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Solving Systems of Equations

Solving Systems of Equations

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, HSA-REI.B.4B, 8.F.A.1

+3

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.HSA-REI.B.4B
,
CCSS.8.F.A.1
CCSS.HSA.REI.C.9
,
CCSS.HSA.REI.C.6
,
CCSS.HSF.IF.A.1
,
The video tutorial explains how to find solutions to a system of equations: y = 1/2 x and 2x^2 - y^2 = 7. It demonstrates using substitution to solve the equations, finding x values through algebraic manipulation, and determining corresponding y values. The solutions are verified to satisfy both equations, resulting in the points (2, 1) and (-2, -1).

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial system of equations discussed in the video?

y = x and x^2 + y^2 = 7

y = 1/2x and 2x^2 - y^2 = 7

y = 2x and 2x^2 + y^2 = 7

y = 1/2x and x^2 - y^2 = 7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is suggested to solve the system of equations?

Matrix method

Elimination method

Substitution method

Graphical method

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What expression is substituted for y in the second equation?

2x

x^2

1/2x

x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying 2x^2 - (1/2x)^2?

5/4x^2

3/4x^2

1/4x^2

7/4x^2

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible values of x after solving the equation?

x = 2 or -2

x = 3 or -3

x = 1 or -1

x = 4 or -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x is 2, what is the corresponding value of y?

y = -1

y = 0

y = 1

y = 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x is -2, what is the corresponding value of y?

y = 2

y = 0

y = -1

y = 1

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