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Understanding Algebraic Equations

Understanding Algebraic Equations

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

CCSS
3.OA.B.6, HSA.CED.A.3, 8.EE.C.8B

+2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.3.OA.B.6
,
CCSS.HSA.CED.A.3
,
CCSS.8.EE.C.8B
CCSS.6.EE.A.2C
,
CCSS.HSA.REI.C.6
,
The video tutorial explains how to solve a mathematical problem involving a fraction with variables. It starts by setting up the equation and suggests that cross-multiplication is unnecessary. Instead, it derives a system of equations from the given problem. By adding the equations, the value of x is found. Substituting this value into one of the original equations, the value of y is determined. Finally, the video concludes by calculating the ratio of x to y, which is five-fourths.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step suggested to solve the equation (x + y) / (x - y) = 9?

Cross-multiply the equation

Subtract y from x

Add x and y together

Write 9 as a fraction with a denominator of 1

Tags

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What system of equations is derived from the given problem?

x + y = 9 and x - y = 1

x + y = 1 and x - y = 9

x - y = 9 and x + y = 1

x = 9 and y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After adding the two equations, what is the value of x?

x = 4

x = 5

x = 7

x = 6

Tags

CCSS.6.EE.A.2C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y after substituting x = 5 into the equation?

y = 2

y = 3

y = 4

y = 5

Tags

CCSS.3.OA.B.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of x divided by y?

3/4

4/5

5/4

6/5

Tags

CCSS.3.OA.B.6

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