Which equation is equivalent to 2 x − 3 y = − 6 2x-3y=-6 2 x − 3 y = − 6

y = 2 3 x + 2 y=\frac{2}{3}x+2 y = 3 2 x + 2

y = 6 − 2 x y=6-2x y = 6 − 2 x

y = 3 2 x + 6 y=\frac{3}{2}x+6 y = 2 3 x + 6

y = − 2 3 x − 6 y=-\frac{2}{3}x-6 y = − 3 2 x − 6

An aquarium is being filled at a rate of 2.5" per second. The equations y=2.5x is used to determine the height of the water after x seconds. What is the domain of the situation if it takes 60 seconds to fill the aquarium?

0 ≤ x ≤ 60 0\le x\le60 0 ≤ x ≤ 6 0

{ 0 ≤ y ≤ 150 } \left\{0\le y\le150\right\} { 0 ≤ y ≤ 1 5 0 }

An aquarium is being filled at a rate of 2.5" per second. The equations y=2.5x is used to determine the height of the water after x seconds. What is the range of the situation if it takes 60 seconds to fill the aquarium?

0 ≤ y ≤ 150 0\le y\le150 0 ≤ y ≤ 1 5 0

0 ≤ x ≤ 60 0\le x\le60 0 ≤ x ≤ 6 0

The total cost for buying new sneakers for the basketball team can be found by using the function y=25x+65, where x is the number of players. If between 9 and 16 players need new sneakers, find the domain of the function.

{ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 } \left\{9,10,11,12,13,14,15,16\right\} { 9 , 1 0 , 1 1 , 1 2 , 1 3 , 1 4 , 1 5 , 1 6 }

0 ≤ x ≤ 16 0\le x\le16 0 ≤ x ≤ 1 6

9 ≤ x ≤ 16 9\le x\le16 9 ≤ x ≤ 1 6

The total cost for buying new sneakers for the basketball team can be found by using the function y=25x+65, where x is the number of players. If between 9 and 16 players need new sneakers, find the range of the function.

{ 290 , 315 , 340 , 365 , 390 , 415 , 440 , 465 } \left\{290,315,340,365,390,415,440,465\right\} { 2 9 0 , 3 1 5 , 3 4 0 , 3 6 5 , 3 9 0 , 4 1 5 , 4 4 0 , 4 6 5 }

0 ≤ y ≤ 465 0\le y\le465 0 ≤ y ≤ 4 6 5

290 ≤ y ≤ 465 290\le y\le465 2 9 0 ≤ y ≤ 4 6 5

The total cost of attending the state fair can be found using the function y=15+2.5x, where x is the number of food tickets purchased. If a family purchases between 5 and 10 food tickets, what is the domain of this situation?

{ 5 , 6 , 7 , 8 , 9 , 10 } \left\{5,6,7,8,9,10\right\} { 5 , 6 , 7 , 8 , 9 , 1 0 }

0 ≤ x ≤ 10 0\le x\le10 0 ≤ x ≤ 1 0

5 ≤ x ≤ 10 5\le x\le10 5 ≤ x ≤ 1 0

The total cost of attending the state fair can be found using the function y=15+2.5x, where x is the number of food tickets purchased. If a family purchases between 5 and 10 food tickets, what is the range of this situation?

{ 27.5 , 30 , 32.5 , 35 , 37.5 , 40 } \left\{27.5,30,32.5,35,37.5,40\right\} { 2 7 . 5 , 3 0 , 3 2 . 5 , 3 5 , 3 7 . 5 , 4 0 }

27.5 ≤ y ≤ 40 27.5\le y\le40 2 7 . 5 ≤ y ≤ 4 0

0 ≤ y ≤ 40 0\le y\le40 0 ≤ y ≤ 4 0

What is the domain of the graph?

− 3 < x ≤ 1 -3<x\le1 − 3 < x ≤ 1

0 ≤ x ≤ − 4 0\le x\le-4 0 ≤ x ≤ − 4

− 3 ≤ x ≤ 1 -3\le x\le1 − 3 ≤ x ≤ 1

What is the range of the graph?

0 < y ≤ − 4 0<y\le-4 0 < y ≤ − 4

− 3 < y ≤ 1 -3<y\le1 − 3 < y ≤ 1

0 ≤ y ≤ − 4 0\le y\le-4 0 ≤ y ≤ − 4

Algebra 1 Unit 2 Test Review

Authored by Gina Chance

Mathematics

8th - 9th Grade

CCSS covered

Used 232+ times

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This quiz covers fundamental concepts in Algebra 1, specifically focusing on functions and linear relationships, which places it squarely at the 8th to 9th grade level. The questions assess students' understanding of the distinction between functions and relations, their ability to identify key characteristics of linear functions from graphs (including slope, y-intercept, and zeros), and their skills in manipulating linear equations between different forms. Students need to demonstrate mastery of slope-intercept form, standard form conversions, and the ability to interpret graphs of horizontal and vertical lines. The quiz also requires understanding of function notation, domain and range concepts in both mathematical and real-world contexts, and the ability to evaluate functions at specific input values. Core reasoning skills include recognizing that functions pass the vertical line test, calculating slope using rise over run, identifying intercepts from coordinate pairs, solving for variables in linear equations, and interpreting contextual constraints that limit domain and range in practical situations. Created by Gina Chance, a Mathematics teacher in US who teaches grade 8 and 9. This comprehensive review quiz serves as an excellent formative assessment tool to gauge student readiness before a unit test on functions and linear relationships. Teachers can deploy this as a warm-up activity to activate prior knowledge, assign it as homework to reinforce classroom learning, or use it during review sessions to identify areas requiring additional instruction. The mix of computational problems, graph interpretation questions, and real-world applications makes it versatile for differentiated instruction and helps students connect abstract mathematical concepts to practical scenarios. The quiz aligns with Common Core standards A-REI.3 (solving linear equations), F-IF.1 (understanding function concepts), F-IF.2 (using function notation), F-IF.4 (interpreting key features of graphs), and F-IF.5 (relating domain and range to quantitative relationships), making it an ideal comprehensive review of essential algebraic thinking skills.

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Student View

25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Function

Relation

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Function

Relation

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Function

Relation

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Function

Relation

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Function

Relation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Function

Relation

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the y-intercept of the graph?

(0,-3)

(-3,0)

(0,5)

(5,0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the slope of the graph?

$\frac{5}{3}$

$\frac{3}{5}$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the zero of the graph?

-3

$\frac{5}{3}$

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which equation is equivalent to $2x-3y=-6$

$y=6-2x$

$y=\frac{3}{2}x+6$

$y=-\frac{2}{3}x-6$

$y=\frac{2}{3}x+2$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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Algebra 1 Unit 2 Test Review

What is the y-intercept of the graph?

What is the slope of the graph?

What is the zero of the graph?

Which equation is equivalent to 2x−3y=−62x-3y=-62x−3y=−6

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Which equation is equivalent to $2x-3y=-6$