Grade 8 Benchmark #3

Name:______

Part 1 For Questions 1 – 10 bubble in your answers on the scan cards. You must also show your work in the space provided.

Work space

Q1 (7A10) The table below shows a relationship between x and y
x / 2 / 5 / 6 / 9
y / 6 / 9 / 10 / 13
Which equation shows the relationship between x and y?
1 y = 3x
2 x = 3y
3 y = x + 4
4  x = y + 4
Q2 (8A8) Simplify the expression below.
5x(2x — 5)
1 10x — 5
2 10x2 — 5
3 10x — 25x
4 10x2 — 25x
Q3 (8A9) What is the simplified form of the expression below?
8x6 – 6x3
2x2
1 4x3 — 3
2 4x4 — 3
3 4x3 — 3x
4 4x4 — 3x
Q4 (8A8)
What is the product of the expression below?
(2x – 5)(2x – 3)
1) 4 x2 + 16 x + 15
2) 4 x2 — 16 x — 15
3) 4 x2 + 16 x — 15
4) 4 x2 — 16 x + 15
Q5 (8A10) Factor the expression below
12n5 + 8n3 + 6n
1) 2n(6n4 + 4n2 + 3)
2) 2n(6n5 + 8n3 + 3n)
3) 2n(12n5 + 4n2 +6)
4) 2n(6n4 + 8n3 + 6n)
Q6 (8A3) John drew the graph below to represent a situation
1.  The temperature of a frozen pizza cooking in an oven increases 5 degrees every minute.
2.  The temperature of a frozen pizza cooking in an oven increases 10 degrees every minute.
3.  The temperature of a frozen pizza cooking in an oven increases 15 degrees every minute.
4.  The temperature of a frozen pizza cooking in an oven increases 20 degrees every minute.

Q7 (8A4) Alisa pays $0.50 per hour to park her car at the museum. Which graph correctly shows the relationship between the hours, x, Alisa’s car is parked and the total parking cost in dollars, y?

Q8 (8A7)
Simplify the expression below.
4k2 + 5k — 3 + 5k2 + 2
1 4k2 + 10k — 1
2 9k2 + 5k — 1
3 9k2 + 7k — 3
4 14k2 + 5k — 1
Q9 (8G1) In the diagram below, which angle is congruent to ∠5 ?
1 ∠l
2 ∠2
3 ∠3
4 ∠4

Q10 (8G3) In the diagram below, lines a and b are parallel. Which angle is supplementary to ∠2?

1 ∠3
2 ∠4
3 ∠5
4 ∠7

Part 2 Answer questions 11 - 14 in the spaces in the question.

Q11 (7A10) The table below shows Jeffrey’s bank account balance for the past six weeks.

JEFFREY’S BANK ACCOUNT

Week
(w) / Balance
(b)
1 / $10
2 / $24
3 / $38
4 / $52
5 / $66
6 / $80

Part A

Using information from the table, write an equation that represents the balance, b, in Jeffrey’s bank account as a function of the number of weeks, w.

Answer

Part B

Use your equation or the information in the table to find what Jeffrey’s bank account balance will be in Week 8.

Answer $

Q12 (8A7)

What is the polynomial resulting from the subtraction below?

(3x2 + 4x — 7) — (x2 — 2x + 6)

Show your work.

Answer

Q13 (8A3)

The graph below shows the change in water temperature of a glass of tap water placed into a freezer.

Change in water temperature

Use information in the graph to determine how many total minutes it takes the water to reach 0°C.

Answer minutes

On the lines below, explain how you determined your answer.

1

Q14 (8A4)

Melinda makes hats to give as gifts. She needs 2 days to complete each hat. On the grid below, create a line graph that shows the relationship between the number of days it takes Melinda to make hats and the number of hats she completes.

Be sure to

·  Title your graph

·  Label the axes

·  Graph all the data

How many hats will Melinda make in 14 days?

Answer ______hats

7