Complete the equation for the standard form of the line that has an x -intercept of –5 and a y -intercept of –4.

4 x + 5 y = − 20 4x+5y=-20 4 x + 5 y = − 2 0

4 x + 5 y = 20 4x+5y=20 4 x + 5 y = 2 0

− 4 x − 5 y = − 20 -4x-5y=-20 − 4 x − 5 y = − 2 0

− 5 x + − 4 y = − 20 -5x+-4y=-20 − 5 x + − 4 y = − 2 0

Write the equation of the line y = − 11 3 x + 3 y=-\frac{11}{3}x+3 y = − 3 1 1 x + 3 in standard form.

11 x + 3 y = 9 11x\ +3y\ =9 1 1 x + 3 y = 9

3 y = − 11 x + 9 3y=-11x+9 3 y = − 1 1 x + 9

11 x + 3 y − 9 = 0 11x\ +\ 3y\ -9\ =0 1 1 x + 3 y − 9 = 0

11 x = − 3 y + 9 11x\ =-3y+9 1 1 x = − 3 y + 9

Identify the x-intercept and the y-intercept of the graph of 6 x + 15 y = − 30 6x+15y=-30 6 x + 1 5 y = − 3 0

x-intercept: -5; y-intercept: -2

x-intercept: -2; y-intercept: 2

Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins x and the number of rings y he must sell to make $40.

4 x + 6 y = 40 4x+6y=40 4 x + 6 y = 4 0

4 x − 6 y = 40 4x-6y=40 4 x − 6 y = 4 0

6 x + 4 y = 40 6x+4y=40 6 x + 4 y = 4 0

6 x − 4 y = 40 6x-4y=40 6 x − 4 y = 4 0

Which lines are perpendicular to 2 x − 7 y = − 25 2x-7y=-25 2 x − 7 y = − 2 5 ? Select all that apply.

7 x + 2 y = − 10 7x+2y=-10 7 x + 2 y = − 1 0

14 x + 4 y = 41 14x+4y=41 1 4 x + 4 y = 4 1

y = 2 7 x − 6 y=\frac{2}{7}x-6 y = 7 2 x − 6

y − 13 = 7 2 ( x + 8 ) y-13=\frac{7}{2}\left(x+8\right) y − 1 3 = 2 7 ( x + 8 )

Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 8 3 x y=\frac{8}{3}x y = 3 8 x

y = 8 3 x − 2 3 y=\frac{8}{3}x-\frac{2}{3} y = 3 8 x − 3 2

y = 8 3 x − 2 y=\frac{8}{3}x-2 y = 3 8 x − 2

y = 8 3 x − 3 2 y=\frac{8}{3}x-\frac{3}{2} y = 3 8 x − 2 3

y = 8 3 x + 2 y=\frac{8}{3}x+2 y = 3 8 x + 2

Line p passes through point (0, 8) and is perpendicular to the graph of y = 1 4 x + 2 y=\frac{1}{4}x+2 y = 4 1 x + 2 . Line q is parallel to line p and passes through point (–3, 6). Which is the equation of line q in slope-intercept form?

y = − 4 x − 6 y=-4x-6 y = − 4 x − 6

y = 1 4 x + 6 y=\frac{1}{4}x+6 y = 4 1 x + 6

y = − 1 4 x + 8 y=-\frac{1}{4}x+8 y = − 4 1 x + 8

y = 4 x − 8 y=4x-8 y = 4 x − 8

Algebra Topic 2: Linear Equations

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.CED.A.2, HSG.GPE.B.5, HSA.REI.C.6

+13

Standards-aligned

Used 75+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation matches the graph?

$y=-3x+1$

$y=-3x-1$

$y=-2x+1$

$y=-2x-1$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the line through (-2, -2) and (4, -5)?

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

$y=-\frac{1}{2}x-3$

$y=2x+2$

$y=-2x-6$

Tags

CCSS.HSA.CED.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks.

$y=25x+300$

$y=25x\ -\ 300$

$y\ =-25x-300$

$y=-25x+300$

Tags

CCSS.6.EE.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the graph of the equation you wrote in item 3, what does the y-intercept represents? (Fatima saving for a $300 bike)

Amount already saved

Total cost of the bike

Amount saved each week

Weeks it takes to save enough

Tags

CCSS.8.EE.B.5

5.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Complete the equation for the horizontal line that passes through (11, 4). y = ___ (your answer should only be a numerical value)

Tags

CCSS.HSA.CED.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For which values of A, B, and C will Ax + By = C be a vertical line through the point (7, 4)?

A = 1, B = 0, C = 4

A = 0, B = 1, C = 4

A = 0, B = 1, C = 7

A = 1, B = 0, C = 7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation matches the graph?

$y-2=4\left(x+1\right)$

$y-1=4\left(x+2\right)$

$y+2=-4\left(x+1\right)$

$y+1=-4\left(x+2\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

8.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope - 7?

$y+5=7\left(x+8\right)$

$y+5\ =-7\left(x+8\right)$

$y-5=7\left(x-8\right)$

$y-5=-7\left(x-8\right)$

9.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is an equation in point-slope form of the line that passes through (1, - 6) and (4, 6)?

$y+1=4\left(x-6\right)$

$y-1=4\left(x+6\right)$

$y+6=4\left(x-1\right)$

$y-6=4\left(x+1\right)$

Tags

CCSS.HSA.CED.A.2

10.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which equation matches the graph?

$\frac{5}{2}x+4y=10$

$4x+\frac{5}{2}y=10$

$8x+5y=40$

$5x-8y=40$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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