q3c

```
\displaystyle
-6 + 4u = -3
```

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Q3d

John has $23.65 to spend on a book and magazines. The book costs $5.95. The magazines cost $2.95 each.

a) Write an equation that models the number of magazines that John can afford.

b) Solve the equation.

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Q4

Solve using pencil and paper.

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Q5a

Solve using pencil and paper.

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Q5b

Solve using pencil and paper.

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Q5c

Solve using pencil and paper.

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Q5d

Solve using pencil and paper.

2a+5=6a+9

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Q6a

Solve using pencil and paper.

`3b-7=b+5`

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Q6b

Solve using pencil and paper.

5n+8=8n-10

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Q6c

Solve using pencil and paper.

-7d+3=-3d+11

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Q6d

Find the root of each equation using pencil and paper. Check each root.

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Q8a

The power, `P`

, in an electric circuit is
related to the voltage, V, and resistance

`R`

, by the formula
```
\displaystyle
P = \frac{V^2}{R}
```

.

a) Find the power, in watts (W), when the voltage is 100 V (volts) and the resistance is 50 `\Omega`

(ohms).

b) What is the resistance of a circuit that uses 100 W of power with a voltage of20 V?

c) The resistance of a circuit is 15 `\Omega`

. The same circuit uses 60 W of
power. Find the voltage in the circuit.

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Q12

The total of three cousins’ ages is 48. Suresh is half as old as Hakima and 4 years older than Saad. How old are the cousins?

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Q13

Aria sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.

a) How much will Aria earn in a4h shift if she sells 35 T-shirts?

b) How many T-shirts must Adila sell to earn $80 in a 6-h shift?

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Q14

Ramesh sells hot dogs at a ball game. He earns $8.50/h, plus $0.35 for each hotdog he sells.

a) How much will Ramesh earn in a 4—h shift if he sells 52 hot dogs?

b) How many hot dogs must Ramesh sell to earn $103 in an 8-h shift?

c) How many hot dogs must Ramesh sell to earn $79 in a 6-h shift?

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Q15