Practice 1-9 - Five Representations

2.1 A school sells adult tickets and student tickets for a play.

Adult tickets, a, cost $8 each and student tickets, s, cost $4 each.

They collected $320 in total.

Which equation represents this relationship?

• 8a + 4s = 320

• 8s + 4a = 320

• 8a · 4s = 320

• a + s = 320

2.2 Kiana spent $40 riding the bus and the train last month.

Each bus ride costs $2. Each train ride costs $2.50.

Let b represent the number of bus rides Kiana took last month.

Let t represent the number of train rides Kiana took last month.

Write an equation in standard form.

• b + t = 40

• 2b + 2.5t = 40

• 2.5b + 2t = 40

• 4.5(b + t) = 40

2.2 Kiana spent $40 riding the bus and the train last month.

Each bus ride costs $2. Each train ride costs $2.50.

Let b represent the number of bus rides Kiana took last month.

Let t represent the number of train rides Kiana took last month.

Complete the table and plot the points.

Which graph represents the table (relationship)?

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2.2 Write the equation solved for t.

Pick 3

2b + 2.5t = 40

2.2 Kiana spent $40 riding the bus and the train last month.

Each bus ride costs $2. Each train ride costs $2.50.

Let b represent the number of bus rides Kiana took last month.

Let t represent the number of train rides Kiana took last month.

Explain what the given point on the graph represents.

• The point (b, t) shows the total cost of Kiana's rides.
• The point (b, t) represents the distance Kiana traveled.
• The point (b, t) indicates the time Kiana spent on public transport.
• The point (b, t) indicates the number of bus and train rides Kiana took that sum to $40.

2.3 Write an equation that represents the given relationship.

Vihaan sold 4 bracelets at the fair.

To make the bracelets, he bought 8 packs of beads.

Vihaan made $32 in total.

Use x for the price of a bracelet. Use y for the cost of a pack of beads.

• 4x + 8y = 32

• 8x - 4y = 32

• 4x - y = 32

• 4x - 8y = 32

2.3 Solve the equation for y.

Pick 3

4x - 8y = 32

2.4 Write an equation that represents the relationship.

A family bought 2 hamburgers and 4 salads at the fair.

Their total cost was $32.

Use x for the price of a hamburger. Use y for the price of a salad.

• x + y = 32

• 2x - 4y = 32

• 4x + 2y = 32

• 2x + 4y = 32

2.4 Solve the equation for y.

Pick 3

2x + 4y = 32

• y = 8 - 0.5x

2.5 Write an equation for this relationship.

Ariana bought dried berries and oats from the store.

Berries cost $6 per pound and oats cost $3 per pound.

The total was $18.

Use b for the number of pounds of berries. Use t for the number of pounds of oats.

• b + t = 18

• 3b + 6t = 18

• 9(b + t) = 18

• 6b + 3t = 18