Name__________________________________ Date_____________ Period_____

Chapter 4 Test (Study Guide)

1) Place each word from the word list under the column it belongs. 2) Name the slope and y-intercept for each equation listed below. Slope Y-Intercept 𝒚 = 𝟒𝒙 − 𝟏 𝒚 = 𝒙 + 𝟐

𝒚 = 𝟓 +𝟏

𝟐𝒙

𝒚 = 𝟑𝒙 𝒚 = 𝟔 − 𝟐𝒙

Growth Figure 0

8th Grade

Word List

Slope

Y-intercept

m

b

Initial value

Rate of change

Starting point

Unit rate

Find the slope and y-intercept for each graph. Then write a RULE. 3) 4) m = m =

b = b =

Equation: Equation: 5) 6) m = m =

b = b =

Equation: Equation:

Find the rate of change and initial value for each table. Then write a RULE. 7) 8) m = m = b = b =

Equation: Equation: 9) m = b =

Equation: 10) Find the rate of change and initial value for the situation. Then write a RULE.

m = b =

Equation:

x y

1 9

-2 3

3 13

-4 -1

5 17

x y

-3 0

0 3

2 5

4 7

5 8

x y

-4 28

-2 22

-1 19

3 7

5 1

The amusement park charges an entrance fee of $10 and then $2.50 for each ride.

11) Determine if each ordered pair (x, y) is a solution to the equation below.

𝒚 = −𝟐

𝟓𝒙 + 𝟔

12) The graph shows the cost for joining Fantastic Fit Gym for one year. What is the initial value and what does it represent? What is the rate of change and what does it represent? 13) Use the slope and y-intercept to match the graph to its correct equation.

(X, Y) YES NO

(0 , 6) o o

(5, 4) o o

(–5 , 10) o o

(1 , 7) o o

14) 15) Find the slope of each segment listed below. 𝑨𝑪̅̅ ̅̅ 𝑪𝑬̅̅ ̅̅ 𝑨𝑬̅̅ ̅̅

More Test Review (Looping Skills)

Solve each equation.

1) 𝟑 −𝟐

𝟗𝒃 =

𝟏

𝟑𝒃 − 𝟕 2) −𝟏𝟐𝒙 − 𝟔 = −𝟏𝟎𝒙 + 𝟒

3) 𝟗𝒙 + 𝟏𝟐 = 𝒙 − 𝟒 4) −𝟔𝒎 + 𝟏𝟖 = 𝟒 − 𝟐(𝒎 − 𝟑) 5) Write an example of each type of equation described below.

Equation with 1 solution…………………..:

Equation with no solution………………..:

Equation with infinite many solutions:

Solve and graph the inequalities. 6) −𝟗𝒙 + 𝟒 ≥ 𝟒𝟎

7) −𝟏𝟎𝒙 + 𝟐 > −𝟏𝟒𝒙 + 𝟏𝟎 8) The Bustos family is trying to decide which event they would like to attend. Help Mr. and Mrs. Bustos decide by answering the questions below.

What is the cost of one band ticket? What is the cost of one movie ticket?

Which event will be cheaper and by how much?

9) For each situation, CIRCLE if the relationship is proportional or non-proportional. Then write an equation for the situation. a] Proportional | Non-Proportional Equation:

b] Proportional | Non-Proportional

Equation:

c] Proportional | Non-Proportional Equation: d] Proportional | Non-Proportional Equation:

e] Proportional | Non-Proportional Equation:

Johnson’s Limo Service rents

limousines for a base rate of $100,

then $50 for each hour used.

Name__________________________________ Date_____________ Period_____

Chapter 4 Test (Study Guide) 1) Place each word from the word list under the column it belongs. 2) Name the slope and y-intercept for each equation listed below. Slope Y-Intercept 𝒚 = 𝟒𝒙 − 𝟏 4 –1 𝒚 = 𝒙 + 𝟐 1 2

𝒚 = 𝟓 +𝟏

𝟐𝒙

𝟏

𝟐 5

𝒚 = 𝟑𝒙 𝟑 0 𝒚 = 𝟔 − 𝟐𝒙 –2 6

Growth Figure 0

Slope

m

Rate of change

Unit rate

Y-intercept

b

Initial value

Starting point

8th Grade

Answer Key

Word List

Slope

Y-intercept

m

b

Initial value

Rate of change

Starting point

Unit rate

Find the slope and y-intercept for each graph. Then write a RULE. 3) 4)

m = 𝟏

𝟐 m = -3

b = 0 b = -2

Equation: 𝒚 =𝟏

𝟐𝒙 Equation: 𝒚 = −𝟑𝒙 − 𝟐

5) 6)

m = 𝟑

𝟐 m = -1

b = -3 b = 4

Equation: 𝒚 =𝟑

𝟐𝒙 − 𝟑 Equation: 𝒚 = −𝒙 + 𝟒

Find the rate of change and initial value for each table. Then write a RULE. 7) 8) m = 2 m = 1 b = 7 b = 3

Equation: 𝒚 = 𝟐𝒙 + 𝟕 Equation: 𝒚 = 𝒙 + 𝟑 9) m = -3 b = 16

Equation: 𝒚 = −𝟑𝒙 + 𝟏𝟔 10) Find the rate of change and initial value for the situation. Then write a RULE.

m = 2.50 b = 10

Equation: 𝒚 = 𝟐. 𝟓𝟎𝒙 + 𝟏𝟎

x y

1 9

-2 3

3 13

-4 -1

5 17

x y

-3 0

0 3

2 5

4 7

5 8

x y

-4 28

-2 22

-1 19

3 7

5 1

The amusement park charges an entrance fee of $10 and then $2.50 for each ride.

11) Determine if each ordered pair (x, y) is a solution to the equation below.

𝒚 = −𝟐

𝟓𝒙 + 𝟔

12) The graph shows the cost for joining Fantastic Fit Gym for one year. What is the initial value and what does it represent? Answer: $60; It represents the fee for joining the gym. What is the rate of change and what does it represent?

Answer: 𝟐𝟎

𝟐 = $10

It represents the charge per month. 13) Use the slope and y-intercept to match the graph to its correct equation.

(X, Y) YES NO

(0 , 6) o o

(5, 4) o o

(–5 , 10) o o

(1 , 7) o o

14) 15) Find the slope of each segment listed below. 𝑨𝑪̅̅ ̅̅ Answer: m = 1 𝑪𝑬̅̅ ̅̅ Answer: m = 1 𝑨𝑬̅̅ ̅̅ Answer: m = 1

More Test Review (Looping Skills)

Solve each equation.

1) 𝟑 −𝟐

𝟗𝒃 =

𝟏

𝟑𝒃 − 𝟕 2) −𝟏𝟐𝒙 − 𝟔 = −𝟏𝟎𝒙 + 𝟒

Answer: 18 Answer: -5 3) 𝟗𝒙 + 𝟏𝟐 = 𝒙 − 𝟒 4) −𝟔𝒎 + 𝟏𝟖 = 𝟒 − 𝟐(𝒎 − 𝟑) Answer: -2 Answer: 2 5) Write an example of each type of equation described below. Answers Will Vary

Equation with 1 solution…………………..: 𝟒𝒙 + 𝟐 = 𝒙 + 𝟓

Equation with no solution………………..: 𝟒𝒙 + 𝟐 = 𝟒𝒙 + 𝟓

Equation with infinite many solutions: 𝟒𝒙 + 𝟐 = 𝟒𝒙 + 𝟐

Solve and graph the inequalities. 6) −𝟗𝒙 + 𝟒 ≥ 𝟒𝟎 Flipped Sign! 𝒙 ≤ −𝟒

7) −𝟏𝟎𝒙 + 𝟐 > −𝟏𝟒𝒙 + 𝟏𝟎 Answer: 𝒙 > 𝟐 8) The Bustos family is trying to decide which event they would like to attend. Help Mr. and Mrs. Bustos decide by answering the questions below.

What is the cost of one band ticket? What is the cost of one movie ticket?

Unit rate = 𝟏𝟎

𝟓 = $2.00 Unit rate =

𝟏𝟏

𝟐 = $5.50

Which event will be cheaper and by how much? Band Concert is cheaper by $3.50 per ticket.

9) For each situation, CIRCLE if the relationship is proportional or non-proportional. Then write an equation for the situation. a] Proportional | Non-Proportional Equation: y = 50x + 100

b] Proportional | Non-Proportional

Equation: y = 10x

c] Proportional | Non-Proportional Equation: y = 4x + 10 d] Proportional | Non-Proportional Equation: y = 6x

e] Proportional | Non-Proportional Equation: y = 2x + 4

Johnson’s Limo Service rents

limousines for a base rate of $100,

then $50 for each hour used.