Quiz on 3.1 3.3: Round 1: Round 2: · Round 2:_____ This packet may be used on your test and will be collected after Round 2. Section 3.1: Slope and Rate of Change Section 3.2: Graph

ALGEBRA 1 – UNIT 3 POWER PACKET

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Quiz on 3.1 – 3.3: ________________

Round 1:_______________________

Round 2:_______________________

This packet may be used on your test and will be collected after Round 2.

Section 3.1: Slope and Rate of Change

Section 3.2: Graph Linear Equations Using Slope and 𝑦 − intercept

Section 3.3: Write linear equations using slope and 𝑦 −intercept

Section 3.4: Graph equations in standard form

Section 3.5: Solve literal equations

Section 3.6: Direct Variation

Section 3.7: Inverse Variation

Cumulative Review

ALGEBRA 1 – UNIT 3 POWER PACKET

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SECTION 3.1: SLOPE AND RATE OF CHANGE

Find the slope of the line.

1.

SLOPE:

Increasing or decreasing?

2.

SLOPE:

Increasing or decreasing?

3.

SLOPE:

Increasing or decreasing?

Find the slope of the line that goes through the points.

4. (4, −1), (2, −1)

5. (10, 4), (4, 15)

The points in the table form a line. Find the slope of each line.

6.

7.

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SECTION 3.2: GRAPH LINEAR EQUATIONS USING SLOPE AND Y-INTERCEPT

Find the slope and 𝒚- intercept of the graph of the linear equation.

8. 𝑦 = 4𝑥 − 5

Slope:_____________

Increasing or decreasing?

y-intercept:__________

9. 𝑦 = −7𝑥 + 12

Slope:_____________

Increasing or decreasing?

y-intercept:__________

10. 𝑦 = −4

5𝑥

Slope:_____________

Increasing or decreasing?

y-intercept:__________

SECTION 3.3: WRITE LINEAR EQUATIONS USING SLOPE AND Y-INTERCEPT

Write an equation of the line with the slope and y-intercept.

11.

12.

13.

Write an equation of the line.

14.

15.

16.

Slope: _____________

𝑦 −int:_____________

Equation:___________

Slope: _____________

𝑦 −int:_____________

Equation:___________

Slope: _____________

𝑦 −int:_____________

Equation:___________

ALGEBRA 1 – UNIT 3 POWER PACKET

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Write and graph each equation.

17. Given:

Slope: −3

Goes through: (0, 4)

Equation: Graph:

18. Given:

Slope: −1

2

Goes through: (4, −2)

Equation: Graph:

19. Given:

Goes through: (−3, 1)

Goes through: (0, −8)

Equation:

Graph:

20. Given:

Goes through:

(−1, −4)

Goes through: (1, − 6)

Equation: Graph:

ALGEBRA 1 – UNIT 3 POWER PACKET

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SECTION 3.4: GRAPH EQUATIONS IN STANDARD FORM

Graph each equation and find the 𝒙 and 𝒚 −intercepts.

21. 4𝑥 + 𝑦 = 4

𝑦-int:________________

𝑥-int:________________

22. 3𝑥 − 3𝑦 = 0

𝑦-int:________________

𝑥-int:________________

23. 2𝑥 − 8𝑦 = 24

𝑦-int:________________

𝑥-int:________________

SECTION 3.5: SOLVE LITERAL EQUATIONS

Solve each equation for the variable

24. 2𝑟 + 4𝑠 = 8𝑡 Solve for 𝑟. 25. 𝑥+5

𝑧= 8 Solve for 𝑥.

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SECTION 3.6: DIRECT VARIATION

Determine if the equation, graph, or table is direct variation.

1. 𝑦 = −5𝑥 + 4

2. 𝑦 =1

2𝑥

3.

4.

The graph and the table show direct variation. Find the constant of variation and write the direct

variation equation.

5.

6.

Constant of

variation:

Direct variation

equation:

Constant of

variation:

Direct variation

equation:

ALGEBRA 1 – UNIT 3 POWER PACKET

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SECTION 3.7: INVERSE VARIATION

Determine whether the equation is direct variation, inverse variation, or neither.

7. 𝑦 = 6𝑥 8. 𝑦 =4

𝑥 9. 𝑦 =

1

3𝑥

10. 𝑥𝑦 = 8 11. 𝑦 = 𝑥 + 7 12. 𝑦 + 3 = −7𝑥

Use the information to answer each question.

13. The points represent inverse variation.

Which equation represents this

relation.

(−1, 8), (4, −2), (2, 4)

a. 𝑦 = −3𝑥 + 5

b. 𝑦 = −2𝑥

c. 𝑦 =−𝑥

8

d. 𝑦 =−8

𝑥

14. The points represent direct variation.

Which equation represents this

relation.

(1, 4), (2, 8), (3, 12)

a. 𝑦 = 2𝑥 + 11

b. 𝑦 =4

𝑥

c. 𝑦 = 4𝑥

d. 𝑦 =1

4𝑥

ALGEBRA 1 – UNIT 3 POWER PACKET

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REVIEW FROM UNITS 1 AND 2

ALGEBRA 1 – UNIT 3 POWER PACKET

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