Benchmark 1 Review: Part 2

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Mathematics

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7th Grade

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Medium

Sheree Robinson

Used 12+ times

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8 Slides • 19 Questions

Part 2: Constant of Proportionality

Constant Proportionality (k)

Multiple Choice

k represents

the constant of proportionality

the king

ketchup

a strikeout

Multiple Choice

Which equation helps you solve for k?

$k\ =\ \frac{x}{y}$

$k\ =\ \frac{y}{x}$

k = y + x

k = 2x

How to spot k CONSTANT PROPORTIONALITY

Unit Rate (each, every, per, a)
Examples: 55 miles per hour, $4.25 per pound, 0.1 kilometer per minute

How to FIND k (constant proportionality)

From a TABLE:
- DIVIDE using the right column divided by the left column
- Divide using the bottom row divided by the top row

Multiple Choice

Which of the tables above represents a proportional relationship?

a & c

a, b & c

a, c & d

all of them

Multiple Choice

What is the constant of proportionality for this table?

$ $\frac{1}{9}$ per hour

$9 per hour

$8 per hour

Fill in the Blanks

Multiple Choice

What is the constant of proportionality? (Unit rate)

2 swings per day

0.5 swings per day

4 swings per day

None of the above

From a EQUATION y=kx:

Look for the number beside x

Multiple Choice

Which equation matches the constant of proportionality?

x = yk

yk = x

y = kx

l x w

Multiple Choice

Identify the constant of proportionality in this equation.

none (not proportional)

Fill in the Blanks

From a GRAPH:
- Divide using any ordered pair (x,y) on the line.

Multiple Choice

Which graph shows a proportional relationship?

Multiple Choice

What is k in this proportional relationship?

60 miles per hour

120 miles per hour

1 mile per hour

180 miles per hour

Fill in the Blanks

Multiple Choice

What is the constant of proportionality ordered pair for the following graph?

( 2 , 80 )

( 1 , 20 )

( 1 , 40 )

( 4 , 160 )

Multiple Choice

Write an equation that represents the relationship between the weight(x) and the cost(y).

$y=\frac{1}{2}x$

$y=\frac{1}{4}x$

y = 2x

y = 4x

How to FIND and USE k (constant proportionality)

If Rebecca eats 24 chips in 2 hours and 48 chips in 4 hours, how many chips can she eat in 3 hours?

Multiple Choice

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours. How many hours does Craig work to make $101.75?

13 hour

5 hour

11 hour

8 hour

Multiple Select

Which of the following statements is TRUE about the graph? Choose all that apply.

The point (2, 8) shows that 8 pounds of cheese cost $2.00.

The point (1.5, 6) shows the cost is $6.00 for 1.5 pounds of cheese.

The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

The point (0.25, 1) shows the cost is $0.25 for 1 pound of cheese.

The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

Multiple Choice

Identify the constant of proportionality.

k = 25

k = 50

k = 100

k = 1/50

none (not proportional)

Multiple Choice

Determine the missing value in the table.

1/3

Multiple Choice

Which tables and graphs show a proportional relationship?

A,B,D

A,C,F

B,D,E

B,C,F

Part 2: Constant of Proportionality

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