Systems of Equations

Interactive Video

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Mathematics

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9th - 12th Grade

•

Practice Problem

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Easy

•

CCSS

8.EE.C.8B, 8.EE.B.6, 8.EE.C.8A

Standards-aligned

Amanda Drozdowski

Used 8+ times

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B

CCSS.8.EE.B.6

CCSS.8.EE.C.8A

CCSS.8.EE.B.5

CCSS.8.F.A.3

CCSS.HSA.REI.C.6

9 questions

Show all answers

FILL IN THE BLANKS QUESTION

1 min • 1 pt

The point in which intersecting lines meet will be known as the (a) to the linear system.

Tags

CCSS.8.EE.C.8B

DROPDOWN QUESTION

1 min • 3 pts

Complete each sentence:
1. When two lines intersect there is (a) .
2. When two lines never intersect there is (b) .
3. When two lines overlap there is (c) .

one solution

no solution

infinitely many solutions

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line $y=2x+1$ ?

The slope is 2.

The slope is 1.

The slope is -2.

The slope is 2x.

Answer explanation

Remember the slope is the value before "x".

Tags

CCSS.8.EE.B.5

DROPDOWN QUESTION

1 min • 2 pts

Complete the sentence based on the equation $y=-\frac{3}{2}x+8$ :
The slope of the line is (a) and the y-intercept of the line is (b) .

$-\frac{3}{2}$

-8

-3

-2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for the linear system?
$y=2x+1$
$y=-\frac{3}{2}x+8$

(2, 0)

(1, 8)

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

DROPDOWN QUESTION

1 min • 2 pts

In order to get the equation $4y=5x-12$ in slope-intercept form, we must (a) on each side of the equation to get (b) .

divide by 4

multiply by 4

$y=\frac{5}{4}x-3$

y=20x-48

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

DROPDOWN QUESTION

1 min • 1 pt

Parallel lines have the SAME SLOPE and different y-intercepts. So they have (a) .

no solution

one solution

infinite solutions

Tags

CCSS.8.EE.C.8A

DROPDOWN QUESTION

1 min • 2 pts

To get the equation $y+3=-4x$ in slope-intercept form, we have to (a) to get the equation (b)

subtract by 3

$y=-4x-3$

add by 3

y=-4x+3

y=-7x

Answer explanation

Remember: -4x and -3 are NOT like terms!

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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Systems of Equations

9 questions

The point in which intersecting lines meet will be known as the (a) to the linear system.

Complete each sentence:1. When two lines intersect there is ​ (a) . 2. When two lines never intersect there is ​ (b) . 3. When two lines overlap there is ​ (c) .

What is the slope of the line y=2x+1y=2x+1y=2x+1 ?

Remember the slope is the value before "x".

Complete the sentence based on the equation y=−32x+8y=-\frac{3}{2}x+8y=−23​x+8 :The slope of the line is ​ (a) and the y-intercept of the line is ​ (b) .

What is the solution for the linear system? y=2x+1y=2x+1y=2x+1 y=−32x+8y=-\frac{3}{2}x+8y=−23​x+8

In order to get the equation 4y=5x−124y=5x-124y=5x−12 in slope-intercept form, we must ​ (a) on each side of the equation to get​ ​ (b) .

Parallel lines have the SAME SLOPE and different y-intercepts. So they have ​ (a) .

To get the equation y+3=−4xy+3=-4xy+3=−4x in slope-intercept form, we have to ​ (a) to get the equation ​ (b)

Remember: -4x and -3 are NOT like terms!

These equations have the SAME SLOPE and SAME Y-INTERCEPT. They are the same lines, just overlapping. So they have ​ (a) .

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Discover more resources for Mathematics

Complete each sentence:
1. When two lines intersect there is (a) .
2. When two lines never intersect there is (b) .
3. When two lines overlap there is (c) .

What is the slope of the line $y=2x+1$ ?

Complete the sentence based on the equation $y=-\frac{3}{2}x+8$ :
The slope of the line is (a) and the y-intercept of the line is (b) .

What is the solution for the linear system?
$y=2x+1$
$y=-\frac{3}{2}x+8$

In order to get the equation $4y=5x-12$ in slope-intercept form, we must (a) on each side of the equation to get (b) .

Parallel lines have the SAME SLOPE and different y-intercepts. So they have (a) .

To get the equation $y+3=-4x$ in slope-intercept form, we have to (a) to get the equation (b)

These equations have the SAME SLOPE and SAME Y-INTERCEPT. They are the same lines, just overlapping. So they have (a) .